I made this using *Stella 4d: Polyhedron Navigator*, which you can try for free at this website.

# Monthly Archives: October 2021

## A Tessellation Featuring Regular Enneagons and Both Regular and Irregular Hexagons

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## Three Regular Enneagrams, Each Made of Three Equilateral Triangles

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## Tessellation of the Plane Using Regular Dodecagons, Regular Hexagons, Squares, and Rhombi

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# Tessellating the Plane With Squares, Regular Octagons, and 45/135 Degree Rhombi

The tessellation of the plane using only squares and regular octagons is well-known, and not difficult to construct. What I did here was to add another polygon to the mix: rhombi containing 45 and 135 degree angles, “seeded” in the initial part of the tessellation, at this figure’s center. This addition greatly increases the rigor of this construction.

This is a radial tessellation with eight-fold symmetry. I couldn’t continue it outwards any further without crashing *Geometer’s Sketchpad*, the software I use to make tessellations, but this is taken far enough to see the pattern.

# Rainbow Enneagonal Mandala (from 2010)

I just found this on Facebook. I made it two years before starting this blog.

## Tessellation of Large and Small Circles, Together With Curved Quadrilaterals

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## Tessellation of Squares and Equilateral Hexagons

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# Tessellation of Concave, Equilateral Octagons

Someone once told me that you can’t tile a plane with octagons. I enjoy proving them wrong.