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Tag Archives: stellate
The 43rd Stellation of the Snub Dodecahedron, and Related Polyhedra, Part One
If you stellate the snub dodecahedron 43 times, this is the result. The yellow faces are kites, not rhombi. Like the snub dodecahedron itself, this polyhedron is chiral. Here is the mirrorimage of the polyhedron shown above. Any chiral polyhedron … Continue reading
Posted in Mathematics
Tagged chiral, compound, dual, geometry, Mathematics, polyhedra, polyhedron, stellate, stellation
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The 21st and 22nd Stellations of the Truncated Dodecahedron
Stellation of a polyhedron involves extending its faces and/or edges into space to form other polyhedra, often with a starlike appearance, which is where the words “stellation,” “stellate,” and “stellated” originate. (“Stella” is Latin for “star.”) Since this can be … Continue reading
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, star, stellate, stellated, stellation, truncated dodecahedron
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The Final Stellation of the Compound of Five Icosahedra
This was made using Stella 4d, software available at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged compound, final, five, geometry, icosahedra, Mathematics, polyhedra, polyhedron, stellate, stellated, stellation
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The Final Stellation of the Compound of Five Cubes
The version of the final stellation of the compound of five cubes shown above has its colors derived from the traditional fivecolor version of the original compound, itself. The one below, by contrast, has its colors selected by facetype, without … Continue reading
Posted in Mathematics
Tagged compound, final, five cubes, geometry, Mathematics, polyhedra, polyhedral, polyhedron, stellate, stellated, stellation
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A Polyhedral Journey, Beginning with the Snub Cube / Pentagonal Isositetrahedron Base/Dual Compound
The snub cube and its dual make an attractive compound. Since the snub cube is chiral, its chirality is preserved in this compound. If you examine the convex hull of this compound, you will find it to be chiral as … Continue reading
Posted in Mathematics
Tagged chiral, chirality, compound, convex hull, dual, geometry, Mathematics, pentagonal icositetrahedron, polyhedra, polyhedron, snub cube, stellate, stellation
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A Collection of Unusual Polyhedra
In the post directly before this one, the third image was an icosahedral cluster of icosahedra. Curious about what its convex hull would look like, I made it, and thereby saw the first polyhedron I have encountered which has 68 … Continue reading
Posted in Mathematics
Tagged convex hull, dual, geometry, Mathematics, polyhedra, polyhedron, stellate, stellation
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A Cluster of Nine Octahedra, and Related Polyhedra
If one starts with a central octahedron, then augments each of its eight triangular faces with identical octahedra, this is the result. It is then possible to augment each visible triangle of this cluster with yet more octahedra, which produces … Continue reading
Posted in Mathematics
Tagged augment, augmentation, cluster, convex hull, geometry, Mathematics, octahedra, octahedron, polyhedra, polyhedral, polyhedron, stellate, stellation
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