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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.

A Tessellation Featuring Regular Enneagons, Regular Heptagons, Regular Hexagons, Equilateral Triangles, Plus Several Irregular Polygons

This has many more different polygons than most of my tessellations, so I’m including a color key.

  • Brown — convex octagons
  • Dark blue — regular hexagons
  • Green — narrow rhombi
  • Light blue — regular heptagons
  • Orange — medium-width rhombi
  • Pink — equilateral triangles
  • Purple — convex heptagons
  • Red — near-square wide rhombi
  • Yellow — regular enneagons (also called nonagons)

A Tessellation Featuring {8/3} Octagrams, Squares, and Pointed Crosses

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A Truncated Cube, Decorated With Tessellations

Using Stella 4d (available here), I put this tessellation on the octagonal faces of a truncated octahedron, while hiding the triangular faces. The tessellation itself was made using Geometer’s Sketchpad.

Tessellation Aitch

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A Chiral Tessellation of Sawblades and Equilateral Triangles

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A Chiral Tessellation of Large, Regular Hexagons and Small, Equilateral Triangles

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Tessellation of Regular Dodecagons, Concave Pentagons, and Rhombi

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Tessellation of Regular Dodecagons, Rhombi, and Darts

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If you like this, please look at the post immediately before this one, also — it’s what gave me the idea for the tessellation above.

Tessellation of Regular Octagons, Rhombi, and Darts

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The Great Cubicuboctahedron, and Some of Its Stellations

The last post here featured the small cubicuboctahedron (one of the uniform solids, a group of polyhedra I’m still learning), so naturally, next, I went looking for the great cubicuboctahedron. Here it is:

This polyhedron comes with a long and interesting stellation-series. I plucked out the ones I liked best, and they are shown below.

I made these virtual models using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.