Make: Geometry

edges are about 40% longer than those of the cube. But if you line up a tetra-

hedron edge with the diagonal of the opening in the cube (Figure 13-35) it will

slide in easily (Figure 13-36). This is a really fun puzzle to just hand someone,

and it is a way to really appreciate the Pythagorean Theorem after you’ve

spent 5 minutes fuming at not being able to get the tetrahedron in the cube.

REULEAUX AND CONSTANT-WIDTH SHAPES IN 3D

Now, let’s check out some other interesting 3D shapes. Back in Chapter 4,

we learned about Reuleaux polygons, which are shapes of constant width.

What happens in the third dimension? Are there 3D shapes of constant

wid ...