Tags » Icosahedron

On Polyhedral Augmentation and Excavation

I have made many posts here using polyhedral augmentation, but what I haven’t done — yet — is explain it. I have also neglected the reciprocal function of augmentation, which is called excavation. 713 more words


Explore Your Archive Week 14-22 November 2015

Yes its ‘Explore Your Archive’ week and to celebrate we’ve been to Monte Verita, aka the ‘Mountain of Truth’ in Ascona, Switzerland to attend the… 1,412 more words


Building a Rhombic Enneacontahedron, Using Icosahedra and Elongated Octahedra

With four icosahedra, and four octahedra, it is possible to attach them to form this figure:

This figure is actually a rhombus, but the gap between the two central icosahedra is so small that this is hard to see. 125 more words


Playing with Paper Folding

Paper folding can be quite fun an recently I have done a nice project with some nice techniques. The project could work quite interesting in a geometry class or in any other 3D related shapes – class. 306 more words


An Icosahedron, Augmented by Snub Dodecahedra, Plus Two Versions of a Related Polyhedral Cluster

Because the snub dodecahedron is chiral, the polyhedral cluster, above, is also chiral, as only one enantiomer of the snub dodecahedron was used when augmenting the single icosahedron, which is hidden at the center of the cluster. 75 more words


A Compound of an Icosahedron and the First Stellation of the Rhombic Triacontahedron

I made this compound using software called Stella 4d: Polyhedron Navigator. This program may be purchased (or a trial download tried for free) at this website.


A Central Icosahedron, Augmented with Twenty Rhombicosidodecahedra

A model this complex would have taken days to build by hand. With software called Stella 4d: Polyhedron Navigator, however, making this “virtual model” was easy. 20 more words