Alternative Deflated Swissohedron

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This is a variant of the Swissohedron with the crosses a bit closer to the centre of the polyhedron. See more about corossohedra here.

Depending whether you interprete the crosses that consist of 5 squares as concave equilateral dodecagons or as 2 intersecting rectangles with a ratio of 1:3, this polyhedron either consists of 12 crosses and 32 congruent equilateral triangles or of 12 crosses, 8 small equilateral triangles and 8 self intersecting hexagons (seen as three triangles in one plane here). In case of the latter this polyhedron is isogonal. One can also see this polyhedron as an cuboctahedron with a tetrahemihexahedron attached to each triangle.

The model was built in 2021 and the smallest edge length is 2.5 cm (1 inch). The diameter is around 8.5 cm (3.3 inch).

This variant of the deflated swissohedron was found by Ulrich Mikloweit. In the picture below one can see both variants next to each other

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Last Updated

2021-07-11


Interactive 3D model