Monthly Archives: December 2020

A Tessellation of Regular Hexagons and Squares, as Well as Equilateral and Elongated Hexagons

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Here’s the same tessellation, using different colors:

A Tessellation Featuring Regular Enneagons and Triangles, as Well as Equilateral Three-Pointed Stars

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Here’s a second version, with different colors:

A Tessellation Featuring Regular Octagons and Triangles, Together with Equilateral Four- and Six-Pointed Stars

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This tessellation started with a single equilateral triangle, surrounded by regular octagons. The one shown below is the same tessellation, but with different colors.

A Tessellation Featuring Regular Heptagons and Triangles, Together with Equilateral Four- and Six-Pointed Stars

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This started with the idea of attaching a regular heptagon to each side of an equilateral triangle. From there, it took on a life of its own.

Here’s another version, with different colors:

A Dodecahedron, with Mandalas

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The mandala used here first appeared in this blog-post. I then used Stella 4d: Polyhedron Navigator to put those images on the faces of a dodecahedron. If you’d like to try this program yourself, you can do so, for free, at http://www.software3d.com/Stella.php.

A Tessellation Featuring Squares, Regular Octagons, and Equilateral Hexadecagons

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Mandala Featuring Regular Heptagons and a Regular Tetradecagon, with Convex Pentagons and Isosceles Trapezoids

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Tessellation Featuring Squares, Regular Heptagons, Equilateral Hexadecagons, and Equilateral Dodecagons

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Tessellation Featuring Regular Octadecagons, Equilateral Triangles, and Isosceles Triangles

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Tessellation of Squares, Regular Hexagons, and Equilateral, Tetraconcave Octagons

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Here’s a second version, with a different coloring-scheme: