RobertLovesPi.net

Polyhedra, tessellations, and more.

Two Versions of a Tessellation Featuring Regular Hexagons, Regular Pentagons, and Tetraconcave, Equilateral Octagons

Posted on 17 April 2021 by RobertLovesPi

The octagons appear as four-pointed stars, with the narrowest angles measuring 12 degrees, and the next-narrowest measuring 24 degrees.

A Rhombic Triacontahedron, Covered with Tessellations

Posted on 28 March 2020 by RobertLovesPi

The tessellations of the faces of this rhombic triacontahedron first appeared in my last post here. For putting the whole thing together and creating this rotating .gif, I used a program called Stella 4d. If you want to, you can try Stella for free at this website.

If I've tried this once, I've tried it at least fifty-five times….

Posted on 24 March 2020 by RobertLovesPi

It’s hard to get regular pentagons, regular star pentagons, regular decagons, and related polygons to tessellate the plane while maintaining radial symmetry. This is my latest attempt.

Space-Filling Octagonal Prisms and Great Rhombcuboctahedra

Posted on 29 November 2019 by RobertLovesPi

This is a continuation of the process shown in the last post here, but with a different coloring-scheme.

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

Octahedra and Cuboctahedra Can Fill Space Without Leaving Any Gaps

Posted on 18 October 2018 by RobertLovesPi

Augmented Cubocta

I created this image using Stella 4d, which you can try for free right here. It’s much like a tessellation, but in three dimensions instead of two.

Two Color-Patterns of a Tessellation Using Squares, Rhombi, Equilateral Hexagons, Tetraconcave Octagons, and Regular Octagons

Posted on 3 January 2016 by RobertLovesPi

new tess new tess 2

Octagons Can Tile a Plane III

Posted on 2 January 2016 by RobertLovesPi

Unlike my previous octagon-tiling discoveries (see previous post), this is a chiral, radial tessellation, with the colors chosen to highlight that fact.

tessoct radial