Two Polyhedra Which Both Feature Twenty Regular Enneagons

The first polyhedron shown here has 212 faces.

The next one has 120 faces, and all the non-enneagonal faces in it are convex pentagons — sixty each, of two types.

I made these polyhedra using Stella 4d, which you can try for free right here.

Tessellation Featuring Regular Enneagons, Equiangular Dodecagons, and Isosceles Triangles

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A Tessellation Featuring Regular Hendecagons, Convex Decagons, and Isosceles Triangles

Hendecagons are also known by many people as “11-gons.” It took quite a while to figure out how to make a tessellation using them.

A Symmetrohedron Derived From the Rhombic Triacontahedron

I made this from a rhombic triacontahedron, using zonohedrification and faceting, with a program called Stella 4d. If you’d like to try this program for yourself, for free, you can do that at this website. This symmetrohedron’s faces include twenty equilateral triangles, thirty regular hexagons, and sixty kites.

Polyhedron X

This is the second stellation of the truncated octahedron. I made it using Stella 4d, which you can try for yourself right here.

A Compound of Ten Hexagonal Prisms

I made this by faceting a great rhombicosidodecahedron, using Stella 4d: Polyhedron Navigator. You can try this program for free at http://www.software3d.com/Stella.php.

Tessellation Featuring Regular Pentadecagons, Regular Hexagons of Two Sizes, Non-Convex Heptagons, and “Bowtie” Pairs of Isosceles Trapezoids

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Tessellation Featuring Regular Pentadecagons, Rhombi, Isosceles Triangles, and Six-Pointed Stars

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Two Symmetrohedra, Both of Which Feature Eight Regular Enneagons

The first of these, shown above, also includes six squares, 24 isosceles trapezoids, and twelve rectangles among its faces.

The second one, shown below, also includes among its faces six regular octagons, and twelve pairs of “bowtie” trapezoids.

I made both of these models using Stella 4d, which you can try for free here. The starting point for making them was the enneagonal-faced polyhedron found in this program’s built-in set of near-misses to the Johnson solids.

A Polyhedron Featuring Twenty Regular Enneagons and Sixty Kites

I made this using Stella 4d, which you can try for free at this website.