This is a modification of the well-known tessellation of the plane with squares and regular octagons.

# Tag Archives: geometric

# Sixteen {7/2} Star Heptagons

Two of the heptagrams are centered in the middle, while the other fourteen are smaller, and form a ring around the two in the center.

# Ten Pentagrams

The ten pentagrams meet at a common vertex in the center.

# Fourteen Heptagrams

The fourteen heptagrams, also known as {7/3} star heptagons, meet at a common vertex in the center of the whole diagram. I did the math using *Geometer’s Sketchpad*, and then colored the result using *MS-Paint*.

## Golden Triangles and Golden Gnomons

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## Circles, Triangles, and a Pentagon

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# Spectral Icosahedra

*Stella 4d: Polyhedron Navigator* has a “put models on vertices” function which I used to build this cluster of 61 icosahedra. If you’d like to try this software for yourself, there is a free trial download available at http://www.software3d.com/Stella.php.

# Spectral Cubes

*Stella 4d: Polyhedron Navigator* has a “put models on vertices” function which I used to build this cluster of cubes. If you’d like to try this software for yourself, there is a free trial download available at http://www.software3d.com/Stella.php.

# Spectral Dodecahedra

*Stella 4d: Polyhedron Navigator* has a “put models on vertices” function which I used to build this cluster of 101 dodecahedra. If you’d like to try this software for yourself, there is a free trial download available at http://www.software3d.com/Stella.php.

# Spectral Octahedra

*Stella 4d: Polyhedron Navigator* has a “put models on vertices” function which I used to build this complex of octahedra. If you’d like to try this software for yourself, there is a free trial version available at http://www.software3d.com/Stella.php.