Tags » Icosahedron

An Icosahedron, Augmented with Twenty Triangular Cupolae, Together with Its Dual

After making the above polyhedron using Stella 4d (a program you can try for free at www.software3d.com/Stella.php), I checked its dual, which is shown below. 22 more words

Mathematics

Sacred Geometry

The strands of our DNA, the cornea of our eye, snow flakes, pine cones, flower petals, diamond crystals, the branching of trees, a nautilus shell, the star we spin around, the galaxy we spiral within, the air we breathe, and all life forms as we know them emerge out of timeless geometric codes. 221 more words

Sacred Geometry

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

I stumbled across this compound yesterday, an example of exploratory polyhedral manipulation using Stella 4d producing an unexpected result. If you would like to experiment with a free trial download of this program, before deciding whether or not to purchase the fully-functioning version, simply click here:   6 more words

Mathematics

Icosahedron with Tessellated Faces

The images on the faces of this icosahedron appeared on this blog three posts ago, and were created with Geometer’s Sketchpad and MS-Paint. To project this image onto this polyhedron, and then generate this rotating .gif, I used a third program, … 21 more words

Mathematics