Rhombitruncated Icosidodecahedron with 42 tunnels

Rhombitruncated Icosidodecahedron with 42 tunnels

thingiverse

This model represents Bonnie Stewart's example of an everyday polyhedron found in his book "Adventures Among the Toroids." The exterior surface of this particular model, known as the Holey Monster (thingiverse.com/thing:838363), consists of square faces containing zig-zag pathways. However, these paths cannot be seen clearly due to their tunnel-like structure. From a topological perspective, this model can be classified as a genus 41 torus.

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