Author Archives: RobertLovesPi

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About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things, a large portion of which are geometrical. Welcome to my own little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with those of my employer, nor any other organization, nor institution, of any kind.

Blue Staircase Tessellation

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A Tessellation Which Would Make a Terribly Confusing Traffic Sign

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A Non-Convex Polyhedron Made of 180 Kites

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I just woke up, and found this waiting for me on my computer. Apparently, I made it when I was half-asleep, hours earlier. I made it using Stella 4d, which you can try for free right here. Its faces are 60 small red darts, and 120 large yellow darts.

A 72-Faced Polyhedron

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The faces of this polyhedron include twelve regular decagons, as well as sixty convex pentagons. I made it using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.

Two Views of the Final Stellation of the Icosidodecahedron

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In the image above, the icosidodecahedron’s final stellation is colored by face type. In the one below, I used “rainbow color mode.” Both were made using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

One of Many Facetings of the Icosidodecahedron

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I created this using Stella 4d, software you can try right here.

A Faceted Truncated Icosahedron With 32 Faces

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This faces of this polyhedron include 12 regular pentagons, and twenty 6/2-gons. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

A Tessellation Featuring Three Varieties of Squares

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Tessellation of Hexagrams and Equilateral Triangles

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A Fifty-faced Symmetrohedron

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The hexagons and squares in this polyhedron are regular; only the isosceles trapezoids are not. I made it using Stella 4d, which you can try for free right here.