<table>
<tr>
<td>[[image:Cube-icon.png | link=Getting_Started_with_EM.Cube]] [[image:cad-ico.png | link=Building_Geometrical_Constructions_in_CubeCAD]] [[image:fdtd-ico.png | link=EM.Tempo]] [[image:prop-ico.png | link=EM.Terrano]] [[image:static-ico.png | link=EM.Ferma]] [[image:planar-ico.png | link=EM.Picasso]] [[image:metal-ico.png | link=EM.Libera]] [[image:po-ico.png | link=EM.Illumina]]</td>
<tr>
</table>
[[Image:Back_icon.png|30px]] '''[[EM.Cube | Back to EM.Cube Main Page]]'''
<br />
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== Box Tool ==
</table>
== Cylinder Circle Strip Tool ==
ICON: [[File:cylinder_tool_tncirclestrip_tool_tn.png]]
MENU: '''Object Objects → Solid Surfaces → CylinderCircle Strip'''
TO DRAW A CYLINDERCIRCLE STRIP:
# Activate the '''Cylinder Circle Strip Tool'''.# Left-click to establish define the center of the bottom base.origin# Drag the mouse away from the origin to create establish the desired base radius. Left-click a second time to establish the cylinder's base.# Drag the mouse up and away from the active work plane to establish the cylinder's height. Left-click a third time to complete the cylindercircle strip.
PYTHON COMMAND: cylindercirc_strip(label,x0,y0,z0,radiusouter_radius,heightinner_radius[,start_angle,end_angle,cap_top,cap_bottom])
CYLINDER CIRCLE STRIP PARAMETERS
{| class="wikitable"
|-
| local rotation about Z-axis
|-
! scope="row" | base_radiusouter_radius
| real numeric
| project units
| -
| -circle's outer radius
|-
! scope="row" | heightinner_radius
| real numeric
| project units
| - 0 | -inner radius creating a ring object
|-
! scope="row" | start_angle
| real numeric
| degrees
| 0
| start azimuth angle
|-
| real numeric
| degrees
| 360
| end azimuth angle
|}
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<table>
<tr>
<td>
[[Image:cad_surf2.png|thumb|left|480px|The property dialog of the circle strip object.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:resize_circular_strip_new.png|thumb|left|550px|The geometry of the circle strip object with zero inner radius.]]
</td>
</tr>
<tr>
<td>
[[Image:Cad_surf2_2nd.png|thumb|left|480px|The property dialog of the circle strip object with a nonzero inner radius.]]
</td>
</tr>
<tr>
<td>
[[Image:09b_circle_strip_tn_newA.png|thumb|left|550px|The geometry of the circle strip object with a nonzero inner radius.]]
</td>
</tr>
<tr>
<td>
[[Image:Cad_surf2_3rd.png|thumb|left|480px|The property dialog of the circle strip object with nonzero start and end angles.]]
</td>
</tr>
<tr>
<td>
[[Image:09b_circle_strip_tn_newB.png|thumb|left|550px|A circle strip with nonzero start and end angles.]]
</td>
</tr>
</table>
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== Circle Tool ==
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ICON: [[File:circle_tool_tn.png]]
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MENU: '''Object → Curve → Circle'''
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TO DRAW A CIRCLE:
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# Activate the '''Circle Tool'''.
# Left-click at the desired location on the active grid to establish the origin.
# Drag your mouse away from the origin to set the desired radius.
# Left click a second time to complete the circle.
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PYTHON COMMAND: circle(label,x0,y0,z0,radius,start_angle,end_angle)
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CIRCLE PARAMETERS
{| class="wikitable"
|-
! scope="rowcol" | cap_topParameter Name! scope="col"| BooleanValue Type! scope="col"| -Units! scope="col"| TRUE Default Value! scope="col"| places a cap at topNotes
|-
! scope="row" | cap_bottomLCS_X| Booleanreal numeric| project units | - | X-coordinates of base |-! scope="row" | LCS_Y | real numeric| project units | - | Y-coordinates of base |-! scope="row" | LCS_Z| real numeric| project units | - | Z-coordinates of base |-! scope="row" | rot_X| real numeric| degrees | - | local rotation about X-axis|-! scope="row" | rot_Y| real numeric| degrees | - | local rotation about Y-axis|-! scope="row" | rot_Z| real numeric| degrees | - | local rotation about Z-axis|-! scope="row" | radius| real numeric| project units | -
| -
| TRUE -! scope="row" | places a cap at bottom basestart_angle| real numeric| degrees| 0| start azimuth angle|-! scope="row" | end_angle| real numeric| degrees| 360| end azimuth angle
|}
<tr>
<td>
[[Image:cad_solid2cad_curve2.png|thumb|left|480px|The property dialog of the cylinder circle object.]]
</td>
</tr>
<tr>
<td>
[[Image:resize_cylinder_newresize_circle_new.png|thumb|left|550px|The geometry of the cylinder circle object.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:02b_cylinder_tn_new21_circle_tn_newA.png|thumb|left|550px|The local coordinate system (LCS) of the circle object.]] </td></tr><tr><td> [[Image:Cad_curve2_2nd.png|thumb|left|480px|The property dialog of the circle object with nonzero start and end angles.]] </td></tr><tr><td> [[Image:21_circle_tn_newB.png|thumb|left|550px|A cylinder circle with a nonzero start and end angleangles.]]
</td>
</tr>
</td>
</tr>
<tr>
<td>
[[Image:Cad_solid3_2nd.png|thumb|left|480px|The property dialog of the cone object with a nonzero top radius.]]
</td>
</tr>
</table>
<table>
<tr>
<tr>
<td>
</table>
== Pyramid Tool Curve Generator ==
ICON: [[File:pyramid_tool_tncurve_gen_tool_tn.png]]
MENU: '''Object → Solid Curve → PyramidCurve Generator'''
TO DRAW A PYRAMIDPARAMETRIC CURVE:
# Activate the '''Pyramid Curve Generator Tool'''.# Left-click to establish the first point location of the rectangular base planenew parametric curve. A default oblique line appears in the project workspace.# Define The curve generator dialog opens up on the desired area lower left corner of the base screen. You have three options for '''Model''' type: '''Cartesian Curve''', '''Polar Curve''' or '''Parametric Curve'''. The default option is the Cartesian curve. # In the case of a Cartesian curve, you also have three options for '''Orientation''': XY, YZ or ZX planes. With the XY plane by dragging orientation, the mouse away from Cartesian curve is expressed as y = f(x). With the first pointYZ plane orientation, the Cartesian curve is expressed as z = f(y). Left-click a second time to establish With the base ZX planeorientation, the Cartesian curve is expressed as x = f(z). # Drag Enter the mouse away from start, stop and step values for the base range of the coordinate variable in the selected orientation plane to establish .# Enter a mathematical expression in terms of the coordinate variable in the selected orientation plane for the definition of the desired heightCartesian curve. Left-click # In the case of a third time polar curve, the radial coordinate is expressed as a function of the polar angle t: r = r(t). # In the case of a parametric curve, the x, y and z coordinates are expressed as three separate functions of the parameter t: x(t), y(t), z(t). # For a polar or parametric curve, enter the start, stop and step values for the range of the variable t.# Enter the defining expression(s) for the curve. # Make sure to click the <b>OK</b> button of the dialog to complete the pyramidcurve construction.
NOTES, SPECIAL CASES OR EXCEPTIONS: You can always edit and modify a parametric curve after you first create it in the curve generator. The property dialog of a parametric curve object is indeed the curve generator itself, where you can change the parameter values or the defining expression(s). All the curves created by the curve generator are of the polyline type.
PYTHON COMMAND: pyramid(label,x0,y0,z0,base_x,base_y,height[,top_x,top_y,cap_top,cap_bottom])
PYTHON COMMAND: param_curve(label,x0,y0,z0,model,orientation,start,stop,step,function[,y(t),z(t)])
PYRAMID PARAMETRIC CURVE PARAMETERS
{| class="wikitable"
|-
| project units
| -
| X-coordinates of base the surface
|-
! scope="row" | LCS_Y
| project units
| -
| Y-coordinates of base the surface
|-
! scope="row" | LCS_Z
| project units
| -
| Z-coordinates of base the surface
|-
! scope="row" | rot_X
| real numeric
| degrees
| - 0
| local rotation about X-axis
|-
| real numeric
| degrees
| - 0
| local rotation about Y-axis
|-
| real numeric
| degrees
| - 0
| local rotation about Z-axis
|-
! scope="row" | base_size_Xmodel| real numericthree options: Cartesian, polar or parametric| project units - | - Cartesian| -the curve definition type
|-
! scope="row" | base_size_Yorientation| real numericthree options: XY, YZ or ZX| project units - | - XY | -the coordinate plane in which the Cartesian curve is drawn (only for Cartesian curve)
|-
! scope="row" | top_size_Xstart
| real numeric
| project units
| 0
| -start value of range of the coordinate variable
|-
! scope="row" | top_size_Ystop
| real numeric
| project units
| 0 10 | -stop value of range of the coordinate variable
|-
! scope="row" | heightstep| real integer numeric
| project units
| - 1| -step value of range of the coordinate variable
|-
! scope="row" | top_offset_Xfunction| real numeric| project units | 0 text string
| -
| x
| mathematical expression in the local coordinate variable
|-
! scope="row" | top_offset_Yy(t)| real numeric| project units | 0 text string
| -
| t
| mathematical expression in the variable t (only for parametric curve)
|-
! scope="row" | fix_center_Xz(t)| Booleantext string
| -
| TRUE t| fixes X-coordinate of base|-! scope="row" | fix_center_Y| Boolean| -| TRUE | fixes Y-coordinate of base|-! scope="row" | cap_top| Boolean| -| TRUE | places a cap at top|-! scope="row" | cap_bottom| Boolean| -| TRUE | places a cap at bottom basemathematical expression in the variable t (only for parametric curve)
|}
<tr>
<td>
[[Image:cad_solid4cad_curve10.png|thumb|left|480px|The property curve generator dialog of showing the pyramid objectdefault Cartesian curve.]]
</td>
</tr>
<tr>
<td>
[[Image:resize_pyramid_newCad curve11_new.png|thumb|left|550px|The geometry of default Cartesian curve created by the pyramid objectcurve generator.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:04b_pyramid_tn_newACad curve12_new.png|thumb|left|550px480px|A pyramid with nonzero top dimensionsThe curve generator dialog showing a super-quadratic helical parametric curve.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:04b_pyramid_tn_newBCad curve13_new.png|thumb|left|550px|A pyramid with nonzero top offset valuesThe super-quadratic helical parametric curve created by the curve generator.]]
</td>
</tr>
</table>
== Sphere Cylinder Tool ==
ICON: [[File:sphere_tool_tncylinder_tool_tn.png]]
MENU: '''Object → Solid → SphereCylinder'''
TO DRAW A SPHERECYLINDER:
# Activate the '''Sphere Cylinder Tool'''.# Left-click to establish the origin pointcenter of the bottom base. # Drag the mouse outward away from the origin to establish create the desired base radius. Left-click a second time to establish the cylinder's base.# Drag the mouse up and away from the active work plane to establish the cylinder's height. Left-click a second third time to complete the spherecylinder.
PYTHON COMMAND: spherecylinder(label,x0,y0,z0,radius,height[,start_angle,end_angle,cap_top,cap_bottom])
SPHERE CYLINDER PARAMETERS
{| class="wikitable"
|-
| local rotation about Z-axis
|-
! scope="row" | radiusbase_radius| real numeric| project units | - | -|-! scope="row" | height
| real numeric
| project units
| 360
| end azimuth angle
|-
! scope="row" | cap_top
| Boolean
| -
| TRUE
| places a cap at top
|-
! scope="row" | cap_bottom
| Boolean
| -
| TRUE
| places a cap at bottom base
|}
<tr>
<td>
[[Image:cad_solid5cad_solid2.png|thumb|left|480px|The property dialog of the sphere cylinder object.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:resize_sphere_newresize_cylinder_new.png|thumb|left|550px|The geometry of the sphere cylinder object.]]
</td>
</tr>
<tr>
<td>
[[Image:05b_sphere_tn_newCad_solid2_2nd.png|thumb|left|480px|The property dialog of the cylinder object with a nonzero end angle.]] </td></tr><tr><td> [[Image:02b_cylinder_tn_new.png|thumb|left|550px|A sphere cylinder with a nonzero end angle.]]
</td>
</tr>
</table>
== Ellipsoid Ellipse Strip Tool ==
ICON: [[File:ellipsoid_tool_tnellipsestrip_tool_tn.png]]
MENU: '''Object → Solid Surface → EllipsoidEllipse Strip'''
TO DRAW AN ELLIPSOIDELLIPSE STRIP:
# Activate the '''Ellipsoid Ellipse Strip Tool'''.# Left-click to define establish the first X-radius anchor point.# Drag the mouse to the desired length. left-click a second time to define the ending X-radius anchor point/Y axis origin.# Drag the mouse away from the X radius origin to establish the desired Y-radiuslocation. Left-click a third time to define the Y radius.# Drag the mouse away from the active plane to define the Z radius. Left-click a fourth second time to complete create the ellipsoidellipse.
PYTHON COMMAND: ellipsoidellipse_strip(label,x0,y0,z0,radius_x,radius_y,radius_z[,start_angle,end_angle])
ELLIPSOID ELLIPSE STRIP PARAMETERS
{| class="wikitable"
|-
| project units
| -
| radius along X-axis
|-
! scope="row" | radius_Y
| project units
| -
| radius along Y-|-! scope="row" | radius_Z| real numeric| project units | - | -axis
|-
! scope="row" | start_angle
| real numeric
| degrees
| 0
| start azimuth angle
|-
| real numeric
| degrees
| 360
| end azimuth angle
|-
! scope="row" | fix_center_X
| Boolean
| -
| TRUE
| fixes X-coordinate of base
|-
! scope="row" | fix_center_Y
| Boolean
| -
| TRUE
| fixes Y-coordinate of base
|}
<tr>
<td>
[[Image:cad_solid6cad_surf4.png|thumb|left|480px|The property dialog of the ellipsoid ellipse strip object.]]
</td>
</tr>
<tr>
<td>
[[Image:resize_ellipsoid_newresize_elliptical_strip_new.png|thumb|left|550px|The geometry of the ellipsoid ellipse strip object.]] </td></tr><tr><td> [[Image:06b_ellipsoid_tn_new.png|thumb|left|550px|An ellipsoid with a nonzero end angle.]]
</td>
</tr>
</table>
== Torus Ellipsoid Tool ==
ICON: [[File:torus_tool_tnellipsoid_tool_tn.png]]
MENU: '''Object → Solid → TorusEllipsoid'''
TO DRAW A TORUSAN ELLIPSOID:
# Activate the '''Torus Ellipsoid Tool'''.# Left-click to define the center first X-radius anchor point.# Drag the mouse away from to the origin and desired length. left-click a second time to establish define the Major Radius of the torusending X-radius anchor point.# Drag the mouse away from the Major Radius construction path X radius to establish the Minor Radiusdesired Y-radius. Left-click a third time to define the Y radius.# Drag the mouse away from the active plane to define the Z radius. Left-click a fourth time to complete the torusellipsoid.
PYTHON COMMAND: torusellipsoid(label,x0,y0,z0,radius_majorradius_x,radius_minorradius_y,radius_z[,start_angle,end_angle])
TORUS ELLIPSOID PARAMETERS
{| class="wikitable"
|-
| local rotation about Z-axis
|-
! scope="row" | major_radiusradius_X
| real numeric
| project units
| -
|-
! scope="row" | minor_radiusradius_Y| real numeric| project units | - | -|-! scope="row" | radius_Z
| real numeric
| project units
<tr>
<td>
[[Image:cad_solid4toruscad_solid6.png|thumb|left|480px|The property dialog of the torus ellipsoid object.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:resize_torus_newresize_ellipsoid_new.png|thumb|left|550px|The geometry of the torus ellipsoid object.]]
</td>
</tr>
<tr>
<td>
[[Image:07b_torus_tn_newcad_solid6.png|thumb|left|550px480px|A torus The property dialog of the ellipsoid object with a nonzero end start angle.]]
</td>
</tr>
</table>
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== Solid Generator ==
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ICON: [[File:solid_gen_tool_tn.png]]
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MENU: '''Object → Solid → Solid Generator'''
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TO DRAW A PLATONIC SOLID:
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# Activate the '''Solid Generator Tool'''.
# In the solid generator dialog, select one of the five platonic solid types '''Tetrahedron''', '''Hexahedron''' '''Octahedron''', '''Dodecahedron''', or '''Icosahedron'''.
# The dialog shows the number of faces, edges, nodes and the side length of the standard platonic solid of the selected type.
# Specify the value of the '''Scale''' parameter based on the displayed '''Side Length'''.
# Before you create the solid and add its name to the navigation tree, you have an opportunity to preview it. To do so, click the {{key|Preview}} button of the dialog. A yellow ghost of the solid appears in the project workspace. You can change the scale and resize the solid. Once you are satisfied with the generated solid, click the {{key|Create}} button to finalize its creation.
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NOTES, SPECIAL CASES OR EXCEPTIONS: All the solid objects generated by the solid generator are of polymesh type.
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PYTHON COMMAND: None
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PLATONIC SOLID PROPERTIES
{| class="wikitable"
|-
! scope="col"| Solid Type
! scope="col"| No. of Faces
! scope="col"| No. of Edges
! scope="col"| No. of Vertices
! scope="col"| Side Length
! scope="col"| Geometry
|-
! scope="row" | Tetrahedron
| 4
| 6
| 4
| 2
| [[Image:CAD MAN23.png|thumb|left|150px]]
|-
! scope="row" | Tessellated Hexahedron
| 12
| 12
| 8
| 2
| [[Image:CAD MAN24.png|thumb|left|150px]]
|-
! scope="row" | Octahedron
| 8
| 12
| 6
| √2
| [[Image:CAD MAN25.png|thumb|left|150px]]
|-
! scope="row" | Tessellated Dodecahedron
| 36
| 30
| 20
| √5 - 1
| [[Image:CAD MAN26.png|thumb|left|150px]]
|-
! scope="row" | Icosahedron
| 20
| 30
| 12
| 2
| [[Image:CAD MAN27.png|thumb|left|150px]]
|}
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<table>
<tr>
<td>
[[Image:cad_solid806b_ellipsoid_tn_new.png|thumb|left|480px550px|The solid generator dialogAn ellipsoid with a nonzero start angle.]]
</td>
</tr>
</table>
== Rectangle Strip Fractal Tree Tool ==
ICON: [[File:rectstrip_tool_tnfractal_tool_tn.png]]
MENU: '''Object → Surface Special → Rectangle StripFractal Tree'''
TO DRAW A RECTANGLE STRIPFRACTAL TREE:
# Activate the '''Rectangle Strip Fractal Tree Tool'''. # Left-click to establish the X/Y axial triangulation pointlocation of the fractal tree. A default horizontal fractal tree appears in the project workspace.# Drag The fractal dialog opens up on the mouse outward from this point to define the desired area lower right corner of the rectangle stripscreen. Left-You have two options: fractal tree with linear or cylindrical branches. You can also set the number of fractal levels.# Make sure to click a second time the <b>OK</b> button of the dialog to complete the shapefractal construction.
NOTES, SPECIAL CASES OR EXCEPTIONS: The parameter '''Gen. Factor''' determines how many new next-level branches are generated at the end of each branch. '''Separation Angle''' sets the angle between each pair of branches at each node. The '''Prune Factor''' determines what percentage of branches are removed randomly at each node. With a default zero prune factor, all the branches are kept. The parameter '''Thickness''' represents the diameter of the main branch in the case of a cylinder key object. The parameter '''Thickness Factor''' determines the tapering of each cylindrical branch from its start point to the end point. A zero thickness factor means no branch tapering.
PYTHON COMMAND: rect_strip(labelYou can change the coordinates of the LCS of a fractal tree or its rotation angle. From the fractal dialog,x0,y0,z0,side_x,side_y)you can also access the properties of the key object by clicking the {{key|Edit Primitive...}} button of this dialog.
{{Note|Fractal tree operations are usually very time consuming especially when the key object type is a cylinder. Please be patient while [[EM.Cube]] is running fractal tree creation or edit operations.}}
RECTANGLE STRIP PYTHON COMMAND: fractal_tree(label,x0,y0,z0,key_type,key_size,n_level,sep_angle,n_gen,prune_factor,thickness,thick_factor)Â Â FRACTAL TREE PARAMETERS
{| class="wikitable"
|-
| local rotation about Z-axis
|-
! scope="row" | side_Xkey_object_type| real numericLine or Cylinder| project units - | - Line | dimension along X-axis
|-
! scope="row" | side_Ylevel_count| integer numeric| -| 3| number of fractal levels|-! scope="row" | separation_angle
| real numeric
| project units degrees| - 30| dimension along Y-axisangle between two adjacent branches
|-
! scope="row" | fix_center_Xgeneration_factor| Booleaninteger numeric
| -
| TRUE 3| fixes X-coordinate Number of basenew branches generated at each node
|-
! scope="row" | fix_center_Yprune_factor| Booleanreal numeric
| -
| TRUE 0| fixes Y-coordinate A number between 0 and 1 representing the percentage of basebranches randomly deleted
|-
! scope="row" | rect_loopthickness| Booleanreal numeric| -project units| FALSE1| if TRUE, creates a rectangular loopdiameter of branches
|-
! scope="row" | loop_widththickness_factor
| real numeric
| project units
| -
| -
| 0.2
| A number between 0 and 1 representing the percentage of tapering of each cylindrical branch upward
|}
<tr>
<td>
[[Image:cad_surf1CAD MAN20.png|thumb|left|480px|The property fractal tree dialog of the rectangle strip object.]]
</td>
</tr>
<tr>
<td>
[[Image:resize_rectangular_strip_newCAD MAN21.png|thumb|left|550px|The geometry of the rectangle strip a fractal tree with a line key object.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:lock_base_tnCAD MAN22.jpgpng|thumb|left|550px|Locking the base The geometry of a rectangle strip.]] </td></tr><tr><td> [[Image:draw_modes_tn.jpg|thumb|left|550px|The different drawing modes of rectangle stripfractal tree with a cylinder key object.]]
</td>
</tr>
</table>
== Circle Strip Helix Tool ==
ICON: [[File:circlestrip_tool_tnhelix_tool_tn.png]]
MENU: '''Objects Object → Surfaces Curve → Circle StripHelix'''
TO DRAW A CIRCLE STRIPHELIX:
# Activate the '''Circle Strip Helix Tool'''. # Left-click to define establish the originof the inner-radius.# Drag the mouse away from the origin to establish expand the desired inner radius, (toward it to contract the inner radius). # Left-click a second time to set the inner radius and to establish the anchor point from which you will set the height of the helix.# Drag your cursor "up" and away from the second anchor point to increase the height of the helix.# Left-click a third time to complete the circle striphelix.
NOTES, SPECIAL CASES OR EXCEPTIONS: You can define a helix curve with different values for '''Inner Radius''' and '''Outer Radius''', which make the curve expanding or shrinking. The '''Height''' parameter establishes the elevation of the end point of the helix with respect to start point.
PYTHON COMMAND: circ_strip(label,x0,y0,z0,outer_radius,inner_radius[,start_angle,end_angle])
PYTHON COMMAND: helix(label,x0,y0,z0,radius_inner,radius_outer,height,nturns,helix_dir)
CIRCLE STRIP HELIX PARAMETERS
{| class="wikitable"
|-
| -
| local rotation about Z-axis
|-
! scope="row" | inner_radius
| real numeric
| project units
| same as outer radius
| -
|-
! scope="row" | outer_radius
| project units
| -
| circle's outer radius-
|-
! scope="row" | inner_radiusheight
| real numeric
| project units
| 0 - | inner radius creating a ring object-
|-
! scope="row" | start_angleturns| real integer numeric| degreesproject units | 02| start azimuth anglenumber of spiral turns
|-
! scope="row" | end_angleccw| real numericBoolean| degrees-| 360TRUE| end azimuth angleif TRUE, creates counterclockwise right-handedness
|}
<tr>
<td>
[[Image:cad_surf2cad_curve7.png|thumb|left|480px|The property dialog of the circle strip helix curve object.]]
</td>
</tr>
<tr>
<td>
[[Image:resize_circular_strip_newresize_helix_new.png|thumb|left|550px|The geometry of the circle strip helix curve object with zero inner radius.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:09b_circle_strip_tn_newA26_helix_tn_new.png|thumb|left|550px|The geometry local coordinate system (LCS) of the circle strip helix curve object with a nonzero inner radius.]] </td></tr><tr><td> [[Image:09b_circle_strip_tn_newB.png|thumb|left|550px|A circle strip with a nonzero start angle.]]
</td>
</tr>
</table>
== Radial Strip Hyperbola Tool ==
ICON: [[File:radialstrip_tool_tnhyperbola_tool_tn.png]]
MENU: '''Object → Surface Curve → Radial StripHyperbola'''
TO DRAW A RADIAL STRIPHYPERBOLA:
# Activate the '''Radial Strip Hyperbola Tool'''. # Left-click to establish define the X-radius origin point. Construction guides will appear to aid in the drawing process.# Drag the mouse away from the origin and leftto establish the desired X-radius. Left-click a second time to .# To establish the Y-radius and the first hyperbola's leg of the radial strip.# Drag length, drag the mouse to the desired location to define the angle of the radial strip. Leftand left-click a third time to complete the radial stripHyperbola.
NOTES, SPECIAL CASES OR EXCEPTIONS: Checking the box labeled '''Neg. Branch''' creates the opposite branch of the hyperbola curve. Checking the box labeled '''Create Half''' bisects the hyperbola and removes its bottom half. You can revolve the resulting curve to create a hyperboloid.
PYTHON COMMAND: radial_strip(label,x0,y0,z0,radius,base_lenght,angle)
PYTHON COMMAND: hyperbola(label,x0,y0,z0,diam_x,diam_y,axial_length,half_only)
RADIAL STRIP HYPERBOLA PARAMETERS
{| class="wikitable"
|-
| local rotation about Z-axis
|-
! scope="row" | radiusdiameter_X
| real numeric
| project units
| -
| diameter along X-axis
|-
! scope="row" | base_lengthdiameter_Y
| real numeric
| project units
| 0 - | A nonzero value creates a flattened basediameter along Y-axis
|-
! scope="row" | angleaxial_length
| real numeric
| degreesproject units | -
| -
| wedge angle-! scope="row" | create_half| Boolean| -| FALSE| if TRUE, draws one half of one branch only|-! scope="row" | negative_branch| -| FALSE| if TRUE, draws the negative branch only
|}
<tr>
<td>
[[Image:cad_surf3cad_curve5.png|thumb|left|480px|The property dialog of the radial strip hyperbola curve object.]]
</td>
</tr>
<tr>
<td>
[[Image:resize_radial_strip_new24a_hyperbola_tn_new.png|thumb|left|550px|The geometry of the radial strip hyperbola curve object.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:10b_radial_strip_tn_new24b_hyperbola_tn_new.png|thumb|left|550px720px|A radial strip object with Drawing a nonzero base lengthhalf-hyperbola or the negative branch of the hyperbola.]]
</td>
</tr>
</table>
== Ellipse Strip Line Tool ==
ICON: [[File:ellipsestrip_tool_tnline_tool_tn.png]]
MENU: '''Object → Surface Curve → Ellipse StripLine'''
TO DRAW AN ELLIPSE STRIPA LINE:
# Activate the '''Ellipse Strip Line Tool'''. # Left-left click anywhere on the workplane to establish begin drawing the X/Y axis originline.# Drag the mouse away from the origin to the desired location. Leftleft-click a second time to create complete the ellipseline.
NOTES, SPECIAL CASES OR EXCEPTIONS: When the check box '''Lock Center''' is checked, changing the line's length expands or shrinks it equally from both ends. To create a line perpendicular to the current work plane, hold down the {{key|Alt}} key while dragging the mouse to establish the line's end point.
PYTHON COMMAND: ellipse_strip(label,x0,y0,z0,radius_x,radius_y[,start_angle,end_angle])
PYTHON COMMAND: line(label,x0,y0,z0,len[,dir])
ELLIPSE STRIP LINE PARAMETERS
{| class="wikitable"
|-
| local rotation about Z-axis
|-
! scope="row" | radius_Xlength
| real numeric
| project units
| -
| radius along X-axis
|-
! scope="row" | radius_Y
| real numeric
| project units
| -
| radius along Y-axis
|-
! scope="row" | start_angle
| real numeric
| degrees
| 0
| start azimuth angle
|-
! scope="row" | end_angle
| real numeric
| degrees
| 360
| end azimuth angle
|-
! scope="row" | fix_center_X
| Boolean
| -
| TRUE
| fixes X-coordinate of base
|-
! scope="row" | fix_center_Yfix_center
| Boolean
| -
| TRUE FALSE| fixes Y-coordinate of basemidpoint coordinates
|}
<tr>
<td>
[[Image:cad_surf4cad_curve1.png|thumb|left|480px|The property dialog of the ellipse strip line object.]]
</td>
</tr>
<tr>
<td>
[[Image:resize_elliptical_strip_newvert_line_new.png|thumb|left|550px|The geometry Drawing a vertical line object: Left click anywhere on the workplane to begin drawing the line; while still in âDraw Modeâ, press and hold down the {{key | Alt}} button of the ellipse strip keyboard.]] </td></tr><tr><td> [[Image:18_Line_tn_new.png|thumb|left|550px|Drawing a horizontal line object.]]
</td>
</tr>
</table>
== Triangle Strip NURBS Curve Tool ==
ICON: [[File:trianglestrip_tool_tnnurbs_tool_tn.png]]
MENU: '''Object → Surface Curve → Triangle StripNURBS'''
TO DRAW A TRIANGLE STRIPNURBS CURVE:
# Activate the '''Triangle Strip NURBS Curve Tool'''. # Left-click Click anywhere on the active work plane to establish create nodes. The contour of the triangles originNURBS Curve is rendered as soon as the second node is defined. A NURBS Curve must have at least two nodes.# Drag away from Create as many nodes as you want. You can finish the origin and leftdrawing either by double-click a second time to define Leg 1 of clicking on the trianglelast node or first creating the last node and pressing the keyboard's {{key|Enter}} key.# Drag away from leg 1, left-click a third The NURBS Curve can be closed at any time using the keyboard shortcut {{key|C}}. This connects the last drawn node to define Leg 2 and complete the trianglefirst.
NOTES, SPECIAL CASES OR EXCEPTIONS: '''Side 1''' establish If a NURBS Curve object is originally drawn as an open curve, you can turn it into a closed one by placing a check mark in the length of first leg of the triangle. box labeled '''Side 2Close Curve''' establishes the length . The property dialog of a NURBS Curve object lists the second leg of individual nodes and their coordinates ordered by the triangle '''Angle''' defines node ID. You can select and highlight each node and change its coordinates using the opening angle {{key|Edit}} button of the origin vertex (dialog. You can also delete each node using the angle {{key|Delete}} key or insert a new node between leg one the selected node and leg two). Hold down its next node using the {{key|ShiftInsert}} key while positioning . The new node is placed at the third point of midpoint between the selected node and the triangle to constrain node having the origin angle to 15º incrementsnext ID number.
PYTHON COMMAND: triangle_stripnurbs_curve(label,(x0,y0,z0),side1(x1,side2y1,anglez1) ... )
TRIANGLE <table><tr><td> [[Image:cad_curve9_new.png|thumb|left|480px|The property dialog of the NURBS curve object.]] </td></tr></table><table><tr><td> [[Image:20_Nurbs_tn_new.png|thumb|left|550px|Drawing a NURBS curve.]] </td></tr></table> == NURBS Strip Tool == ICON: [[File:nurbsstrip_tool_tn.png]]  MENU: '''Object → Surface → NURBS Strip''' TO DRAW A NURBS STRIP : # Activate the '''NURBS Strip Tool'''. # Click anywhere on the active work plane to create nodes. The contour of the NURBS strip is rendered as soon as the third node is defined. A NURBS Strip must have at least three nodes.# Create as many nodes as you want. You can finish the drawing either by double-clicking on the last node or first creating the last node and pressing the keyboard's {{key|Enter}} key.  NOTES, SPECIAL CASES OR EXCEPTIONS: The property dialog of a NURBS strip object lists the individual nodes and their coordinates ordered by the node ID. You can select and highlight each node and change its coordinates using the {{key|Edit}} button of the dialog. You can also delete each node using the {{key|Delete}} key or insert a new node between the selected node and its next node using the {{key|Insert}} key. The new node is placed at the midpoint between the selected node and the node having the next ID number.   PYTHON COMMAND: nurbs_strip(label,(x0,y0,z0),(x1,y1,z1) ... )  <table><tr><td> [[Image:cad_surf10.png|thumb|left|480px|The property dialog of the NURBS strip object.]] </td></tr></table><table><tr><td> [[Image:NURBSstripSteps.png|thumb|left|550px|Drawing a NURBS strip.]] </td></tr></table> == Parabola Tool == ICON: [[File:parabola_tool_tn.png]]  MENU: '''Object → Curve → Parabola''' TO DRAW A PARABOLA: # Activate the '''Parabola Tool'''. # Left-click to set the Focal Point.# Drag away from the focal point and left-click a second time to set the desired Offset.# Drag and left-click a third time to complete the Parabolic Curve. NOTES, SPECIAL CASES OR EXCEPTIONS: The parameters '''Axial Length''' and '''Aperture''' adjust the size of the opening of the parabola. Changing the value of either one automatically adjusts the value of the other. Checking the box labeled '''Create Half''' bisects the parabola and removes its bottom half. You can revolve the resulting half-curve to create a paraboloid.  PYTHON COMMAND: parabola(label,x0,y0,z0,focal_length,axial_length,half_only)  PARABOLA PARAMETERS
{| class="wikitable"
|-
| local rotation about Z-axis
|-
! scope="row" | side_1focal_length
| real numeric
| project units
| -
|-
! scope="row" | side_2axial_length
| real numeric
| project units
| 0 -
| -
|-
! scope="row" | angleaperture
| real numeric
| degrees
| -
| wedge angleis determined automatically by focal and axial lengths or can be set independently|-! scope="row" | create_half| Boolean| -| FALSE| if TRUE, draws the left half onlyÂ
|}
<tr>
<td>
[[Image:cad_surf5cad_curve4.png|thumb|left|480px|The property dialog of the triangle strip parabola curve object.]]
</td>
</tr>
<tr>
<td>
[[Image:resize_triangle_strip_newresize_parabola_new.png|thumb|left|550px|The geometry of the triangle strip parabola curve object.]] </td></tr></table><table><tr><td> [[Image:23_parabola_tn_new.png|thumb|left|720px|Drawing a half-parabola.]]
</td>
</tr>
</table>
== Taper Strip Point Tool ==
ICON: [[File:taperstrip_tool_tnpoint_tool_tn.png]]
MENU: '''Object → Surface Special → Taper StripPoint'''
TO DRAW A TAPER STRIPPOINT:
# Activate the '''Taper Strip Point Tool'''. # Left-click to establish the base length midpoint.# Drag outward from this point to define the desired length and angle location of the base side. Left-click a second time to define the base.# To establish the height, drag the mouse away from the base to the desired location. Left-click a third time to complete the Taper Strippoint.
NOTES, SPECIAL CASES OR EXCEPTIONS: '''Taper Length''' establishes the distance between the base and top sides of the trapezoid. If the '''Exponential''' check box is checked, the two slanted sides of the trapezoid are replaced by exponential curves passing through the same vertices.
PYTHON COMMAND: point(label,x0,y0,z0)
PYTHON COMMAND: taper_strip(label,x0,y0,z0,base_width,top_width,length,is_expo)
POINT PARAMETERS
{| class="wikitable"
|-
! scope="col"| Parameter Name
! scope="col"| Value Type
! scope="col"| Units
! scope="col"| Default Value
! scope="col"| Notes
|-
! scope="row" | LCS_X
| real numeric
| project units
| -
| X-coordinate of point
|-
! scope="row" | LCS_Y
| real numeric
| project units
| -
| Y-coordinate of point
|-
! scope="row" | LCS_Z
| real numeric
| project units
| -
| Z-coordinate of point
|}
TAPER STRIP [[File:point_new.png]] == Polyline Tool == ICON: [[File:polyline_tool_tn.png]]  MENU: '''Object → Curve → Polyline''' TO DRAW A POLYLINE: # Activate the '''Polyline Tool'''. # Click anywhere on the active work plane to create nodes. The polyline's contour is rendered as soon as the second node is defined. A polyline must have at least two nodes.# Create as many nodes as you want. You can finish the drawing either by double-clicking on the last node or first creating the last node and pressing the keyboard's {{key|Enter}} key. # The polyline can be closed at any time using the keyboard shortcut {{key|C}}. This connects the last drawn node to the first. NOTES, SPECIAL CASES OR EXCEPTIONS: If a polyline object is originally drawn as an open curve, you can turn it into a closed one by placing a check mark in the box labeled '''Close Curve'''. The property dialog of a polyline object lists the individual nodes and their coordinates ordered by the node ID. You can select and highlight each node and change its coordinates using the {{key|Edit}} button of the dialog. You can also delete each node using the {{key|Delete}} key or insert a new node between the selected node and its next node using the {{key|Insert}} key. The new node is placed at the midpoint between the selected node and the node having the next ID number.   PYTHON COMMAND: polyline(label,(x0,y0,z0),(x1,y1,z1) ... )  <table><tr><td> [[Image:cad_curve8.png|thumb|left|480px|The property dialog of the polyline object.]] </td></tr></table><table><tr><td> [[Image:19_polyline_tn_new.png|thumb|left|550px|Drawing a polyline.]] </td></tr></table> == Polystrip Tool == ICON: [[File:polystrip_tool_tn.png|Polystrip Tool]]  MENU: '''Object → Surface → Polystrip''' TO DRAW A POLYSTRIP: # Activate the '''Polystrip Tool'''. # Click anywhere on the active work plane to create nodes. The polystrip's contour is rendered as soon as the third node is defined. A Polystrip must have at least three nodes.# Create as many nodes as you want. You can finish the drawing either by double-clicking on the last node or first creating the last node and pressing the keyboard's {{key|Enter}} key.  NOTES, SPECIAL CASES OR EXCEPTIONS: The property dialog of a polystrip object lists the individual nodes and their coordinates ordered by the node ID. You can select and highlight each node and change its coordinates using the {{key|Edit}} button of the dialog. You can also delete each node using the {{key|Delete}} key or insert a new node between the selected node and its next node using the {{key|Insert}} key. The new node is placed at the midpoint between the selected node and the node having the next ID number.   PYTHON COMMAND: polystrip(label,(x0,y0,z0),(x1,y1,z1) ... )  <table><tr><td> [[Image:cad_surf9.png|thumb|left|480px|The property dialog of the polystrip object.]] </td></tr></table><table><tr><td> [[Image:polystripsteps.png|thumb|left|550px|Drawing a polystrip.]] </td></tr></table> == Pyramid Tool == ICON: [[File:pyramid_tool_tn.png]]  MENU: '''Object → Solid → Pyramid''' TO DRAW A PYRAMID: # Activate the '''Pyramid Tool'''.# Left-click to establish the first point of the rectangular base plane.# Define the desired area of the base plane by dragging the mouse away from the first point. Left-click a second time to establish the base plane.# Drag the mouse away from the base plane to establish the desired height. Left-click a third time to complete the pyramid.  PYTHON COMMAND: pyramid(label,x0,y0,z0,base_x,base_y,height[,top_x,top_y,cap_top,cap_bottom])  PYRAMID PARAMETERS
{| class="wikitable"
|-
| local rotation about Z-axis
|-
! scope="row" | base_widthbase_size_X
| real numeric
| project units
| -
|-
! scope="row" | taper_lengthbase_size_Y
| real numeric
| project units
| -
|-
! scope="row" | top_widthtop_size_X| real numeric| project units | 0 | -|-! scope="row" | top_size_Y| real numeric| project units | 0 | -|-! scope="row" | height
| real numeric
| project units
| -
|-
! scope="row" | top_offsettop_offset_X
| real numeric
| project units
| 0| A zero value creates an isosceles triangle-
|-
! scope="row" | exponentialtop_offset_Y| real numeric| project units | 0 | -|-! scope="row" | fix_center_X
| Boolean
| -
| FALSETRUE | creates an exponential taper transitionfixes X-coordinate of base
|-
! scope="row" | create-halffix_center_Y
| Boolean
| -
| FALSETRUE | keeps left half fixes Y-coordinate of taper strip only base|-! scope="row" | cap_top| Boolean| -| TRUE | places a cap at top|-! scope="row" | cap_bottom| Boolean| -| TRUE | places a cap at bottom base
|}
<tr>
<td>
[[Image:cad_surf6cad_solid4.png|thumb|left|480px|The property dialog of the taper strip pyramid object.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:Resize_taper_strip_newresize_pyramid_new.png|thumb|left|550px|The geometry of the taper strip pyramid object with exponential side walls.]]
</td>
</tr>
<tr>
<td>
[[Image:14b_taper_strip_tn_newCad_solid4_2nd.png|thumb|left|480px|The property dialog of the pyramid with nonzero top dimensions.]] </td></tr><tr><td> [[Image:04b_pyramid_tn_newA.png|thumb|left|550px|A taper strip pyramid with nonzero top dimensions.]] </td></tr><tr><td> [[Image:Cad_solid4_3rd.png|thumb|left|480px|The property dialog of the pyramid with nonzero top offset values.]] </td></tr><tr><td> [[Image:04b_pyramid_tn_newB.png|thumb|left|720px|A pyramid with linear side walls and a nonzero top offsetvalues.]]
</td>
</tr>
</table>
== Regular Polygon Radial Strip Tool ==
ICON: [[File:polygonstrip_tool_tnradialstrip_tool_tn.png]]
MENU: '''Object → Surface → Regular PolygonRadial Strip'''
TO DRAW A REGULAR POLYGONRADIAL STRIP:
# Activate the '''Regular Polygon Radial Strip Tool'''. # Left-click to create establish the origin of the Regular Polygonpoint.# Drag the mouse away from the origin and left-click a second time to define establish the Regular Polygon's diameterradius and the first leg of the radial strip.# Drag the mouse to increase or decrease the number of sides desiredlocation to define the angle of the radial strip. Left-click a third time to finish drawing complete the Regular Polygonradial strip.
NOTES, SPECIAL CASES OR EXCEPTIONS: This tool creates a regular polygon with an arbitrary number of sides within a circumscribing circle of a specified radius.
PYTHON COMMAND: radial_strip(label,x0,y0,z0,radius,base_lenght,angle)
PYTHON COMMAND: polygon_reg(label,x0,y0,z0,radius,n_sides)
 REGULAR POLYGON RADIAL STRIP PARAMETERS
{| class="wikitable"
|-
| project units
| -
| radius of circumscribing circle
|-
! scope="row" | side_count
| integer numeric
| -
| -
| number of side of regular polygon
|-
! scope="row" | top_widthbase_length
| real numeric
| project units
| 0 | A nonzero value creates a flattened base| - ! scope="row" | angle| real numeric| degrees
| -
| wedge angle
|}
<tr>
<td>
[[Image:cad_surf7cad_surf3.png|thumb|left|480px|The property dialog of the regular polygon radial strip object.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:resize_polygon_strip_newresize_radial_strip_new.png|thumb|left|550px|The geometry of the regular polygon radial strip object.]] </td></tr><tr><td> [[Image:cad_surf3_2nd.png|thumb|left|480px|The property dialog of the radial strip object with a nonzero base length.]] </td></tr><tr><td> [[Image:10b_radial_strip_tn_new.png|thumb|left|550px|A radial strip object with N = 8 (octagon)a nonzero base length.]]
</td>
</tr>
</table>
== Spiral Rectangle Strip Tool ==
ICON: [[File:spiralstrip_tool_tnrectstrip_tool_tn.png]]
MENU: '''Object → Surface → Spiral Rectangle Strip'''
TO DRAW A SPIRAL RECTANGLE STRIP:
# Activate the '''Spiral Rectangle Strip Tool'''. # Left-click to establish the origin of the Spiral Strip's inner-radius.# Drag away from the origin to expand the inner radius. Left-click a second time to set the inner radius and create the starting X/Y axial triangulation point for the outer radius.# Drag the mouse away outward from the second this point to expand define the outer radius (or closer to contract desired area of the radius)rectangle strip. Left-click a third second time to complete the spiralshape.
NOTES, SPECIAL CASES OR EXCEPTIONS: Checking the '''Inner Taper''' box creates a rounded taper at the inner edge of each spiral arm by drawing an exponential curve from a user-defined edge inset point to that edge's opposite corner vertex. Checking the '''Outer Taper''' box creates a rounded taper at the outer edge of each spiral arm by drawing an exponential curve from a user-defined edge inset point to that edge's opposite corner vertex.. '''Inset Distance''' establishes an imaginary offset point positioned away from the corner vertex from the inner or outer edge. The '''Inner Radius''' setting is not available when the '''Dual Arm''' option is enabled.
PYTHON COMMAND: rect_strip(label,x0,y0,z0,side_x,side_y)
PYTHON COMMAND: spiral_strip(label,x0,y0,z0,width,radius_inner,radius_outer,n_turns,spiral_dir,is_dual)
 SPIRAL RECTANGLE STRIP PARAMETERS
{| class="wikitable"
|-
| local rotation about Z-axis
|-
! scope="row" | inner_radiusside_X
| real numeric
| project units
| -
| dimension along X-axis
|-
! scope="row" | outer_radiusside_Y
| real numeric
| project units
| -
| dimension along Y-axis
|-
! scope="row" | strip_width| real numeric| project units | - | -|-! scope="row" | turns| integer numeric| project units | 2| number of spiral turns|-! scope="row" | ccwfix_center_X
| Boolean
| -
| TRUE| if TRUE, creates counterclockwise rightfixes X-handedness coordinate of base
|-
! scope="row" | dual_armfix_center_Y
| Boolean
| -
| FALSETRUE | creates a dualfixes Y-arm spiralcoordinate of base
|-
! scope="row" | inner_taperrect_loop
| Boolean
| -
| FALSE
| if TRUE, tapers spiral strip from inner endcreates a rectangular loop
|-
! scope="row" | inner_insetloop_width
| real numeric
| project units
| 0| when inner_taper is TRUE, a nonzero value creates inner inset|-! scope="row" | outer_taper| Boolean
| -
| FALSE
| if TRUE, tapers spiral strip from outer end
|-
! scope="row" | outer_inset
| real numeric
| project units
| 0
| when outer_taper is TRUE, a nonzero value creates outer inset
|-
! scope="row" | taper_pointing
| list: {inward, outward}
| -
| inward
| sets the direction spiral's end tapers point to
|}
<tr>
<td>
[[Image:cad_surf8cad_surf1.png|thumb|left|480px|The property dialog of the spiral rectangle strip object.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:resize_spiral_strip_newresize_rectangular_strip_new.png|thumb|left|550px|The geometry of the spiral rectangle strip object.]]
</td>
</tr>
<tr>
<td>
[[Image:12c_spiral_strip_tn_newcad_surf1_2nd.png|thumb|left|550px480px|A dual-arm spiral strip The property dialog of the rectangle loop objectwith a nonzero loop width.]]
</td>
</tr>
</table>
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== Polystrip Tool ==
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ICON: [[File:polystrip_tool_tn.png|Polystrip Tool]]
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MENU: '''Object → Surface → Polystrip'''
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TO DRAW A POLYSTRIP:
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# Activate the '''Polystrip Tool'''.
# Click anywhere on the active work plane to create nodes. The polystrip's contour is rendered as soon as the third node is defined. A Polystrip must have at least three nodes.
# Create as many nodes as you want. You can finish the drawing either by double-clicking on the last node or first creating the last node and pressing the keyboard's {{key|Enter}} key.
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NOTES, SPECIAL CASES OR EXCEPTIONS: The property dialog of a polystrip object lists the individual nodes and their coordinates ordered by the node ID. You can select and highlight each node and change its coordinates using the {{key|Edit}} button of the dialog. You can also delete each node using the {{key|Delete}} key or insert a new node between the selected node and its next node using the {{key|Insert}} key. The new node is placed at the midpoint between the selected node and the node having the next ID number.
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PYTHON COMMAND: polystrip(label,(x0,y0,z0),(x1,y1,z1) ... )
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<table>
<tr>
<td>
[[Image:cad_surf9resize_rectangular_strip_new1.png|thumb|left|480px550px|The property dialog of the polystrip A rectangular loop objectwith a nonzero loop width.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:19 polyline tn newlock_base_tn.pngjpg|thumb|left|550px|Drawing Locking the base of a polystriprectangle strip.]]
</td>
</tr>
</table>
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== NURBS Strip Tool ==
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ICON: [[File:nurbsstrip_tool_tn.png]]
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MENU: '''Object → Surface → NURBS Strip'''
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TO DRAW A NURBS STRIP:
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# Activate the '''NURBS Strip Tool'''.
# Click anywhere on the active work plane to create nodes. The contour of the NURBS strip is rendered as soon as the third node is defined. A NURBS Strip must have at least three nodes.
# Create as many nodes as you want. You can finish the drawing either by double-clicking on the last node or first creating the last node and pressing the keyboard's {{key|Enter}} key.
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NOTES, SPECIAL CASES OR EXCEPTIONS: The property dialog of a NURBS strip object lists the individual nodes and their coordinates ordered by the node ID. You can select and highlight each node and change its coordinates using the {{key|Edit}} button of the dialog. You can also delete each node using the {{key|Delete}} key or insert a new node between the selected node and its next node using the {{key|Insert}} key. The new node is placed at the midpoint between the selected node and the node having the next ID number.
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PYTHON COMMAND: nurbs_strip(label,(x0,y0,z0),(x1,y1,z1) ... )
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<table>
<tr>
<td>
[[Image:cad_surf10draw_modes_tn.pngjpg|thumb|left|480px550px|The property dialog different drawing modes of the NURBS strip object.]] </td></tr></table><table><tr><td> [[Image:20_Nurbs_tn_new.png|thumb|left|550px|Drawing a NURBS rectangle strip.]]
</td>
</tr>
</table>
== Surface Generator Regular Polygon Tool ==
Besides [[EM.Cube]]'s standard planar objects, i.e. rectangle strip, circle strip, radial strip, ellipse strip, triangle strip, taper strip, regular polygon, spiral strip, polystrip and NURBS strip, you can use '''Surface Generator''' ICON: [[File:surf_gen_tool_tnpolygonstrip_tool_tn.png]] to create a large variety of other surface objects. Practically, any imaginable planar or non-planar surface can be synthesized in [[EM.Cube]]. These include:
<table><tr><td>[[ImageMENU:surf2a_tn_new.png|thumb|left|640px|The curve generator.]]</td></tr></table>'''Object → Surface → Regular Polygon'''
TO DRAW A mathematical surface defined by z = sin(2*x)*exp(-y/2)REGULAR POLYGON: (left) polymesh version, (right) smooth generic surface version.
# Click Activate the '''Surface GeneratorRegular Polygon Tool'''[[File:surf_gen_tool_tn.png]] button of the '''Object Toolbar''' to open the Curve Generator Dialog.# From Left-click to create the '''Model''' dropdown list, select the '''Custom Function''', which is the default option. Also specify the '''Orientation''' origin of the surface, which is the XY principal plane by defaultRegular Polygon.# Specify Drag away from the range of origin and left-click a second time to define the surface including Regular Polygon'''Start''', '''Stop''' and '''Step''' values along the two specified dimensionss diameter.# In Drag the "Parameters" section, define the function representing the surface. This has the form z = f(x,y) in XY Plane, x = f(y,z) in YZ Plane mouse to increase or y = f(z,x) in ZX Plane.# As in decrease the previous case, you can choose between the two '''Polymesh''' or '''Generic Surface''' optionsnumber of sides desired. You can also preview Left-click a third time to finish drawing the curve before finalizing its creationRegular Polygon.
<table><tr><td>[[ImageNOTES, SPECIAL CASES OR EXCEPTIONS:cad_surf11This tool creates a regular polygon with an arbitrary number of sides within a circumscribing circle of a specified radius.png|thumb|left|480px|The surface generator dialog.]]</td></tr></table>
== Line Tool ==
ICONPYTHON COMMAND: [[File:line_tool_tn.png]] polygon_reg(label,x0,y0,z0,radius,n_sides)
MENU: '''Object → Curve → Line'''
TO DRAW A LINE: # Activate the '''Line Tool'''. # left click anywhere on the workplane to begin drawing the line.# left-click a second time to complete the line. NOTES, SPECIAL CASES OR EXCEPTIONS: When the check box '''Lock Center''' is checked, changing the line's length expands or shrinks it equally from both ends. To create a line perpendicular to the current work plane, hold down the {{key|Alt}} key while dragging the mouse to establish the line's end point.  PYTHON COMMAND: line(label,x0,y0,z0,len[,dir])  LINE REGULAR POLYGON PARAMETERS
{| class="wikitable"
|-
| local rotation about Z-axis
|-
! scope="row" | lengthradius
| real numeric
| project units
| -
| radius of circumscribing circle
|-
! scope="row" | side_count
| integer numeric
| -
| -
| number of side of regular polygon
|-
! scope="row" | fix_centertop_width| Booleanreal numeric| project units | -
| -
| FALSE
| fixes midpoint coordinates
|}
<tr>
<td>
[[Image:cad_curve1cad_surf7.png|thumb|left|480px|The property dialog of the line regular polygon object.]]
</td>
</tr>
<tr>
<td>
[[Image:vert_line_newresize_polygon_strip_new.png|thumb|left|550px|Drawing a vertical line The geometry of the regular polygon objectwith N = 8 (octagon).]]
</td>
</tr>
</table>
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== Solid Generator ==
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ICON: [[File:solid_gen_tool_tn.png]]
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MENU: '''Object → Solid → Solid Generator'''
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TO DRAW A PLATONIC SOLID:
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# Activate the '''Solid Generator Tool'''.
# In the solid generator dialog, select one of the five platonic solid types '''Tetrahedron''', '''Hexahedron''' '''Octahedron''', '''Dodecahedron''', or '''Icosahedron'''.
# The dialog shows the number of faces, edges, nodes and the side length of the standard platonic solid of the selected type.
# Specify the value of the '''Scale''' parameter based on the displayed '''Side Length'''.
# Before you create the solid and add its name to the navigation tree, you have an opportunity to preview it. To do so, click the {{key|Preview}} button of the dialog. A yellow ghost of the solid appears in the project workspace. You can change the scale and resize the solid. Once you are satisfied with the generated solid, click the {{key|Create}} button to finalize its creation.
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NOTES, SPECIAL CASES OR EXCEPTIONS: All the solid objects generated by the solid generator are of polymesh type.
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PYTHON COMMAND: None
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PLATONIC SOLID PROPERTIES
{| class="wikitable"
|-
! scope="col"| Solid Type
! scope="col"| No. of Faces
! scope="col"| No. of Edges
! scope="col"| No. of Vertices
! scope="col"| Side Length
! scope="col"| Geometry
|-
! scope="row" | Tetrahedron
| 4
| 6
| 4
| 2
| [[Image:CAD MAN23.png|thumb|left|150px]]
|-
! scope="row" | Tessellated Hexahedron
| 12
| 12
| 8
| 2
| [[Image:CAD MAN24.png|thumb|left|150px]]
|-
! scope="row" | Octahedron
| 8
| 12
| 6
| √2
| [[Image:CAD MAN25.png|thumb|left|150px]]
|-
! scope="row" | Tessellated Dodecahedron
| 36
| 30
| 20
| √5 - 1
| [[Image:CAD MAN26.png|thumb|left|150px]]
|-
! scope="row" | Icosahedron
| 20
| 30
| 12
| 2
| [[Image:CAD MAN27.png|thumb|left|150px]]
|}
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<table>
<tr>
<td>
[[Image:18_Line_tn_newcad_solid8.png|thumb|left|550px480px|Drawing a horizontal line objectThe solid generator dialog.]]
</td>
</tr>
</table>
== Circle Sphere Tool ==
ICON: [[File:circle_tool_tnsphere_tool_tn.png]]
MENU: '''Object → Curve Solid → CircleSphere'''
TO DRAW A CIRCLESPHERE:
# Activate the '''Circle Sphere Tool'''. # Left-click at the desired location on the active grid to establish the originpoint.# Drag your the mouse away outward from the origin to set establish the desired radius.# Left -click a second time to complete the circlesphere.
PYTHON COMMAND: circlesphere(label,x0,y0,z0,radius[,start_angle,end_angle])
CIRCLE SPHERE PARAMETERS
{| class="wikitable"
|-
| real numeric
| degrees
| 0
| start azimuth angle
|-
| real numeric
| degrees
| 360
| end azimuth angle
|}
<tr>
<td>
[[Image:cad_curve2cad_solid5.png|thumb|left|480px|The property dialog of the circle sphere object.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:resize_circle_newresize_sphere_new.png|thumb|left|550px|The geometry of the circle sphere object.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:21_circle_tn_newAcad_solid5_2nd.png|thumb|left|400px480px|The local coordinate system (LCS) property dialog of the circle objectsphere with a nonzero start and end angles.]]
</td>
</tr>
<tr>
<td>
[[Image:21_circle_tn_newB05b_sphere_tn_new.png|thumb|left|400px550px|A circle sphere with a nonzero start and end angleangles.]]
</td>
</tr>
</table>
== Super-Quadratic Spiral Curve Tool ==
ICON: [[File:superquad_tool_tnspiral_tool_tn.png]]
MENU: '''Object → Curve → Super-quadratic CurveSpiral'''
TO DRAW A SUPER-QUADRATIC SPIRAL CURVE:
# Activate the '''Super-Quadratic Spiral Curve Tool'''. # Left-click to establish the initial X/Y diameter triangulation inner-radial origin of the Spiral.# Drag away from the origin to expands the inner radius (drag inward toward the origin to reduces the inner radius).# Left-click a second time to set the inner radius and create the anchor pointfor the outer radius.# Drag the mouse away from this the second point to define expand the desired sizeouter radius or closer to reduce the radius.# Left-click a second third time to complete the superquadspiral.
NOTES, SPECIAL CASES OR EXCEPTIONS: The parameter '''Order''' changes the radius of the four corners of the super-quadratic curve. The second-order super-quadratic curve (n = 2) corresponds to an ellipse. Entering a higher value for the order decreases the corner radius and make the curve look like a rectangle with rounded corners. Checking the '''Rectangle''' box creates a rectangular curve with no corner rounding.
PYTHON COMMAND: spiral_curve(label,x0,y0,z0,radius_inner,radius_outer,nturns,spiral_dir,is_dual)
PYTHON COMMAND: superquad(label,x0,y0,z0,diam_x,diam_y,order)
 SUPER-QUADRATIC SPIRAL CURVE PARAMETERS
{| class="wikitable"
|-
| local rotation about Z-axis
|-
! scope="row" | diameter_Xinner_radius
| real numeric
| project units
| -
| diameter along X-axis
|-
! scope="row" | diameter_Youter_radius
| real numeric
| project units
| -
| diameter along Y-axis
|-
! scope="row" | orderturns
| integer numeric
| degreesproject units
| 2
| a higher order resembles a rectangle with rounded cornersnumber of spiral turns
|-
! scope="row" | is_rectangleccw
| Boolean
| -
| FALSETRUE| if TRUE, draws a rectanglecreates counterclockwise right-handedness
|-
! scope="row" | fix_center_Xdual_arm
| Boolean
| -
| TRUE FALSE| fixes Xcreates a dual-coordinate of base|-! scope="row" | fix_center_Y| Boolean| -| TRUE | fixes Y-coordinate of basearm spiral
|}
<tr>
<td>
[[Image:cad_curve3_newcad_curve6.png|thumb|left|480px|The property dialog of the super-quadratic spiral curve object.]]
</td>
</tr>
<tr>
<td>
[[Image:resize_superquadratic_newresize_sprial_new.png|thumb|left|550px|The geometry of the super-quadratic spiral curve object.]] </td></tr></table><table><tr><td> [[Image:22a_super_quad_tn_new.png|thumb|left|400px|The local coordinate system (LCS) of the super-quadratic curve object.]] </td></tr><tr><td> [[Image:22b_super_quad_tn_new.png|thumb|left|400px|Comparing super-quadratic curves of different orders.]]
</td>
</tr>
</table>
== Parabola Spiral Strip Tool ==
ICON: [[File:parabola_tool_tnspiralstrip_tool_tn.png]]
MENU: '''Object → Curve Surface → ParabolaSpiral Strip'''
TO DRAW A PARABOLASPIRAL STRIP:
# Activate the '''Parabola Spiral Strip Tool'''. # Left-click to set establish the Focal Pointorigin of the Spiral Strip's inner-radius.# Drag away from the focal point and leftorigin to expand the inner radius. Left-click a second time to set the desired Offsetinner radius and create the starting point for the outer radius.# Drag and leftthe mouse away from the second point to expand the outer radius (or closer to contract the radius). Left-click a third time to complete the Parabolic Curvespiral.
NOTES, SPECIAL CASES OR EXCEPTIONS: The parameters Checking the '''Axial LengthInner Taper''' and box creates a rounded taper at the inner edge of each spiral arm by drawing an exponential curve from a user-defined edge inset point to that edge's opposite corner vertex. Checking the ''Aperture'Outer Taper'' adjust ' box creates a rounded taper at the size outer edge of the opening of the parabolaeach spiral arm by drawing an exponential curve from a user-defined edge inset point to that edge's opposite corner vertex. Changing . '''Inset Distance''' establishes an imaginary offset point positioned away from the value of either one automatically adjusts corner vertex from the value of the otherinner or outer edge. Checking the box labeled The '''Create HalfInner Radius''' bisects setting is not available when the parabola and removes its bottom half. You can revolve the resulting half-curve to create a paraboloid'''Dual Arm''' option is enabled.
PYTHON COMMAND: parabolaspiral_strip(label,x0,y0,z0,focal_lengthwidth,axial_lengthradius_inner,half_onlyradius_outer,n_turns,spiral_dir,is_dual)
PARABOLA SPIRAL STRIP PARAMETERS
{| class="wikitable"
|-
| local rotation about Z-axis
|-
! scope="row" | focal_lengthinner_radius
| real numeric
| project units
| -
|-
! scope="row" | axial_lengthouter_radius
| real numeric
| project units
| -
|-
! scope="row" | aperturestrip_width
| real numeric
| degreesproject units | -
| -
| is determined automatically by focal and axial lengths or can be set independently
|-
! scope="row" | create_halfturns| integer numeric| project units | 2| number of spiral turns|-! scope="row" | ccw| Boolean| -| TRUE| if TRUE, creates counterclockwise right-handedness |-! scope="row" | dual_arm
| Boolean
| -
| FALSE
| creates a dual-arm spiral|-! scope="row" | inner_taper| Boolean| -| FALSE| if TRUE, draws the left half onlytapers spiral strip from inner end|-! scope="row" | inner_inset| real numeric| project units | 0| when inner_taper is TRUE, a nonzero value creates inner inset|-! scope="row" | outer_taper| Boolean| -| FALSE| if TRUE, tapers spiral strip from outer end|-! scope="row" | outer_inset| real numeric| project units | 0| when outer_taper is TRUE, a nonzero value creates outer inset|-! scope="row" | taper_pointing| list: {inward, outward}| -| inward| sets the direction spiral's end tapers point to
|}
<tr>
<td>
[[Image:cad_curve4cad_surf8.png|thumb|left|480px|The property dialog of the parabola curve spiral strip object.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:resize_parabola_newresize_spiral_strip_new.png|thumb|left|550px|The geometry of the parabola curve spiral strip object.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:23_parabola_tn_newcad_surf8_dual.png|thumb|left|550px480px|Drawing The property dialog of a halfdual-arm spiral strip object.]] </td></tr><tr><td> [[Image:12c_spiral_strip_tn_new.png|thumb|left|550px|A dual-parabolaarm spiral strip object.]]
</td>
</tr>
</table>
== Hyperbola Super-Quadratic Curve Tool ==
ICON: [[File:hyperbola_tool_tnsuperquad_tool_tn.png]]
MENU: '''Object → Curve → HyperbolaSuper-quadratic Curve'''
TO DRAW A HYPERBOLASUPER-QUADRATIC CURVE:
# Activate the '''Hyperbola Super-Quadratic Curve Tool'''. # Left-click to define establish the initial X-radius origin. Construction guides will appear to aid in the drawing process/Y diameter triangulation point.# Drag the mouse away from the origin this point to establish define the desired X-radiussize. # Left-click a second time.# To establish the Y-radius and the hyperbola's leg length, drag the mouse to the desired location and left-click to complete the Hyperbolasuperquad.
NOTES, SPECIAL CASES OR EXCEPTIONS: Checking the box labeled The parameter '''Neg. BranchOrder''' creates changes the opposite branch radius of the hyperbola four corners of the super-quadratic curve. The second-order super-quadratic curve (n = 2) corresponds to an ellipse. Entering a higher value for the order decreases the corner radius and make the curve look like a rectangle with rounded corners. Checking the box labeled '''Create HalfRectangle''' bisects the hyperbola and removes its bottom half. You can revolve the resulting curve to create box creates a hyperboloidrectangular curve with no corner rounding.
PYTHON COMMAND: hyperbolasuperquad(label,x0,y0,z0,diam_x,diam_y,axial_length,half_onlyorder)
HYPERBOLA SUPER-QUADRATIC CURVE PARAMETERS
{| class="wikitable"
|-
| diameter along Y-axis
|-
! scope="row" | axial_lengthorder| real integer numeric| project units degrees| - 2| -a higher order resembles a rectangle with rounded corners
|-
! scope="row" | create_halfis_rectangle
| Boolean
| -
| FALSE
| if TRUE, draws one half of one branch onlya rectangle
|-
! scope="row" | negative_branchfix_center_X| Boolean
| -
| FALSETRUE | fixes X-coordinate of base|-! scope="row" | fix_center_Y| Boolean| -| if TRUE, draws the negative branch only| fixes Y-coordinate of base
|}
<tr>
<td>
[[Image:cad_curve5cad_curve3_new.png|thumb|left|480px|The property dialog of the hyperbola super-quadratic curve object.]]
</td>
</tr>
<tr>
<td>
[[Image:24a_hyperbola_tn_newresize_superquadratic_new.png|thumb|left|550px|The geometry of the hyperbola super-quadratic curve object.]]
</td>
</tr>
<tr>
<td>
[[Image:24b_hyperbola_tn_new22b_super_quad_tn_new.png|thumb|left|550px400px|Drawing a halfComparing super-hyperbola or the negative branch quadratic curves of the hyperboladifferent orders.]]
</td>
</tr>
</table>
== Spiral Curve Tool Surface Generator ==
ICON: [[File:spiral_tool_tnsurf_gen_tool_tn.png]]
MENU: '''Object → Curve Surface → SpiralSurface Generator'''
TO DRAW A SPIRAL CURVEPARAMETRIC SURFACE:
# Activate the '''Spiral Curve Surface Generator Tool'''. # Left-click to establish the inner-radial origin location of the Spiralnew parametric surface. A default 2D sinusoidal surface appears in the project workspace.# Drag away from The surface generator dialog opens up on the origin to expands lower left corner of the inner radius screen. You have three options for '''Orientation''': XY, YZ or ZX planes. With the XY plane orientation, the parametric surface is expressed as z = f(drag inward toward x,y). With the origin to reduces YZ plane orientation, the inner radiusparametric surface is expressed as x = f(y,z). With the ZX plane orientation, the parametric surface is expressed as y = f(z,x). # Left-click a second time to set the inner radius Enter start, stop and create the anchor point step values for the outer radiusranges of both coordinate variables in the selected orientation plane. # Drag Enter a mathematical expression in terms of the mouse away from coordinate variables in the second point to expand selected orientation plane for the outer radius or closer to reduce definition of the radiusparametric surface.# Left-Make sure to click a third time the <b>OK</b> button of the dialog to complete the spiralsurface construction.
NOTES, SPECIAL CASES OR EXCEPTIONS: You can always edit and modify a parametric surface after you first create it in the surface generator. The property dialog of a parametric surface object is indeed the surface generator itself, where you can change the parameter values or the defining expression.
PYTHON COMMAND: spiral_curve(label,x0,y0,z0,radius_inner,radius_outer,nturns,spiral_dir,is_dual)
PYTHON COMMAND: param_surface(label,x0,y0,z0,orientation,start_1,stop_1,step_1,start_2,stop_2,step_2,function)
SPIRAL CURVE PARAMETRIC SURFACE PARAMETERS
{| class="wikitable"
|-
| project units
| -
| X-coordinates of base the surface
|-
! scope="row" | LCS_Y
| project units
| -
| Y-coordinates of base the surface
|-
! scope="row" | LCS_Z
| project units
| -
| Z-coordinates of base the surface
|-
! scope="row" | rot_X
| real numeric
| degrees
| - 0
| local rotation about X-axis
|-
| real numeric
| degrees
| - 0
| local rotation about Y-axis
|-
| real numeric
| degrees
| - 0
| local rotation about Z-axis
|-
! scope="row" | inner_radiusorientation| three options: XY, YZ or ZX| - | XY | the coordinate plane in which the parametric surface is drawn|-! scope="row" | start_1
| real numeric
| project units
| - 0 | -start value of range of the first coordinate variable
|-
! scope="row" | outer_radiusstop_1
| real numeric
| project units
| - 10 | -stop value of range of the first coordinate variable
|-
! scope="row" | turnsstep_1
| integer numeric
| project units
| 21| number step value of spiral turnsrange of the first coordinate variable
|-
! scope="row" | ccwstart_2| Booleanreal numeric| -project units | TRUE0 | if TRUE, creates counterclockwise right-handedness start value of range of the second coordinate variable
|-
! scope="row" | dual_armstop_2| Booleanreal numeric| project units | 10 | stop value of range of the second coordinate variable|-! scope="row" | step_2| integer numeric| project units | 1| step value of range of the second coordinate variable|-! scope="row" | expression| text string
| -
| FALSEsin(pi*x/5)*sin(pi*y/5)| creates a dual-arm spiralmathematical expression in two local coordinate variables
|}
<tr>
<td>
[[Image:cad_curve6Cad surf11 new.png|thumb|left|480px|The property surface generator dialog of the spiral curve object.]]
</td>
</tr>
<tr>
<td>
[[Image:resize_sprial_newCad surf12 new.png|thumb|left|550px|The geometry of default 2D sinusoidal surface created by the spiral curve objectsurface generator.]]
</td>
</tr>
</table>
== Helix Taper Strip Tool ==
ICON: [[File:helix_tool_tntaperstrip_tool_tn.png]]
MENU: '''Object → Curve Surface → HelixTaper Strip'''
TO DRAW A HELIXTAPER STRIP:
# Activate the '''Helix Taper Strip Tool'''. # Left-click to establish the origin of the inner-radiusbase length midpoint.# Drag away outward from the origin this point to expand define the inner radius, (toward it to contract desired length and angle of the inner radius)base side.# Left-click a second time to set define the inner radius and to base.# To establish the anchor point from which you will set the height of , drag the helix.# Drag your cursor "up" and mouse away from the second anchor point base to increase the height of the helixdesired location.# Left-click a third time to complete the helixTaper Strip.
NOTES, SPECIAL CASES OR EXCEPTIONS: You can define a helix curve with different values for '''Inner RadiusTaper Length''' establishes the distance between the base and '''Outer Radius''', which make top sides of the curve expanding or shrinkingtrapezoid. The If the '''HeightExponential''' parameter establishes check box is checked, the elevation two slanted sides of the end point of trapezoid are replaced by exponential curves passing through the helix with respect to start pointsame vertices.
PYTHON COMMAND: helixtaper_strip(label,x0,y0,z0,radius_innerbase_width,radius_outertop_width,heightlength,nturns,helix_diris_expo)
HELIX TAPER STRIP PARAMETERS
{| class="wikitable"
|-
| local rotation about Z-axis
|-
! scope="row" | inner_radiusbase_width
| real numeric
| project units
| same as outer radius -
| -
|-
! scope="row" | outer_radiustaper_length
| real numeric
| project units
| -
|-
! scope="row" | heighttop_width
| real numeric
| project units
| -
|-
! scope="row" | turnstop_offset| integer real numeric
| project units
| 20| number of spiral turnsA zero value creates an isosceles triangle
|-
! scope="row" | ccwexponential
| Boolean
| -
| TRUEFALSE| if TRUE, creates counterclockwise rightan exponential taper transition|-handedness ! scope="row" | create-half| Boolean| -| FALSE| keeps left half of taper strip only
|}
<tr>
<td>
[[Image:cad_curve7cad_surf6.png|thumb|left|480px|The property dialog of the helix curve taper strip object.]]
</td>
</tr>
<tr>
<td>
[[Image:resize_helix_newResize_taper_strip_new.png|thumb|left|550px|The geometry of the helix curve taper strip objectwith exponential side walls.]]
</td>
</tr>
</table>
<table>
<tr>
<td>
[[Image:26_helix_tn_new14b_taper_strip_tn_new.png|thumb|left|550px720px|The local coordinate system (LCS) of the helix curve objectA taper strip with linear side walls and a nonzero top offset.]]
</td>
</tr>
</table>
== Polyline Torus Tool ==
ICON: [[File:polyline_tool_tntorus_tool_tn.png]]
MENU: '''Object → Curve Solid → PolylineTorus'''
TO DRAW A POLYLINETORUS:
# Activate the '''Polyline Torus Tool'''. # Click anywhere on the active work plane Left-click to create nodes. The polyline's contour is rendered as soon as define the second node is defined. A polyline must have at least two nodescenter point.# Create as many nodes as you want. You can finish Drag the drawing either by double-clicking on mouse away from the last node or first creating the last node origin and pressing left-click a second time to establish the keyboard's {{key|Enter}} keyMajor Radius of the torus. # The polyline can be closed at any time using Drag the keyboard shortcut {{key|C}}. This connects mouse away from the last drawn node Major Radius construction path to establish the Minor Radius. Left-click a third time to complete the firsttorus.
NOTES, SPECIAL CASES OR EXCEPTIONS: If a polyline object is originally drawn as an open curve, you can turn it into a closed one by placing a check mark in the box labeled '''Close Curve'''.
The property dialog of a polyline object lists the individual nodes and their coordinates ordered by the node ID. You can select and highlight each node and change its coordinates using the {{key|Edit}} button of the dialog. You can also delete each node using the {{key|Delete}} key or insert a new node between the selected node and its next node using the {{key|Insert}} key. The new node is placed at the midpoint between the selected node and the node having the next ID number.
PYTHON COMMAND: torus(label,x0,y0,z0,radius_major,radius_minor[,start_angle,end_angle])
PYTHON COMMAND: polyline(label,(x0,y0,z0),(x1,y1,z1) ... )
 <table><tr><td> [[Image:cad_curve8.png|thumb|left|480px|The property dialog of the polyline object.]] </td></tr></table><table><tr><td> [[Image:19_polyline_tn_new.png|thumb|left|550px|Drawing a polyline.]] </td></tr></table> == NURBS Curve Tool == ICON: [[File:nurbs_tool_tn.png]]  MENU: '''Object → Curve → NURBS''' TO DRAW A NURBS CURVE: # Activate the '''NURBS Curve Tool'''. # Click anywhere on the active work plane to create nodes. The contour of the NURBS Curve is rendered as soon as the second node is defined. A NURBS Curve must have at least two nodes.# Create as many nodes as you want. You can finish the drawing either by double-clicking on the last node or first creating the last node and pressing the keyboard's {{key|Enter}} key. # The NURBS Curve can be closed at any time using the keyboard shortcut {{key|C}}. This connects the last drawn node to the first. NOTES, SPECIAL CASES OR EXCEPTIONS: If a NURBS Curve object is originally drawn as an open curve, you can turn it into a closed one by placing a check mark in the box labeled '''Close Curve'''. The property dialog of a NURBS Curve object lists the individual nodes and their coordinates ordered by the node ID. You can select and highlight each node and change its coordinates using the {{key|Edit}} button of the dialog. You can also delete each node using the {{key|Delete}} key or insert a new node between the selected node and its next node using the {{key|Insert}} key. The new node is placed at the midpoint between the selected node and the node having the next ID number.   PYTHON COMMAND: nurbs_curve(label,(x0,y0,z0),(x1,y1,z1) ... )  <table><tr><td> [[Image:cad_curve9_new.png|thumb|left|480px|The property dialog of the NURBS curve object.]] </td></tr></table><table><tr><td> [[Image:20_Nurbs_tn_new.png|thumb|left|550px|Drawing a NURBS curve.]] </td></tr></table> == Curve Generator == Besides [[EM.Cube]]'s standard curve objects, i.e. line, circle, super-quadratic curve, parabola, hyperbola, spiral curve and helix, you can use '''Curve Generator''' [[File:curve_gen_tool_tn.png]] to create a large variety of other curve objects. Practically, any imaginable curve can be synthesized in [[EM.Cube]]. These include: # Planar Cartesian curves represented by equation y = f(x).# Planar polar curves represented by equation r = f(?).# 3-D parametric curves represented by equations x = x(t), y = y(t), and z = z(t). Moreover, you can create planar curves on any of the three principal XY, YZ or ZX planes. # Click the '''Curve Generator'''[[File:curve_gen_tool_tn.png]] button of the '''Object Toolbar''' or select '''Menu [[File:larrow_tn.png]] Object [[File:larrow_tn.png]] Curve [[File:larrow_tn.png]] Curve Generator''' to open the Curve Generator Dialog.# Select one of the three curve types '''Cartesian''', '''Polar''' or '''Parametric'''. For the Cartesian type, also specify the '''Orientation''', which is the XY principal plane by default.# Specify the range of the curve. This includes '''Start''', '''Stop''' and '''Step''' values. For polar curves, the angles are expressed in radians.# In the "Parameters" section, define the function representing the curve. For the Cartesian type, this has the form y = f(x) in XY Plane, z = f(y) in YZ Plane or x = f(z) in ZX Plane. For polar curves, the function is defined as r = f(t), where t and r represent the angle and radius, respectively. For parametric curves, t is the parameter, and the x, y and z coordinates are all expressed as three functions of t.# Curve Generator offers two options for the curve to be generated: '''Polyline''' or '''NURBS Curve'''. The latter is the default option. Change '''Curve Type''' if you want to create a polyline.# Before you create the curve and add it to the Navigation Tree, you have an opportunity to preview it. To do so, click the '''Preview''' button of the dialog. A yellow ghost of the curve appears in the Project Workspace. You can change the range or modify the function at this time. Once you are satisfied with the generated curve, click the '''Create''' to finalize its creation and add it to the list of object on the Navigation Tree. [[File:cad_curve10.png]] == Point Tool == ICON: [[File:point_tool_tn.png]]  MENU: '''Object → Special → Point''' TO DRAW A POINT: # Activate the '''Point Tool'''. # Left-click to establish the location of the point.  PYTHON COMMAND: point(label,x0,y0,z0)  POINT TORUS PARAMETERS
{| class="wikitable"
|-
| project units
| -
| X-coordinate coordinates of pointbase
|-
! scope="row" | LCS_Y
| project units
| -
| Y-coordinate coordinates of pointbase
|-
! scope="row" | LCS_Z
| project units
| -
| Z-coordinate coordinates of pointbase |-! scope="row" | rot_X| real numeric| degrees | - | local rotation about X-axis|-! scope="row" | rot_Y| real numeric| degrees | - | local rotation about Y-axis|-! scope="row" | rot_Z| real numeric| degrees | - | local rotation about Z-axis|-! scope="row" | major_radius| real numeric| project units | - | -|-! scope="row" | minor_radius| real numeric| project units | - | -|-! scope="row" | start_angle| real numeric| degrees| 0 | start azimuth angle|-! scope="row" | end_angle| real numeric| degrees| 360 | end azimuth angle
|}
<table><tr><td> [[FileImage:point_newcad_solid4torus.png|thumb|left|480px|The property dialog of the torus object.]] </td></tr><tr><td> [[Image:resize_torus_new.png|thumb|left|550px|The geometry of the torus object.]] </td></tr><tr><td> [[Image:cad_solid4torus_2nd.png|thumb|left|480px|The property dialog of the torus with a nonzero start and end angle.]] </td></tr><tr><td> [[Image:07b_torus_tn_new.png|thumb|left|550px|A torus with a nonzero start and end angle.]]</td></tr></table>
== Fractal Tree Triangle Strip Tool ==
ICON: [[File:fractal_tool_tntrianglestrip_tool_tn.png]]
MENU: '''Object → Special Surface → Fractal TreeTriangle Strip'''
TO DRAW A FRACTAL TREETRIANGLE STRIP:
# Activate the '''Fractal Tree Triangle Strip Tool'''. # Left-click to establish the location of the fractal tree. A default horizontal fractal tree appears in the project workspacetriangles origin.# The fractal dialog opens up on Drag away from the lower right corner origin and left-click a second time to define Leg 1 of the screen. You have two options: fractal tree with linear or cylindrical branches. You can also set the number of fractal levelstriangle.# Make sure to Drag away from leg 1, left-click the OK button of the dialog a third time to define Leg 2 and complete the fractal constructiontriangle.
NOTES, SPECIAL CASES OR EXCEPTIONS: The parameter '''Gen. FactorSide 1''' determines how many new next-level branches are generated at establish the end length of first leg of each branchthe triangle. '''Separation AngleSide 2''' sets establishes the angle between each pair length of branches at each node. The '''Prune Factor''' determines what percentage the second leg of branches are removed randomly at each node. With a default zero prune factor, all the branches are kept. The parameter triangle '''ThicknessAngle''' represents defines the diameter opening angle of the main branch in origin vertex (the case of a cylinder key objectangle between leg one and leg two). The parameter '''Thickness Factor''' determines Hold down the tapering {{key|Shift}} key while positioning the third point of each cylindrical branch from its start point the triangle to constrain the end point. A zero thickness factor means no branch taperingorigin angle to 15º increments.
You can change the coordinates of the LCS of a fractal tree or its rotation angle. From the fractal dialog, you can also access the properties of the key object by clicking the {{key|Edit Primitive...}} button of this dialog.
{{Note|Fractal tree operations are usually very time consuming especially when the key object type is a cylinder. Please be patient while [[EM.Cube]] is running fractal tree creation or edit operations.}}PYTHON COMMAND: triangle_strip(label,x0,y0,z0,side1,side2,angle)
PYTHON COMMAND: fractal_tree(label,x0,y0,z0,key_type,key_size,n_level,sep_angle,n_gen,prune_factor,thickness,thick_factor)Â Â FRACTAL TREE TRIANGLE STRIP PARAMETERS
{| class="wikitable"
|-
| local rotation about Z-axis
|-
! scope="row" | key_object_type| Line or Cylinder| - | Line | -|-! scope="row" | level_count| integer numeric| -| 3| number of fractal levels|-! scope="row" | separation_angleside_1
| real numeric
| degrees| 30| angle between two adjacent branchesproject units |-! scope="row" | generation_factor| integer numeric
| -
| 3
| Number of new branches generated at each node
|-
! scope="row" | prune_factorside_2
| real numeric
| project units
| 0
| -
| 0
| A number between 0 and 1 representing the percentage of branches randomly deleted
|-
! scope="row" | thickness| real numeric| project units| 1| diameter of branches |-! scope="row" | thickness_factorangle
| real numeric
| degrees
| -
| 0.2| A number between 0 and 1 representing the percentage of tapering of each cylindrical branch upwardwedge angle
|}
<tr>
<td>
[[Image:CAD MAN20cad_surf5.png|thumb|left|480px|The fractal tree property dialogof the triangle strip object.]]
</td>
</tr>
<tr>
<td>
[[Image:CAD MAN21resize_triangle_strip_new.png|thumb|left|550px|The geometry of a fractal tree with a line key object.]] </td></tr></table><table><tr><td> [[Image:CAD MAN22.png|thumb|left|550px|The geometry of a fractal tree with a cylinder key the triangle strip object.]]
</td>
</tr>
</table>
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