Tessellation Featuring Regular Octadecagons, Regular Octagons, Equiangular Hexagons, and Concave Pentagons

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A Purple-On-Purple Rendering of the Compound of Five Cubes

Posted on 16 February 2025 by RobertLovesPi

Here’s a link to the software I used to create this.

A Red Great Icosahedron, Backed With More Red

Posted on 13 February 2025 by RobertLovesPi

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

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.

The Great Rhombicosidodecahedron, Adorned With Images From the Saturnian System

Posted on 18 January 2025 by RobertLovesPi

In this rotating image of a great rhombicosidodecahedron, the decagonal faces show images of Saturn and its rings. The hexagons show Saturn’s largest moon, Titan. The moon Mimas, with its giant crater that makes it resemble the “Death Star,” from Star Wars, is shown on the square faces. These either are, or are close to, the true colors of these astronomical images. Titan appears to have little or no detail because of its thick, hazy atmosphere. Also, these three images are not shown to scale.

I found these images using Google-searches, and the only one that requires personal credit is the photograph of Titan, which was taken by Kevin M. Gill. Also, I assembled them onto this polyhedron, and created the rotating .gif above, using Stella 4d, a program you can try for free at http://www.software3d.com/Stella.php.

Tessellation of the Plane with Regular Hexagons, Squares, and Tetraconcave, Equilateral Octagons, #2

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If you’d like to see the first version of this tessellation, made over a decade ago, this is where you’ll find it. https://robertlovespi.net/2014/06/08/tessellation-of-the-plane-with-regular-hexagons-squares-and-tetraconcave-equilateral-octagons/

A Tessellation Made of Many Circles

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Hexagonal Tessellation of Semicircles

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My 2025 Birthday Star

Posted on 12 January 2025 by RobertLovesPi

I turn 57 years old today, so here is a 57-pointed star to mark the occasion. It’s actually 3 stars, each of which has 19 points, which works because (3)(19) = 57. The individual stars here are {19/9} enneadecagrams — a blue one on the bottom layer, with green on the top, and red for the in-between star.

To WordPress: I’ll do my own writing, and your A.I. can go take a virtual leap off the top of a virtual skyscraper!

Posted on 7 January 2025 by RobertLovesPi

You can’t tell it from the web-address, but this is a WordPress blog, and I’ve recently run into a new problem here. The WP user interface has started volunteering to write my blog-posts for me, using a $#@%ed A.I.

Of this I am certain: I have no intention on ever having an A.I. write anything for me, and find the suggestion both insulting and offensive. If you like the writing here, or if you find errors, you can give the credit and/or blame solely to me.

In the “credit where credit is due” department, the angry-face drawing above was made by me, using MS-Paint, but it’s based on a drawing by an artist friend of mine named Rebecca Lemley McGraw. When I use, or reference, the work of others, I give credit. It’s the right thing to do.