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 Augmenting the Octahedron with Octahedra, Repeatedly.
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Monthly Archives: April 2015
Sharp Impact
I made this using Stella 4d, which you can find here.
New “NearMiss” Candidate?
As a proposed new “nearmiss” to the Johnson solids, I created this polyhedron using Stella 4d, which can be found for purchase, or trial download, here. To make it, I started with a tetrahedron, augmented each face with icosidodecahedra, created the … Continue reading
Posted in Mathematics
Tagged discovery, geometry, Johnson solid, Mathematics, near missnearmiss, nearmiss, new, polyhedra, polyhedron, proposal, proposed
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A Faceting of the Truncated Dodecahedron, Together with Its Dual
This faceting of the truncated dodecahedron, one of many, was made with Stella 4d, software you can buy, or try for free, here. Here is its dual, below.
Posted in Mathematics
Tagged dual, facet, faceted, faceting, geometry, Mathematics, polyhedra, polyhedron, truncated dodecahedron
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Albert Einstein, on Morality
Posted in Life, Quotations, Religion, Science and Scientists
Tagged Albert Einstein, Einstein, ethics, evil, good, morality, pinishment, quotation, quote, reward
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On Consistent and Inconsistent Combining of Chiralities, Using Polyhedral Augmentation
For any given chiral polyhedron, a way already exists to combine it with its own mirrorimage — by creating a compound. However, using augmentation, rather than compounding, opens up new possibilities. The most wellknown chiral polyhedron is the snub cube. … Continue reading
Posted in Mathematics
Tagged chiral, chirality, cluster, consistency, consistent, geometry, inconsistent, Mathematics, polyehdra, polyhedral, polyhedron, reflection
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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
Posted in Mathematics
Tagged compound, geometry, great, Mathematics, polyhedra, polyhedron, small, Stella, stellated dodecahedra, stellated dodecahedron
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Two Different FortyPart Polyhedral Compounds
The polyhedron above is a compound of twenty cubes and twenty octahedra, colored by symmetrybased facetype. If the same compound is viewed in “rainbow color mode,” it looks like this: With this particular compound, though, there are two versions — … Continue reading
Posted in Mathematics
Tagged 20, 40, compound, cube, forty, geometry, Mathematics, octahedra, octahedron, polyhedra, polyhedral, polyhedron, twenty
3 Comments