A Polyhedron With Tetrahedral Symmetry, a Dozen Regular Heptagons, and a Whole Mess of Triangles

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

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.

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 Polyhedron Featuring Sixty Regular Heptagons

In addition to the sixty heptagons, there are twelve regular pentagons and sixty quadrilaterals in this polyhedron, along with 380 triangles of various shapes and sizes. That’s 512 faces in all.

I used Stella 4d: Polyhedron Navigator to make this. You may try this program, for free, at http://www.software3d.com/Stella.php.

A “Barrel” Polyhedron With Heptagonal Bases

Here is this polyhedron’s dual.

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

Heptagonal/Hexagonal Mixed Antiprism

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

A Near-Miss to a Ring of Twelve Heptagonal Antiprisms

Twelve heptagonal antiprisms, meeting at triangular faces, can make a ring with only a small gap remaining. It’s a “near miss,” made using Stella 4d, which you can try for free right here.

An Arrangement of Heptagonal Prisms

Here is its dual.

I made these using Stella 4d: Polyhedron Navigator, a program you may try for free at http://www.software3d.com/Stella.php.

Six of Seven

This 31-faced polyhedron is unusual in that it features six regular heptagons as faces. I made it using Stella 4d, which you can try for free at this website.

Five of Seven

This polyhedron is unusual in that it has five regular heptagons as faces. It has twenty-two faces in all. It was created using Stella 4d, software you can try for free right here.