h-net: hqc1878


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,4,3,3,3}
2D vertex symbol {7.7.7.7}{7.7.7.7}{7.4.7}{7.4.4}{4.4.4}
Vertex coordination sequence [(4, 12, 32, 68, 124, 256, 508, 996, 1972, 3892), (4, 10, 24, 48, 102, 198, 392, 784, 1544, 3058), (3, 6, 11, 23, 51, 110, 209, 422, 834, 1651), (3, 4, 7, 15, 35, 75, 156, 298, 602, 1187), (3, 3, 3, 9, 18, 45, 90, 183, 357, 723)]
Delaney-Dress Symbol <1878.2:11:1 3 5 7 9 11,2 4 6 7 8 10 11,1 2 3 4 5 8 9 10 11:7 4,4 4 3 3 3>
Dual net hqc1620

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 sqc14152 Pm-3m 221 cubic {4,4,3,3,3} 80 (5,5)
Full image sqc14144 I4132 214 cubic {4,4,3,3,3} 80 (5,6)
Full image sqc12474 P4232 208 cubic {3,4,3,3,4} 40 (5,5)

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 UQC5286 *2223 (5,5,2) {4,4,3,3,3} {7.7.7.7}{7.7.7.7}{7.4.7}{7.4.4}... Snet sqc14152 Snet sqc14144 Snet sqc12474

Symmetry-lowered hyperbolic tilings