Two Versions of a Tessellation Featuring Regular Hexagons, Regular Pentagons, and Tetraconcave, Equilateral Octagons

The octagons appear as four-pointed stars, with the narrowest angles measuring 12 degrees, and the next-narrowest measuring 24 degrees.

An Augmented Great Dodecahedron

To make this polyhedron, I started with a great dodecahedron, and then augmented each of its facelets with a prism, using a program called Stella 4d. You can try this program for free at this website.

A Tessellation Featuring Regular Hexagons and Two Types of Rhombi

This tessellation is made of blue regular hexagons, as well as rhombi containing 40 and 140 degree angles (red), and rhombi containing 80 and 100 degree angles (yellow).

36 Rhombi in an Octadecagon

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A Pentadecagon and Its Diagonals

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Tessellation of Rhombi and Regular Pentagons

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Dodecagonal Color Wheel with 30-60-90 Triangles

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A Great Rhombicosidodecahedron, Excavated by Twelve Pentagonal Rotundas

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

A Great Rhombicosidodecahedron, Augmented with Twelve Pentagonal Rotundas

I made this using Stella 4d, which yo can try for free at http://www.software3d.com/Stella.php.

Tessellation Featuring Regular Hexadecagons, Isosceles Triangles, and Equiangular Octagons

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