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What is the name of convex polyhedra with congruent faces of regular polygons?

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#polyhedra #platonic-solids
202
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Is the adjective 'regular' necessary in the definition of Platonic solids?

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#polyhedra #platonic-solids
348
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How does the existence of Platonic graphs imply the existence of Platonic solids?

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#polyhedra #platonic-solids
940
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Relationship between the side lengths of a tetrahedron and an inscribed tetrahedron with vertices at the centroids

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#euclidean-geometry #geometry #platonic-solids
534
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Bisecting line segments in a tetrahedron.

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#euclidean-geometry #geometry #platonic-solids
209
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Efficient construction of a dodecahedron

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#general-topology #geometry #platonic-solids
823
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Surface area of platonic solids inscribed in unit sphere.

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#geometry #platonic-solids
1.7k
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How to design/shape a polyhedron to be nearly spherically symmetrical, but not a platonic solid?

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#geometry #platonic-solids
122
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Is a solid from 32 congruent regular triangles a Platonic solid?

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#platonic-solids
435
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Polyhedral symmetry in the Riemann sphere

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#symmetry #constants #platonic-solids #riemann-sphere
78
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Winding the faces of a platonic solid?

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#calculus #geometry #algorithms #platonic-solids
263
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Minimal definition of a Platonic Solid

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#geometry #3d #platonic-solids
204
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Why don't Archimedean solids give finite subgroups of $SO(3,\Bbb R)$?

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#group-theory #finite-groups #symmetric-groups #polyhedra #platonic-solids
271
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Irregular octahedron, find vertices from lengths

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#geometry #platonic-solids
2.6k
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Rotation of a regular tetrahedron

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#linear-algebra #geometry #euclidean-geometry #linear-transformations #platonic-solids

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