Category Archives: Mathematics

The dominant topic of my blog. You figured that out from the blog’s name, though, right?

The Stella Octangula, Combined with the Cube/Octahedron Compound

Image

Reply

The Stella Octangula, Combined with the Cube/Octahedron Compound

Software credit: http://www.software3d.com/stella.php

The Stella Octangula, Encasing a Cube

Image

Reply

The Stella Octangula, Encasing a Cube

Software credit: http://www.software3d.com/stella.php

Decorated Cuboctahedron

Image

Reply

Decorated Cuboctahedron

The decorations on the faces are based on the last post, and were made with Geometer’s Sketchpad and MS-Paint. Putting them on the faces and making this rotating .gif file was done with another program, Stella 4d, available at http://www.software3d.com/stella.php.

Tessellation Using Regular Nonagons and “Snowflake” Dodecagons

Image

Reply

The “snowflake” dodecagons are equilateral, and resemble star hexagons — but the resemblance is close, not exact.

Dodecahedral Cluster of Icosidodecahedra

Image

Reply

Dodecahedral Cluster of Icosidodecahedra

Created using Stella 4d, software you can try at http://www.software3d.com/stella.php.

Compound of Four Triangular Prisms

Image

Reply

Compound of Four Triangular Prisms

Software credit: see http://www.software3d.com/stella.php

An Octahedron Partially Encasing a Rhombic Dodecahedron

Image

1

An Octahedron Partially Encasing a Rhombic Dodecahedron

Software credit: http://www.software3d.com/stella.php

Great Circles

Image

Reply

Great Circles

These great circles are all in the reflection planes of an icosidodecahedron, but that polyhedron, itself, is invisible here.

Software credit: see http://www.software3d.com/stella.4d

Great Rhombcuboctahedron with Red and Blue Mandalas

Image

Reply

Great Rhombcuboctahedron with Red and Blue Mandalas

The design on the faces first appeared in the last post, and was made using Geometer’s Sketchpad and MS-Paint.

I used Stella 4d, another program, to put this design (as a colorized version) on the octagonal and hexagonal faces of this great rhombcuboctahedron, and then render the square faces of this polyhedron invisible. This program is available at http://www.software3d.com/stella.php.

A Dodecahedron, with Mandalas in Six Colors

Image

Reply

Dodecahedron with Mandalas in Six Colors

Geometer’s Sketchpad and MS-Paint were used to create a black-and-white version of the flat image (seen in the previous post) on each face of this dodecahedron. The rest of the work to made this 3-d rotating image was done with Stella 4d, which you can try for yourself at http://www.software3d.com/Stella.php.