I made this using *Stella 4d: Polyhedron Navigator*, a program you can try for free at http://www.software3d.com/Stella.php.

# Tag Archives: geometry

## Spectral Tessellation of Rhombi

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# Tessellation 4, 5, 6

The tessellation above is shown in primary colors. The one below is rendered in shades of blue.

# A Tessellation of Regular Hexagons, Squares, and Triangles

I wonder if other people find tessellation relaxing?

# A Tessellation of Regular Polygons

This tessellation is made only of regular polygons: triangles, squares, and dodecagons.

# A Rhombic Dodecahedron Decorated with Golden Mandalas

To make this, I used *Stella 4d: Polyhedron Navigator* to take the image I blogged here, and then project it onto the faces of a rhombic dodecahedron. Next, I put that polyhedron into motion for the .gif shown below.

If you’d like to give* Stella* a free try, the site to visit is http://www.software3d.com/Stella.php.

# Octagonal Spirals

This is a modification of the well-known tessellation of the plane with squares and regular octagons.

## A Tessellation of Regular Decagons and Bowtie Hexagons

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## A Tessellation of Concave, Equilateral Pentagons, Together with Tetraconcave, Equilateral Octagons

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# A Concave Polyhedron Featuring Eight Regular Dodecagons

This 110-faced polyhedron has, in addition to the eight regular dodecagons, six rectangles, and 96 triangles. I made it using *Stella 4d*, a program you can try for free, as a demo version, at http://www.software3d.com/Stella.php. I wish I could remember how I made it!

Fortunately, I have many friends who are more knowledgeable than I, when it comes to mathematics. Perhaps one of them will be able to solve this mystery.