Creating 3D Surfaces in .NET

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23 Creating 3D Surfaces
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Specify center point of sphere: 2 ,2 ,32-1/2 Specify radius of sphere or [Diameter]: d Specify diameter of sphere: 3 Enter number of longitudinal segments for surface of sphere <16>: 8 Enter number of latitudinal segments for surface of sphere <16>: 8
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11. Choose Cone from the Surfaces toolbar. Follow the prompts to make a plate. (It may not seem logical to use a cone to make a flat plate. It works because you can create a truncated cone upside down and very shallow. It s an unusual but interesting use for the CONE command.)
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Specify center point for base of cone: 1 ,1 Specify radius for base of cone or [Diameter]: 2 Specify radius for top of cone or [Diameter] <0>: 5 Specify height of cone: 1/2 Enter number of segments for surface of cone <16>:
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12. Choose SE Isometric View from the Viewpoints flyout of the Standard toolbar to get a view of what you have already drawn. 13. Choose Wedge from the Surfaces toolbar. Follow the prompts to make a wedge of cheese on the plate:
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Specify Specify Specify Specify Specify corner point of wedge: 10,10 length of wedge: 5 width of wedge: 2 height of wedge: 2 rotation angle of wedge about the Z axis: 30
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Choose Pyramid from the Surfaces toolbar. Follow the prompts to draw a pyramidal pepper shaker:
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Specify first corner point for base of pyramid: 2 6,2 6 Specify second corner point for base of pyramid: @1,0 Specify third corner point for base of pyramid: @0,1 Specify fourth corner point for base of pyramid or [Tetrahedron]: @-1,0 Specify apex point of pyramid or [Ridge/Top]: t Specify first corner point for top of pyramid: @1/4,1/4,3 Specify second corner point for top of pyramid: @-1/4,1/4,3 Specify third corner point for top of pyramid: @-1/4,-1/4,3 Specify fourth corner point for top of pyramid: @1/4,-1/4,3
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15. Choose View Hide. You can now visualize the drawing better. 16. Save your drawing. It should look like Figure 23-24. If you look carefully, you ll see that the edge of the cheese wedge goes through the plate slightly.
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Part IV Drawing in Three Dimensions
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Figure 23-24: The table with a plate, wedge of cheese, bowl, orange, and nonmatching salt and pepper shakers
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Drawing a Revolved Surface
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The REVSURF command takes an object that defines an outline or profile AutoCAD also calls it a path curve and revolves it around an axis, creating a 3D polygon mesh. Figure 23-25 shows two examples of revolved surfaces. The path curve must be one object a line, arc, circle, polyline, ellipse, or elliptical arc. It can be open, like the path curves shown in Figure 23-25, or closed. A closed path curve creates a model that is closed in the N direction.
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Figure 23-25: Two revolved surfaces
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23 Creating 3D Surfaces
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If you have several adjoining objects that you would like to use as one path curve, remember that you can use PEDIT to change lines and arcs to polylines and join them together. For more information, see 16.
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Determining the angle of rotation
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You can start the angle of rotation at any angle; it doesn t have to start on the plane of the path curve. You can rotate the path curve to any angle. Of course, rotating the path curve 360 degrees closes the model (in the M direction of the mesh). When you rotate the path curve less than 360 degrees, you need to know which way to rotate. You can specify a positive (counterclockwise) or negative (clockwise) angle. The point at which you pick the axis of rotation object affects the positive direction of rotation. Then you use the right-hand rule to determine which way the path curve will rotate around the axis. To do this, point your right thumb along the axis in the opposite direction from the endpoint closest to where you pick the axis. The direction in which your other fingers curl is the positive direction of rotation. Figure 23-26 shows the same model revolved in different directions. In the left model, the line of the axis was picked near the bottom endpoint. In the right model, the line of the axis was picked near the top endpoint.
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