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You can use 3DMESH to create 3D topological surfaces. You may have a surveyor s drawing marking measurement points. Open a new drawing, using the surveyor s drawing as an xref. In plan view, create a polygon mesh. For the vertices, pick the surveyor s measurement points. (You ll need to count them first to determine a regular grid for the M and N sizes.) Then select the polygon mesh to display its grip points. Select each grip in turn, and at the prompt, type (for example) @0,0,100.78 where the last coordinate is the measured height. When you are done, look at the surface in any nonplanar viewpoint to see the result.
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Drawing Standard 3D Shapes
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AutoCAD includes several AutoLISP routines that use the 3DMESH command to create some standard shapes. These shapes all have icons on the Surfaces toolbar. You can also choose Draw Surfaces 3D Surfaces to open the 3D Objects dialog box, as shown in Figure 23-14.
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Part IV Drawing in Three Dimensions
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Figure 23-14: The 3D Objects dialog box
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On the command line, you can type 3d and choose the shape you want to draw from the command options. You can also type ai_ followed by the name of the shape, such as ai_box.
Figure 23-15 shows a box from the SE isometric viewpoint after using the HIDE command.
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Figure 23-15: A box from an isometric viewpoint after using the HIDE command
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23 Creating 3D Surfaces
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Here s how to draw a box: 1. Choose Box from the Surfaces toolbar.
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2. At the Specify corner point of box: prompt, specify the lower-left corner of the base of the box. 3. At the Specify length of box: prompt, specify the length of the box along the X axis. 4. At the Specify width of box or [Cube]: prompt, specify the width of the box along the Y axis. If you choose the Cube option, AutoCAD creates a cube with a width and height the same as the length you just specified, and you don t see the height prompt. 5. At the Specify height of box: prompt, specify the height of the box along the Z axis. 6. At the Specify rotation angle of box about the Z axis or [Reference]: prompt, specify an angle. AutoCAD rotates the box in the XY plane. There is no default of zero (0) degrees, so you must type 0 even if you do not want to rotate the box. You can also use the Reference suboption, which works like the Reference option of the ROTATE command. As you define the box, AutoCAD draws a temporary image in yellow to show you the result of your specifications.
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Figure 23-16 shows a wedge. The prompts are the same as for the box, except that there is no Cube option. A wedge is half of a box.
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Figure 23-16: A wedge from an isometric viewpoint after the HIDE command
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Here s how to draw a wedge: 1. Choose Wedge from the Surfaces toolbar.
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2. At the Specify corner point of wedge: prompt, specify the lower-left corner of the base of the wedge. 3. At the Specify length of wedge: prompt, specify the length of the wedge along the X axis. 4. At the Specify width of wedge: prompt, specify the width of the wedge along the Y axis. 5. At the Specify height of wedge: prompt, specify the height of the wedge along the Z axis. 6. At the Specify rotation angle of wedge about the Z axis: prompt, specify an angle. AutoCAD rotates the wedge in the XY plane. There is no default of zero (0) degrees, so you must type 0 even if you do not want to rotate the wedge.
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Pyramid
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You can draw pyramids with three- and four-sided bases. A pyramid with a threesided base creates a four-sided object called a tetrahedron. You can top the pyramid with a point, a flat top, or for four-sided bases, a ridge. Figure 23-17 shows the various types of pyramids you can draw.
Figure 23-17: You can draw all these pyramidal shapes.
23 Creating 3D Surfaces
Here s how to draw the pyramids: 1. Choose Pyramid from the Surfaces toolbar.
2. At the Specify first corner point for base of pyramid: prompt, specify the first point (any point) on the base. 3. At the Specify second corner point for base of pyramid: prompt, specify the second point on the base. 4. At the Specify third corner point for base of pyramid: prompt, specify the third point on the base. 5. At the Specify fourth corner point for base of pyramid or [Tetrahedron]: prompt, specify the fourth point on the base or choose the Tetrahedron option (creates a pyramid with a base of three points). If you chose the Tetrahedron option, at the Specify apex point of tetrahedron or [Top]: prompt specify the apex (top point) or choose the Top option. AutoCAD prompts you for three top points. If you specified a fourth base point, at the Specify apex point of pyramid or [Ridge/Top]: prompt specify the apex (top point) or choose the Ridge or Top options. If you choose the Ridge option, specify the two points for the ridge. If you choose the Top option, specify the four top points. Specifying the apex or ridge can be tricky unless you know the absolute coordinates you want. You can t change viewpoints during the command. However, you can easily change the points later using grips. Another trick is to start any drawing command, such as LINE, before starting the pyramid. At the Specify first point: prompt, pick the point you want to use for the first base point of the pyramid. Then press Esc to cancel the command. This leaves that point as the last point specified. Now define the base of the pyramid, using the same point as the first base point. When you need to specify the apex or ridge, you can use relative coordinates from the first base point. For example, to create an apex two units directly over the first base point, specify @0,0,2 for the apex. When you use the Top option, AutoCAD provides a rubber-band line from each of the base corners in turn, letting you use relative coordinates from the base corners. You can also create a temporary 2D object before starting the pyramid to frame a ridge or top.