A Compound of Two Square-Based Pyramids

Posted on 10 July 2025 by RobertLovesPi

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

A Chiral Compound of Six Square-Based Pyramids

Posted on 8 June 2023 by RobertLovesPi

This is a stellation of the pentagonal icositetrahedron. I made it 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

Posted on 7 November 2022 by RobertLovesPi

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

Compound of Four Pyramids

Posted on 30 July 2021 by RobertLovesPi

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

An Excavated Tetrahedron

Posted on 13 May 2021 by RobertLovesPi

Polyhedral excavation is the opposite of augmentation. In this excavated tetrahedron, short pyramids have been removed from each face. I made this using Stella 4d, which can be tried for free at this website.

Five Tetrahedra

Posted on 9 May 2021 by RobertLovesPi

I made this variation of Kepler’s Stella Octangula, using Stella 4d, software you can try for free at this website.

A Pyramid-Augmented Snub Dodecahedron

Posted on 8 February 2020 by RobertLovesPi

All of the edges of this polyhedron have the same length. I made it using Stella 4d: Polyhedron Navigator, which you can try for free at this website.

A Tetrahedral Array of Pulsating Tetrahedra

Posted on 16 March 2019 by RobertLovesPi

I created this using Stella 4d: Polyhedron Navigator. You may try this software, for free, at http://www.software3d.com/Stella.php.

A Fashionable Tetrahedron

Posted on 19 April 2015 by RobertLovesPi

You can tell this is a fashionable tetrahedron because he’s wearing four pyramidal hats — one to cover each vertex.

This bit of polyhedral silliness was created with Stella 4d, software you may try for free right here.

The Pyramid-Excavated Icosidodecahedron, and Its Interesting Dual

Posted on 14 April 2015 by RobertLovesPi

To make this, I used the excavation-function of Stella 4d, set to remove pyramids with equal edge length from each face of an icosidodecahedron. You can try this program here.

The dual of this polyhedron is shown below.