Chapter 8

3D Geometry

This chapter introduces the essential building blocks of 3D geometry by first extending the 2D tools from Chapters 2 and 3 to 3D. But beyond that, we will also encounter some concepts that are truly 3D, i.e., those that do not have 2D counterparts. With the geometry presented in this chapter, we will be ready to create and analyze simple 3D objects, which then could be utilized to create forms such as in Figure 8.1.

Figure 8.1

Figure showing 3D objects: Guggenheim Museum in Bilbao, Spain. Designed by Frank Gehry.

3D objects: Guggenheim Museum in Bilbao, Spain. Designed by Frank Gehry.

8.1 From 2D to 3D

Moving from 2D to 3D geometry requires a coordinate system with one more dimension. Sketch 8.1 illustrates ...

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