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Tag Archives: Mathematics
The 43rd Stellation of the Snub Dodecahedron, and Related Polyhedra, Part Two
Just like I did in the first part of this two-part post, I’m starting with the snub dodecahedron’s 43rd stellation. This time, though, this polyhedral exploration is going in another direction. In the image below, the yellow kites seen above … Continue reading
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 mirror-image 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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Selected Stellations of the Truncated Dodecahedron
This is the truncated dodecahedron. It is one of the Archimedean solids. This polyhedron has a long stellation-series, from which I selected several on aesthetic grounds. The figure immediately below is the truncated dodecahedron’s 16th stellation. Here is the 21st … Continue reading
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron, stellated, stellation, truncated
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Nine Zonohedra
Software used to make these gifs: Stella 4d, available here.
Posted in Mathematics
Tagged geometry, Mathematics, polyhedra, polyhedron, zonohedra, zonohedron
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A Rhombic Dodecahedron, Made of Icosahedra, and Tall Triangular Antiprisms
Software used: Stella 4d, available at http://www.software3d.com/Stella.php.
Posted in Mathematics
Tagged dodecahedron, geometry, Mathematics, polyhedra, polyhedron, rhombic
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Honeycomb Made of Cuboctahedra and Octahedra
This is the three-dimensional version of what is called a tessellation in two dimensions. It fills space, and can be continued in all directions. Software used: Stella 4d, available here.
Posted in Mathematics
Tagged cuboctahedra, cuboctahedron, geometry, honeycomb, lattice, Mathematics, octahedra, octahedron, polyhedra, polyhedron
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Spectral Circles on a Cuboctahedron
I used three programs to make this: Geometer’s Sketchpad, MS-Paint, and Stella 4d. The third of these may be tried for free at http://www.software3d.com/Stella.php.
Posted in Art, Mathematics
Tagged Art, cuboctahedron, geometric, geometrical, geometry, mathematical, Mathematics, polyhedra, polyhedron
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