Zome Primer

3 Regular Ways of Arranging Lines in Space

3   Regular Ways of Arranging Lines in Space

1The regular polyhedra are like seeds from which growths may appear. They are the connecting joints for the zonohedra. The joints are all parallel to each other. The lines of the zonohedra are perpendicular to the faces of the joints.

3.1   Three Zones

2PIC

Figure 3.28: Cube

3.2   Four Zones

3PIC

Figure 3.29: Tetrahedron

4PIC

Figure 3.30: Octahedron

5PIC

Figure 3.31: Rhombic Dodecahedron

3.3   Six Zones

6PIC

Figure 3.32: Dodecahedron

7PIC

Figure 3.33: Rhombic Triacontahedron

3.4   Ten Zones

8PIC

Figure 3.34: Icosahedron

9PIC

Figure 3.35: Rhombic Enneacontahedron