Coloring the Great Rhombicosidodecahedron
Probability
Level
3
This is the Great Rhombicosidodecahedron:
What is the minimum number of colors you need to color all sides of a Great Rhombicosidodecahedron such that no two sides that join on an edge have the same color?
Image credit: http://m100.nthu.edu.tw/
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None of these answers
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1 solution
You need at least three colors since three faces meet at a vertex, and all three of those would need to be a different color.
However, the cool thing here is that you can do it with only 3 colors, by coloring the squares one color, the hexagons another color, and the decagons a third color, like this:
Image credit: commons.wikimedia.org