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Platonic solid
https://en.wikipedia.org/wiki/Platonic_solid

In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent)

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Platonic Solid -- from Wolfram MathWorld
https://mathworld.wolfram.com/PlatonicSolid.html

The Platonic solids, also called the regular solids or regular polyhedra, are with equivalent faces composed of congruent . There are exactly five such solids (Steinhaus 1999, pp. 252-256): the , and , as was proved by Euclid in the last proposition of th

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Sixth Platonic solid
https://math.stackexchange.com/questions/298937

Sixth Platonic solid A Sixth Platonic solid? [1] Wouldn't gluing a tetrahedron's one triangle to a another tetrahedron's triangle make a platonic solid ? See the picture to see clearly what I mean. Tetrahedron stacked one on each makes an another solid wi

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Platonic solid | Platonic Realms
https://platonicrealms.com/encyclopedia/Platonic-solid

The so-called Platonic Solids are convex regular polyhedra. “Polyhedra” is a Greek word meaning “many faces.” There are five of these, and they are characterized by the fact that each face is a regular , that is, a straight-sided figure with equal sides a

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Construct a Trigonal Trapezahedron from another platonic solid
https://math.stackexchange.com/questions/2975088

Construct a Trigonal Trapezahedron from another platonic solid Looking into the Tetartoid, which is a version of the Dodecahedron where all pentagons are not regular, described in the answer by Aretino here is a way to construct it from a Tetrahedron. Sim

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How many combinations are possible when rolling all Platonic solid dice?
https://math.stackexchange.com/questions/2580107

How many combinations are possible when rolling all Platonic solid dice? I bought a set of five platonic solid dice and I'm wondering how many combinations exist if you roll them all at once. Thanks for your help Platonic solid dice are: 4, 6, 8, 12, 20 s

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What does "orientation" of a platonic solid really mean?
https://math.stackexchange.com/questions/3664514

What does "orientation" of a platonic solid really mean? Is there any rigorous definition of "orientation" of a platonic solid? Lots of books mention that the whole group of symmetries of platonic solids consists of rotations composed with reflections, bu

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VTK: How to color a platonic solid
https://www.stackoverflow.com/questions/29099650

VTK: How to color a platonic solid While drawing an icosahedron (icosahedron->SetSolidTypeToIcosahedron(); ) with VTK, I came to a point where I would like to draw it in various colours. I have tried: icosahedronActor->GetProperty()->SetColor(1,0,0); rend

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Are there molecules that take the shape of every platonic solid?
https://chemistry.stackexchange.com/questions/83082

Are there molecules that take the shape of every platonic solid? Methane is the simplest molecule I know of that takes the shape of a platonic solid — in this case, the tetrahedron. Wikipedia has a page on platonic hydrocarbons that includes molecules wit

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Edge based platonic solid origami
https://crafts.stackexchange.com/questions/10435

Edge based platonic solid origami A while ago I made a few origami platonic solids based on this video: https://m.youtube.com/watch?v=TV7sbaffuNo I managed to find a way to modify the module to work for other platonic solids and not just the dodecahedron.

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bm25-flags: 5.915099162442442
verbatim: 13.545177459716797
proximity: 0.0
firstPosition: 1.118033988749895
documentBonus
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documentLengthPenalty: -2.0
qualityPenalty: -0.6666666666666666
rankingBonus: 0.0
connectivityPenalty: 0.0
topologyBonus: 0.0
temporalBias: 0.0
flagsPenalty: -2.0
meta
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counts: [5.5, 3.5, 2.0, 0.0]
regularMask: {0, 1, 2}
ngramMask: {3}
documentParam
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asl: 3
quality: 10
size: 10000
topology: 0
doc
docId: 1413147990689508
combinedId: 9080669996769609444
conectivity: UNKNOWN
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meta
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flags
rawEncoded: 1
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positions
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title: 4
body: 9
verbatim
title: true
body: true
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flags
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positions
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body: 20,43
verbatim
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verbatim
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flags
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verbatim
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