Stella Octangula, Times Nine

I made this with a program called Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

Tessellation Featuring Regular Octagons, Regular Pentagons, Concave Octagons, and Concave Hexadecagons

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Tessellation Featuring Isosceles Trapezoids, Convex Pentagons, Regular Hexagons, Convex Heptagons, Equiangular Octagons, and Equiangular Hexadecagons

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A 32-faced Polyhedron Featuring 4 Regular Heptagons

In addition to the four regular heptagons, this polyhedron has four quadrilateral faces, plus 24 triangles. I made it using Stella 4d, which you can try for free here. The second image, below, shows the same polyhedron from a different angle.

Tessellation of Squares, Two Types of Rhombi, and Equilateral Octagons

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Tessellation of Squares, Rhombi, and Regular Octagons

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A Polyhedron Featuring 24 Regular Heptagons, Six Squares, and a Whole Mess of Triangles

This polyhedron has 230 faces, and I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

A Compound of the Platonic Octahedron and a Pyritohedral Dodecahedron

The red component of this compound is one of an infinite number of possible pyritohedral dodecahedra. It’s shown by itself in the image below.

I made this compound using Stella 4d, a program you can try for free at http://www.software3d.com/Stella.php.

A Pyritohedral, Stellated Polyhedron

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

A Compound of Four Off-Center Pyramids

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