h-net: hqc1931


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{4,8}
2D vertex symbol {4.4.3.4}{3.4.3.4.3.4.3.4}
Vertex coordination sequence [(8, 28, 66, 144, 326, 738, 1656, 3720, 8370, 18826), (4, 11, 32, 84, 194, 434, 977, 2199, 4942, 11113)]
Delaney-Dress Symbol <1931.2:12:1 2 3 4 5 7 9 10 11 12,2 4 6 7 10 11 12,3 10 5 8 9 12:4 4 3 4 3,4 8>
Dual net hqc2078

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 sqc14189 Pm-3m 221 cubic {8,4} 60 (2,5)
Full image sqc14190 I4132 214 cubic {8,4,4} 60 (3,6)
Full image sqc12671 P4232 208 cubic {4,8} 30 (2,5)

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 UQC2572 *2223 (2,5,5) {8,4} {4.4.3.4}{3.4.3.4.3.4.3.4} Snet sqc14189 Snet sqc14190 Snet sqc12671

Symmetry-lowered hyperbolic tilings