This is Greg Egan's clue to a puzzle.
The red, yellow and blue shape is called the small cubicuboctahedron. It has 8 blue triangles, 6 red squares and 6 yellow octagons that go through the shape and are mostly hidden from view. The octagons cross each other in some 'false edges'.
The green and purple shape is made of 48 isosceles triangles. They wrap around a sphere twice, and there are 8 'branch points' where the two sheets meet, as well as some 'false edges' where they cross.
Amazingly, both these shapes have the topology of a 3-holed torus! (You have to ignore the false edges for this to be true.)
The puzzle is: how, exactly, can you turn one of these shapes into the other?
If you missed the story of these two shapes, try this:
- Orbitzcreature engineer, 2013
- Columbia University2013 - 2014
- University of Maryland, College Parkcomputer science
- University of Maryland, College Parkpsychology
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