Snub Dodecahedron - Related Polyhedra and Tilings

Related Polyhedra and Tilings

This semiregular polyhedron is a member of a sequence of snubbed polyhedra and tilings with vertex figure (3.3.3.3.n) and Coxeter–Dynkin diagram . These figures and their duals have (n32) rotational symmetry, being in the Euclidean plane for n=6, and hyperbolic plane for any higher n. The series can be considered to begin with n=2, with one set of faces degenerated into digons.

Symmetry 232
+
D3		 332
+
T		 432
+
O		 532
+
I		 632
+
P6		 732
+		 832
+
Order 6 12 24 60 ∞
Snub
figure
3.3.3.3.2
3.3.3.3.3
3.3.3.3.4
3.3.3.3.5
3.3.3.3.6
3.3.3.3.7
3.3.3.3.8
Coxeter
Schläfli
s{2,3}
s{3,3}
s{4,3}
s{5,3}
s{6,3}
s{7,3}
s{8,3}
Snub
dual
figure
V3.3.3.3.2
V3.3.3.3.3
V3.3.3.3.4
V3.3.3.3.5
V3.3.3.3.6
V3.3.3.3.7
Coxeter

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