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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 Compound of the Pentagonal Hexecontahedron and Its Mirror Image

This is a compound of left- and right-handed versions of the chiral Catalan solid known as the pentagonal hexecontahedron, which is the dual of the snub dodecahedron. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

A Compound of the Pentagonal Icositetrahedron and Its Mirror Image

This is a compound of left- and right-handed versions of the chiral Catalan solid known as the pentagonal icositetrahedron, which is the dual of the snub cube. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

A Compound of Four Flattened Rhombohedra

I made this using Stella 4d, a program you can try for free at http://www.software3d.com/Stella.php.

A Compound of Three Flattened Tetrahedra

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

Three Compounds from the Stellation-Series of the Triakis Octahedron

The first solid below is the sixth stellation of the triakis octahedron, one of the Catalan solids. It’s also a compound of three square trapezohedra.

The next solid is the 8th stellation of the triakis octahedron, and it’s also a four-part compound of partial cubes.

Finally, here’s the 18th stellation of the triakis octahedron, which is also a compound of six square-based pyramids.

Two Views of a Wrinkled Octahedron

The image above has faces colored by number of sides, while the one below is in “rainbow color mode.” I made these using Stella 4d, which you may try for free at http://www.software3d.com/Stella.php.

Abraham Lincoln, on Elections

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A Compound of Four Hexagonal Prisms

I made this by faceting a great rhombicuboctahedron, using Stella 4d, a program you may try for free at this website: http://www.software3d.com/Stella.php.

A 98-Faced Polyhedron

This polyhedron has fourteen regular faces: six squares, and eight hexagons. Its irregular faces include twelve rhombi, 24 obtuse isosceles triangles, and 48 acute scalene triangles, for a total of 98 faces. It has cuboctahedral symmetry. I made it using Stella 4d, a program you may try for free at http://www.software3d.com/Stella.php. The first image shown here has the faces colored by face type, while the second image shows what it looks like in “rainbow color mode.”

Here’s a third one, with the faces colored by number of sides.

An Aperiodic Tiling of Golden Triangles and Golden Gnomons

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