Exhibit 2:In this exhibit we've pulled back the camera to fit larger shapes on our scope. The shapes are a mix of 4-fold and 5-fold symmetric. The status bar will show the volumes of these shapes when you select an isolated view. The rhombic triacontahedron assembles from either 120 T-modules or 120 E-modules, depending on whether our goal is (a) a volume of precisely 5 or (b) a mid-face radius of precisely 1. The difference is too small to depict using these thick-cylinder edges. We start with the unit-radius sphere, where we left off in Exhibit 1. The last frame introduces the 2-frequency cube, a repeat of the 3-volumed original, but this time with its edges doubled -- an 8-folding in volume (2^3 = 8 and 3 * 8 = 24 ). |
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