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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.

Zigzag Tessellation

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Tessellation of Concave Enneagons

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A Tessellation Featuring Regular Hexagons, Triangles, and Squares, Along With Two Different Rhombi

The orange rhombi have interior angles which measure 30 and 150 degrees. For the blue rhombi, 60 and 120 degrees are the measures of the interior angles.

A Tessellation of {8/3} Star Octagons and Two Sizes of Squares

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A Tessellation Featuring Squares, Rhombi, and Four-Pointed Stars

Detail:

Perhaps You Shouldn’t Judge a Book by its Cover — However….

(Image found on eBay)

When Pink Floyd’s The Dark Side of the Moon was released, in 1973, I was five years old. I saw the cover for a cassette tape of the album in a store, grabbed it, and wouldn’t let go. Apparently, I’ve always liked triangles.

My parents had to pay for the tape, just to get us out of there. My father tried to turn this into a little life lesson for me (“Don’t judge a book by its cover,” or some such crap). When we got home, we played it, and everyone involved had to admit that picking music based on cover art does, sometimes, actually work.

Regular Polygons in a Tessellation: Triangles, Squares, Hexagons, and Dodecagons

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A Tessellation Featuring Regular Pentagons and Triangles, Along With Rhombi and Three-Pointed Stars

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Tessellation Featuring Two Types of Rhombi, Equilateral Triangles, and Convex Pentagons

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The 12th Stellation of the Cuboctahedron

This image was made using Stella 4d: Polyhedron Navigator. You can try this software for free at http://www.software3d.com/Stella.php.