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Icoctahedron
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A face turning octahedron in shape of a non-regular icosahedron.

As the brother of the Dodoctahedron, this share the same face turning octahedron mechanics. To achieve this face pattern, the geometry of the regular icosahedron was bent. Instead of a 1:? ratio for the 3 perpendicular rectangles that give the icosahedron vertices, a 1:2 ratio was used. This way the cuts intersect at the centroid of each faces and at the vertices of the solid.
This puzzle is very similar to the "Icosahedral FTO" which has its own entry. Unlike the earlier puzzle the shape is not a perfect icosahedron. This was necessary to let the cuts go straight through the corners.

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Contributors

Thank you to the following people for their assistance in helping collect the information on this page: Keisuke Maruyama.

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