RobertLovesPi.net

Polyhedra, tessellations, and more.

About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things, a large portion of which are geometrical. Welcome to my own little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with those of my employer, nor any other organization, nor institution, of any kind.

A Polystar, Made of Golden Triangles and Golden Gnomons

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A Tessellation of Regular Hexagons, Golden Triangles, and Rhombi

Posted on 17 April 2021 by RobertLovesPi

The rhombi’s interior angles measure 84 and 96 degrees.

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.

An Augmented Great Dodecahedron

Posted on 4 April 2021 by RobertLovesPi

To make this polyhedron, I started with a great dodecahedron, and then augmented each of its facelets with a prism, using a program called Stella 4d. You can try this program for free at this website.

A Tessellation Featuring Regular Hexagons and Two Types of Rhombi

Posted on 3 April 2021 by RobertLovesPi

This tessellation is made of blue regular hexagons, as well as rhombi containing 40 and 140 degree angles (red), and rhombi containing 80 and 100 degree angles (yellow).