A Festive Cluster of Polyhedra

Posted on 26 October 2016 by RobertLovesPi

augmented-icosa-with-tet-then-octahedra

This is what you get if you start with an icosahedron, augment each of its faces with tetrahedra, and then augment the tetrahedral faces with octahedra. I made it using Stella 4d, a program you may try for free at http://www.software3d.com/Stella.php.

Twelve

Posted on 12 October 2016 by RobertLovesPi

trunc-icosidodeca-stellatiojn-with-triangles-hidden

Created using Stella 4d, available here.

Watch the Vortex Swirl

Posted on 6 October 2016 by RobertLovesPi

watch-the-voretex-swirl When I started this blog in 2012, I was gradually changing my preferred artistic medium, from acrylics on canvas, to software which manipulates electrons and photons. It’s still fun to pick up a paintbrush from time to time, though, and this is what I painted the last time I did that, in early June, 2016.

A Decorated Pentagonal Hexacontahedron, with Three of Its Stellations

Posted on 2 October 2016 by RobertLovesPi

penta-hexeconta

This is a pentagonal hexacontahedron, the dual of the snub dodecahedron. It’s decorated with mandalas of the the type I blogged here, two posts ago. The mandalas do interesting things when this polyhedron is stellated, as you can see below.

penta-hexeconta-stel-1