Pentadecagonal Mandalas On a Rotating Cuboctahedron

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Pentadecagonal Mandalas On a Rotating Cuboctahedron

Stella 4d, a program you may try for free at http://www.software3d.com/stella.php, was used to create this rotating image.

An Intermediate Form Between the Cuboctahedron and Its Dual, the Rhombic Dodecahedron

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An Intermediate Form Between the Cuboctahedron and Its Dual, the Rhombic Dodecahedron

There are many ways to make intermediate forms between dual polyhedra. This was made using the expansion method. The faces of the cuboctahedron (red and blue) were moved outward, as were the green faces of the rhombic dodecahedron, until the meeting of all possible vertices. The yellow rectangles were the spaces created between faces by this expansion.

(Software credit: see http://www.software3d.com/stella.php)

An Intermediate Form Between the Icosidodecahedron and Its Dual, the Rhombic Triacontahedron

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An Intermediate Form Between the Icosidodecahedron and Its Dual, the Rhombic Triacontahedron

There are many ways to make intermediate forms between dual polyhedra. This was made using the expansion method. The faces of the icosidodecahedron (red and blue) were moved outward, as were the green faces of the rhombic triacontahedron, until the meeting of all possible vertices. The yellow rectangles were the spaces created between faces by this expansion.

(Software credit: see http://www.software3d.com/stella.php)

Compound of Four Triangular Dipyramids

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Compound of Four Triangular Dipyramids

I found this using software you can try for free at http://www.software3d.com/stella.php. It’s one of the many stellations of the dual of the truncated octahedron.

Op Art On a Rhombic Enneacontahedron

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Op Art On a Rhombic Enneacontahedron

The rhombic enneacontahedron has 90 faces; 30 are narrow rhombi (hidden here), and 60 are wider rhombi (decorated with the op art piece from two posts ago).

Software credit: see the polyhedral software I used at http://www.software3d.com/stella.php — free trial download available.

The Great Rhombcuboctahedron

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The Great Rhombcuboctahedron

The images on the faces are colorized versions of my last post here. This transfer was accomplished using software you can find at http://www.software3d.com/stella.php.

Rhombic TriacontaSaturn

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Rhombic TriacontaSaturn

One of many photographs of Saturn provided by the Cassini spacecraft, and then projected onto the faces of a rhombic triacontahedron with the software available at http://www.software3d.com/stella.php.

Sol, Terra, and Luna On a Rhombicosidodecahedron

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Sol, Terra, and Luna On a Rhombicosidodecahedron

Projecting images on the sun, earth, and moon onto the faces of a rhombicosidodecahedron was accomplished with Stella 4d, software you may try for free at http://www.software3d.com/Stella.php.

Compound of Three Cubes and an Octahedron

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Compound of Three Cubes and an Octahedron

Software used: see http://www.software3d.com/stella.php.

Compound of the Tetrahedron and the Triakis Tetrahedron

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Compound of the Tetrahedron and the Triakis Tetrahedron

The triakis tetrahedron is the dual of the truncated tetrahedron.

Software used: see http://www.software3d.com/stella.php.