Catalan Solids

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Rhombic Dodecahedron
Vertices:  14  (8[3] + 6[4])
Faces:12  (rhombi)
Edges:24  (equal length)
Symmetry:  Full Octahedral  (Oh)
Dihedral Angle:  acos(−1/2)    120 degrees
Dual Solid:  Cuboctahedron
(values below based on unit-edge-length Cuboctahedron)
Edge Length:  3*sqrt(6)/8    ≈0.91855865354369178682
Rhombus Length:  3/21.5
Rhombus Width:  3*sqrt(2)/4    ≈1.0606601717798212866
[3]-Vertex Radius (8):  3*sqrt(6)/8    ≈0.91855865354369178682
[4]-Vertex Radius (6):  3*sqrt(2)/4    ≈1.0606601717798212866
Edge-scribed Radius:  sqrt(3)/2    ≈0.86602540378443864676
Inscribed Radius:  3/40.75
Volume:27*sqrt(2)/16    ≈2.3864853865045978949


References:[1]Johannes Kepler, Strena Seu de Nive Sexangula
[A New Year's Gift of Hexagonal Snow] (1611).
[2]Johannes Kepler, translated by Colin Hardie,
The Six-Cornered Snowflake. Oxford: Clarendon Press (1966).
[3]Eugène Catalan, Mémoire sur la Théorie des Polyèdres,
Journal de l'École polytechnique 41 (1865), 1-71, +7 plates.