Tag Archives: great

A Compound of the Great Stellated Dodecahedron and the Great Dodecahedron

In the picture above, each component of this compound has its own color. In the one below, each set of parallel faces is given a color of its own. These images were made using Stella 4d, software you may try … Continue reading

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Three Versions of a Compound of the Great and Small Stellated Dodecahedra

In the first version of this compound shown here, the great stellated dodecahedron is shown in yellow, while the small stellated dodecahedron is shown in red. In the next version, each face has its own color, except for those in … Continue reading

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Augmenting the Dodecahedron with Great Dodecahedra

These two polyhedra are the dodecahedron (left), and the great dodecahedron (right). Since the faces of both of these polyhedra are regular pentagons, it is possible to augment each of the dodecahedron’s twelve faces with a great dodecahedron. Here is … Continue reading

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Augmenting the Icosahedron with Great Icosahedra

These two polyhedra are the icosahedron (left), and the great icosahedron (right).   Since the faces of both of these polyhedra are equilateral triangles, it is possible to augment each of the icosahedron’s twenty faces with a great icosahedron. Here … Continue reading

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Icosahedral Cluster

The great icosahedron, one of the Kepler-Poinsot solids, is hidden from view at the center of this cluster. Each of its faces is augmented with a Platonic icosahedron, producing what you see here. Stella 4d is the software I used; … Continue reading

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A Faceted Great Rhombcuboctahedron

Some prefer to call the great rhombcuboctahedron the “truncated cuboctahedron,” instead. Whichever term you prefer, this is a faceted version of that Archimedean solid. I made it using Stella 4d: Polyhedron Navigator, software you may find here.

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Unsquashing the Squashed Meta-Great-Rhombcuboctahedron

I noticed that I could arrange eight great rhombcuboctahedra into a ring, but that ring, rather than being regular, resembled an ellipse. I then made a ring of four of these elliptical rings. After that, I added a few more … Continue reading

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