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Regular dodecahedron
(Click here for rotating model)
Type
Platonic solid
Elements
F = 12, E = 30 V = 20 (χ = 2)
Faces by sides
12{5}
Conway notation
D
Schläfli symbols
{5,3}
Face configuration
V3.3.3.3.3
Wythoff symbol
3 | 2 5
Coxeter diagram
Symmetry
Ih, H3, [5,3], (*532)
Rotation group
I, [5,3]+, (532)
References
U23, C26, W5
Properties
regular, convex
Dihedral angle
116.56505° = arccos(−1⁄√5)
5.5.5 (Vertex figure)
Regular icosahedron (dual polyhedron)
Net
Animation of a net of a regular (pentagonal) dodecahedron being folded3D model of a regular dodecahedronCrystal structure of Co20L12 dodecahedron reported by Kai Wu, Jonathan Nitschke and co-workers at University of Cambridge in Nat. Synth.2023, DOI:10.1038/s44160-023-00276-9[1]
A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of 12 regular pentagonal faces, three meeting at each vertex. It is one of the five Platonic solids. It has 12 faces, 20 vertices, 30 edges, and 160 diagonals (60 face diagonals, 100 space diagonals).[2] It is represented by the Schläfli symbol {5,3}.
^Cite error: The named reference WuKai2023-15 was invoked but never defined (see the help page).
^Sutton, Daud (2002), Platonic & Archimedean Solids, Wooden Books, Bloomsbury Publishing USA, p. 55, ISBN 9780802713865.
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