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.

Three Pentagrams (from 2011)

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I ran into this on Facebook, where I posted it in 2011. That was the year before I started this blog.

An Intermediate Form Between the Icosidodecahedron and the Rhombic Triacontahedron

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This polyhedron combines the faces of an icosidodecahedron (red and blue) with the those of a rhombic triacontahedron (green). The gaps between those two sets of polygons are the yellow rectangles. I made this using the “morph duals by expansion” function of Stella 4d: Polyhedron Navigator. You can try this program for yourself, free of charge, at http://www.software3d.com/Stella.php.

Blues and Violets

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This was created using Geometer’s Sketchpad and MS-Paint.

At 53, My Age Is a Prime Number Again

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It has long been a tradition of mine to make star polygons to mark my birthdays. Since I’m 53 today, here’s a 53-pointed star.

A Tessellation for the New Year MMXXI

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Here’s another version, with different colors:

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.