Symmetrohedron Featuring Eighteen Regular Octagons, Eight Equiangular Hexagons, and Twenty-four Isosceles Trapezoids

Symmetrohedron Featuring Eighteen Regular Octagons, Eight Equiangular Hexagons, and Twenty-four Isosceles Trapezoids

The regular octagons are of the same size, but of two different types, when one considers the pattern of other faces surrounding them. This is why six of them are yellow, and twelve are red.

If the hexagons and isosceles trapezoids were closer to regularity, this would qualify as a near-miss to the Johnson solids, but it falls short on this test. Is is, instead, a “near-near-miss” — and not the first such polyhedron to appear on this blog, either.

(Image created with Stella 4d — software you can try yourself at http://www.software3d.com/Stella.php.)

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