RobertLovesPi.net

Polyhedra, tessellations, and more.

Spectral Flower

Posted on 15 January 2015 by RobertLovesPi

Green Icosidodecahedral Cage

Posted on 8 January 2015 by RobertLovesPi

In this icosidodecahedron, the pentagonal faces have been removed, and the triangular faces have been augmented with short pyramids. I used Stella 4d to make it, which you can find here.

Trigonometric Stained-Glass Windows

Posted on 3 January 2015 by RobertLovesPi

To make the virtual “painting” above, I plotted simple and moderately-complex trigonometric functions on a single coordinate plane, as shown below, using Geometer’s Sketchpad. I then erased all the text, etc., copied-and-pasted a screenshot into MS-Paint, and used that program to make the finished image above.

Octagons, Hexagons, and Squares

Posted on 31 December 2014 by RobertLovesPi

Hexagons and Octagons

Posted on 31 December 2014 by RobertLovesPi

A Tessellation Featuring Multicolored, Regular Tetracontagons, as Well as Tetraconcave, Black, and Equilateral Hexatriacontagons

Posted on 29 December 2014 by RobertLovesPi

A Radial Tessellation of Regular Decagons and Bowtie Hexagons

Posted on 20 December 2014 by RobertLovesPi

This tiling-pattern could be continued indefinitely, while still maintaining its five-fold radial symmetry, giving it the overall appearance of a pentagon.

An Icosagon, with Its Diagonals

Posted on 18 December 2014 by RobertLovesPi

Blue-on-Blue Dodecahedron

Posted on 17 December 2014 by RobertLovesPi

This uses enlarged spheres centered on the dodecahedron’s vertices, overlapping so that they obscure the edges. Also, the faces are rendered invisible. I created it using Stella 4d, available at http://www.software3d.com/Stella.php.