A Blue-On-Blue Rendering of the Final Stellation of the Icosahedron

Posted on 5 February 2025 by RobertLovesPi

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

Stellating the Tetrahedrally-Diminished Dodecahedron, Using Zometools

Posted on 8 June 2024 by RobertLovesPi

This is the tetrahedrally-diminished dodecahedron, which can be formed from the Platonic dodecahedron by using faceting. In this case, I used Zometools. If you’d like to look into buying some Zome of your own, the website to visit is http://www.zometool.com.

Stellating polyhedra is one of the things Zome was invented for. The images below are two different rotations of a stellated tetrahedrally-diminished dodecahedron.

More Stellations of the Small Dodecahemiicosahedron

Posted on 11 October 2023 by RobertLovesPi

In the last post here, I showed off the small dodecahemiicosahedron, along with three of its stellations. I’ve now had time to take a deeper dive into this stellation-series, and I found several more stellations to share. First, the 32nd stellation.

Next, the 38th stellation.

The 40th stellation also caught my eye.

Finally, here’s the 51st stellation of this uniform solid.

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

The Small Dodecahemiicosahedron, and Three of Its Stellations

Posted on 8 October 2023 by RobertLovesPi

Here’s the small dodecahemiicosahedron, which is one of the uniform polyhedra. It has 22 faces: the twelve star pentagons shown in red, and the ten regular hexagons shown in yellow.

This solid has a long and interesting stellation-series. Three excerpts from that series are shown below. First, the tenth stellation.

Next, the eighteenth stellation.

Finally, the thirtieth stellation.

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

Three Different Views of the Third Stellation of the Rhombic Dodecahedron

Posted on 18 July 2023 by RobertLovesPi

This is the thrid stellation of the rhombic dodecahedron. Its facelets are 24 rhombi and 24 “chevron” hexagons. Here’s another view, colored by individual face, with parallel faces having the same color.

Finally, here’s one in “rainbow color mode.”

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

Two Views of the Final Stellation of the Icosidodecahedron

Posted on 28 December 2022 by RobertLovesPi

In the image above, the icosidodecahedron’s final stellation is colored by face type. In the one below, I used “rainbow color mode.” Both were made using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

The Final Stellation of the Great Rhombicosidodecahedron

Posted on 15 October 2022 by RobertLovesPi

I made this using Stella 4d. If you’d like to try Stella yourself, the website to visit for a free trial download is http://www.software3d.com/Stella.php.

Compound of Two Stellated Polyhedra

Posted on 29 May 2022 by RobertLovesPi

The yellow component of this compound is the small stellated dodecahedron. As for the blue component, I’m not sure what it’s called. I made this using Stella 4d, which you can try for free right here.