![matthen:
This shows how the dodecahedron, a shape with 12 pentagon faces, can be distorted so that it can be drawn with no lines crossing. In fact any convex polyhedron has this property (loosely ‘convex’ means no dents or spikes). Related is the fact that for convex polyhedra the number of vertices, minus the number of edges, plus the number of faces is always 2. Here that is 20 red vertices - 30 edges + 12 faces = 2. Can you draw a cube with no lines crossing, and does the formula work add up to 2? [more] [code]
I love how the perspective makes this look like it’s happening in 3-space. Matthen, your work is consistently inspiring!](http://25.media.tumblr.com/tumblr_lngqa0R2sL1qfg7o3o1_400.gif)
This shows how the dodecahedron, a shape with 12 pentagon faces, can be distorted so that it can be drawn with no lines crossing. In fact any convex polyhedron has this property (loosely ‘convex’ means no dents or spikes). Related is the fact that for convex polyhedra the number of vertices, minus the number of edges, plus the number of faces is always 2. Here that is 20 red vertices - 30 edges + 12 faces = 2. Can you draw a cube with no lines crossing, and does the formula work add up to 2? [more] [code]
I love how the perspective makes this look like it’s happening in 3-space. Matthen, your work is consistently inspiring!
