sioyund effect asmr
39 views · Published 9 November 2018 · 1:09 · Indexed 11 October 2026
Channel: INFACT NOT INFEKT · 2018 · Science & Technology
Rhombicosidodecahedron
Rhombicosidodecahedron.jpg
(Click here for rotating model)
Type Archimedean solid
Uniform polyhedron
Elements F = 62, E = 120, V = 60 (χ = 2)
Faces by sides 20{3}+30{4}+12{5}
Conway notation eD or aaD
Schläfli symbols rr{5,3} or {\displaystyle r{\begin{Bmatrix}5\\3\end{Bmatrix}}} r{\begin{Bmatrix}5\\3\end{Bmatrix}}
t0,2{5,3}
Wythoff symbol 3 5 | 2
Coxeter diagram CDel node 1.pngCDel 5.pngCDel node.pngCDel 3.pngCDel node 1.png
Symmetry group Ih, H3, [5,3], (*532), order 120
Rotation group I, [5,3]+, (532), order 60
Dihedral angle 3-4: 159°05′41″ (159.09°)
4-5: 148°16′57″ (148.28°)
References U27, C30, W14
Properties Semiregular convex
Polyhedron small rhombi 12-20 max.png
Colored faces Small rhombicosidodecahedron vertfig.png
3.4.5.4
(Vertex figure)
Polyhedron small rhombi 12-20 dual max.png
Deltoidal hexecontahedron
(dual polyhedron) Polyhedron small rhombi 12-20 net.svg
Net
In geometry, the rhombicosidodecahedron, or small rhombicosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces.
It has 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, 60 vertices, and 120 edges.
