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Tag Archives: great
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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Tagged augment, augmentation, augmented, dodecahedra, dodecahedron, geometry, great, Mathematics, polyhedra, polyhedron
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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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Tagged augment, augmentation, augmented, geometry, great, icosahedra, isocahedron, Mathematics, polyhedra, polyhedron
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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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Tagged cluster, geometry, great, icosahedron, Mathematics, polyhedra, polyhedral, polyhedron
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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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Tagged faceted, geometry, great, Mathematics, polyhedra, polyhedron, rhombcuboctahedron, truncated cuboctahedron
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Four Different Facetings of the Great Rhombcuboctahedron
All four of these rotating images were created using software called Stella 4d: Polyhedron Navigator. You can buy this program, or try it for free, at this website. Faceting is the inverse function of stellation, and involves connecting the vertices … Continue reading
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Tagged facet, faceted, faceting, geometry, great, icosidodecahedron, Mathematics, polyhedra, polyhedron, rhombcuboctahedron, rhombicuboctahedron, truncated
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Compound of the Great and Small Stellated Dodecahedra
In this compound, as shown above, the small stellated dodecahedron is yellow, while the red polyhedron is the great stellated dodecahedron. Below, the same compound is colored differently; each face has its own color, unless faces are in parallel planes, … Continue reading
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Tagged compound, geometry, great, Mathematics, polyhedra, polyhedron, small, Stella, stellated dodecahedra, stellated dodecahedron
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