h-net: hqc186


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(2,3,3)
Vertex degrees{5,4}
2D vertex symbol {3.8.3.3.8}{3.3.3.3}
Vertex coordination sequence [(4, 8, 24, 40, 100, 172, 412, 740, 1652, 3192), (5, 11, 24, 52, 103, 213, 434, 887, 1809, 3700)]
Delaney-Dress Symbol <186.2:6:1 2 3 4 6,1 3 5 6,2 4 5 6:3 8 3,5 4>
Dual net hqc252

Derived s-nets

s-nets with faithful topology

3 records listed.
Image s-net name Other names Space group Space group number Symmetry class Vertex degree(s) Vertices per primitive unit cell Transitivity (Vertex, Edge)
Full image sqc12792 Pm-3n 223 cubic {4,5} 30 (2,3)
Full image sqc12781 I-43d 220 cubic {4,5} 30 (2,3)
Full image sqc9070 P-43m 215 cubic {5,4} 15 (2,3)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC431 *344 (2,3,3) {5,4} {3.8.3.3.8}{3.3.3.3} Snet sqc12792 Snet sqc12781 Snet sqc9070

Symmetry-lowered hyperbolic tilings