Odd Polyhedral Cluster

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Odd Polyhedral Cluster

I stumbled upon this while using Stella 4d to modify existing polyhedra. You may find this program at http://www.software3d.com/Stella.php.

Octagonal Mandala II

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Octagonal Mandala

If the colors are inverted, but the background remains black, this is what it turns into:

radial octagonal mandala ic

Camping In Hexagonal Tents On a Tessellated Plane

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Camping In Hexagonal Tents On a Tessellated Plane

Squares and Triangles

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Squares and Triangles

Here’s what it looks like with different colors (click to enlarge it):

tess with sq & tri 2

A Gallery of Nine Tessellations Using Hexagons

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hextess

Pictured above is the most familiar hexagonal tessellation. I’ve found some additional tessellations which use equilateral (but non-equiangular) hexagons, and have radial symmetry. They appear, using various coloring-schemes, below.

Hex radial tessellationHex radial tessellation 2Hex radial tessellation 3Hex radial tessellation 4radial octagonal mandala 2radial octagonal mandala 2Buntitleduntitled ic

A Rhombic Dodecahedron Featuring Rotating Pentagonal Mandalas

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A Rhombic Dodecahedron Featuring Rotating Pentagonal Mandalas

Geometer’s Sketchpad and MS-Paint were both used to make the images on the faces of this polyhedron, and then Stella 4d was used to put it all together and create this rotating image. Stella may be bought, and/or tried for free, at www.software3d.com/Stella.php.

A Pentagonal Mandala In Primary Colors

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A Pentagonal Mandala In Primary Colors

The Center of a Radial Tessellation Featuring Regular Pentadecagons

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The Center of a Radial Tessellation Featuring Regular Pentadecagons

Thirty Flying Rhombi

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Sixty Flying Rhombi

I used Stella 4d to make this image, and you can find that program at http://www.software3d.com/Stella.php.

Thirty Flying Hexagons

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Sixty Flying Hexagons

When I tweet a link to this blog-post as @robertlovespi, it will likely be quickly retweeted by @hexagonbot, simply because of the term “hexagon” being included in the tweet. What I don’t understand: Why do other polygons not have bots of their own?

I used Stella 4d to make this image, and you can find that program at http://www.software3d.com/Stella.php.