Using CAD Description format surfaces## CAD-functions for surfaces:

## A planar Surf. (Trim / punch)

Planar surface; unperforated or perforated Input: boundary [islands ...] The curves used for boundary and islands must be closed; use circle, ellipse, closed B-Spline, closed polygon or closed CCV. Output: A = boundary curve [islands ...] # Example circular surface: C20=P(0 0 0) 10 A20=C20 # Example Planar surface: P20 = P (-120 -160) # The boundary curve: S20 = CCV P20 P (233 -186) P (223 -95) P (104 -81) P (135134) P (-122 162) P20 # The planar surface: A20 = S20 # Example: outer edge C29, island C28. C29 = P (-252.2 -580.9 0) VAL (12) C28 = P (-255.9 -606.8 0) VAL (66) A20 = C28 C29## A spheric.Surf (Axis, wheel) SPH

Spherical surface Format: A = SPH axis radius [drehWinkel1 drehWinkel2 [HoeheWinkel1 HoeheWinkel2]] Axis: The main axis of the ball Radius: KeyIn radius or sel point. rotAngle1 KeyIn angle (Def = 0) or sel. point. rotAngle2 KeyIn angle (Def = 360) or sel. point. tiltAngle1 KeyIn angle (Def = 0) or sel. point. tiltAngle2 KeyIn angle (Def = 180) or sel. point. # Example: P20 = P (68 68.9 0) A21 = R SPH (P20) 12## A cylindr.Surf (Axis, radius) CYL

Cylindrical surface Format: A = CYL axis radius rotAngle1 rotAngle2 height1 height2 Axis: The main axis of the cylinder; line, vector or plane (z-axis). Radius: KeyIn radius or sel point. rotAngle1 KeyIn launch angle (Def = 0) or sel point. rotAngle2 KeyIn End piece (Def = 360) or sel point. height1 KeyIn elevation (from Achsstartpunkt; Def = 0) or sel point. height2 KeyIn elevation (from Achsstartpunkt) or sel point. # Examples: L1=P(0 0) P(100 0) A1=CYL L1 12 0 360 0 30 R2=PERP P(105 129.2 0) D(1 1 1) A2=CYL R2 12 0 180 0 30## A Revolved S. (Axis Contour) SRV

Revolved-Surface Rotate contour-object around axis Contour is roughly paralllel to the axis (normal: Sweep-surface) Format: A = SRV axis contour [Start1 End1 [Start2 End2][CW]] Axis Line or Plane or PT+PT or PT+LN or PT+VC Circle: axis from centerpoint and normalvector Contour line (cone), circle (torus) or B-Spline. Start1 Startpoint revolved-surface: angle (Def = 0) or point. End1 Endpoint revolved-surface: angle (Def = 360) or point. Start2 Startpoint contour: parameter (Def = 0) or point. End2 Endpoint contour: parameter (Def = 1) or point. CW sense of rotaion of revolved-surface: def =CCW (counterclockwise); CW is clockwise. Examples: # cone: L20 = P (20 0) P (20 20) L21 = P (50 0) P (40 20) A20 = SRV L20 L21 270 0 # torus: P20=P(-30 -10 0) P22=P20 X(100) C20=P22 20 DY P23=P20 Y(100) P24=P20 Y(-100) A20=SRV L(P20 DZ) C20 P22 P23 #CW## A Extrusion Surf (Contour Vec) SRU

Extrusion surface from basic element and vector: Basic Element: LN / AC / CV Vector: vector or PT-PT or LN .. # Example: L30 = P (0 -10 20) P (0 10 20) D30 = D (10 10 60) A30 = SRU L30 D30## A Sweep Surf (Contour Path) SWP

Surface from path (spine) and contour; eg pipe from moving a circle (contour) along a line (path). The contour always is on a plane normal to the path. With heavy curvature of the spinecurve overcuts are possible. Contour: circle, ellipse, polygon. Path: line, circle, ellipse, spline. # Example: P20=P(30, -4280, 0) P21=P20 Z(2000) L20=P20 P21 P23=P(900 -3177 0) S21=ELL P20 P23 P(-142 -3537 0) S20=POL P20 P(645 -5272 0) P23 P20 A20=SWP S20 L20 A21=SWP S21 L20## A Loft Surf (Curves across) BSP

Free-form area from cross section curves. Curves across [BSP] Select (at least 2) cross section curves The first and the last curve are the boundaries. Curves can be lines, circles or b-spline-curves. The first and/or last inputobject may be a point. Continue with tab-key. Finish with Enter-key. With the function "S BSpline < join obj's" you can join pieces to one connected cross-section-curve. # Example: L20=P(-100 60 0) P(-100 30 0) L21=P(-50 60 0) P(-60 80 0) C20=ARC1 P(-20 100 0) P(0 90 10) P(20 80 0) P20=P(-130 40 0) P21=P(30 120 0) # A20=BSP U(P20 L20) A21=BSP U(L20 L21) A22=BSP U(L21 C20) A23=BSP U(P21 C20) Example models: Sample_area_bsp0 Sample_area_bsp4 Sample_area_bsp6## A Loft Surf (Curves along/across) BSP

Free-form area of horizontal and vertical sectioncurves. The first and the last curve are the boundaries. All length-wise and cross-wise curves must be a network. Inputcurves can be points, lines, circles, polygons, b-spline-curves. (currently not CCV-composite curves). If the horizontal sectioncurves meet in a point, this point can be selected as first or last vertical curve. Curves along [BSP] Selectieren (at least 2) length-wise curves Continue with tab-key. Curves across [BSP] Select (at least 2) cross-wise curves Continue with tab-key. Finish with Enter-key. Example (2 curves along; (Spline S20, Line L20); 3 curves across (Point L20, Line L21); The curves-along form a tip in point P20. Die Längskurven bilden im Punkt L20 eine Spitze. P20=P(-56 -18 0) P21=P(25 4 0) P23=P21 Z(4) L20=P20 P23 L21=P21 P23 S20=BSP P20 P(-30 -20 0) P(1 -11 0) P21 A20=BSP U(S20 L20) U(P20 L21) Sample models: Sample_area_bsp3 (5 x 4 curves) Sample_area_bsp5 (2 x 1 edge curves) Sample_area_bsp7 (2 x 2 boundary curves)## A trimmed supported punched FSUB

Space at Support area limited, perforated or unperforated. Format: A = FSUB Support-area boundary-curve [islands ...] Support-area: Spherical, cylindrical, revolved, Extrusion or loft surface or cone or torus; boundary-curve, Islands: circle, ellipse, Spline, polygon or contour (CCV). boundary-curve and islands must be closed. The boundary curve must be based on the Support area. If the outer contour of the support-area is identcal with the boundary-curve, then the name of the support-area can be used for the boundary-curve. A = FSUB A S support-area, trimmed A = FSUB A S S support-area, trimmed, 1 hole A = FSUB A A S S support-area, not trimmed, 2 holes A = FSUB B S cone or Torus, trimmed A = FSUB B S S trimmed, perforated A = FSUB B B S not trimmed, perforated Examples: # cone surface: P20 = P (100 0 0) P21 = P (200 0 0) P22 = P20 Y (120) P23 = P21 Y (60) P24 = P20 P22 ANG (135) DX P25 = P21 P23 ANG (135) dx C20 = ARC P23 P25 P21 dx C21 = ARC P22 P24 P20 dx # The body: B20 = CON C21 C20 # The boundary curve: S20 = CCV P23 P22 C21 P24 P25 C20 P23 # The cone surface: A20 = FSUB B20 S20 P26=P(250 -750 0) S21=REC P26 D(500 0 0) D(0 200 0) A21=S21 P27=P(510 -660 0) C22=P27 40 C23=P27 80 A22=FSUB A21 C23 C22## A Hatch / hatch HAT

Hatched surface Format: A # = HAT boundary-curve interval direction boundary-curve circle, ellipse, Spline, polygon or contour. boundary-curve must be closed. interval distance of the hatch lines direction angle of the hatch lines in degrees Example: P20 = P (-500 500) S21 = CCV P20 P (400900) P (400300) P20 A20 = HAT S21 VAL (50) VAL (45) Currently, no import / export function for hatching. Currently no function for perforated hatches.