Optimizing Apple Park

And we’re back with another circle-themed geometry puzzle! This one’s about the new headquarters of Apple, Inc: Apple Park. (Remember, I don’t actually work in this building.)

Graph Coloring the Sonobe Model, Part 2

Following up on yesterday’s post, today I managed to get the right graph generated, one that actually represented Gashley’s 30-Unit Sonobe Model. Again, this is essentially a “spiked dodecahedron”, where every vertex of a normal dodecahedron has been turned into a three-sided “spike”. Once again, the computer processed the graph quickly, and once again it found a valid 3-coloring.

Graph Coloring the Sonobe Model, Part 1

Yesterday, NaCreSoMo participant “Gashley” posted her Sonobe Model modular origami. The model is essentially a “spiked dodecahedron”: every vertex of a normal dodecahedron has been turned into a three-sided “spike”. Gashley attempted to color each side of each spike a different color such that no two colors would end up next to each other, but couldn’t quite manage to do it. She hypothesized that it wasn’t possible, and I was nerd sniped.