h-net: hqc1257


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,3,3,3}
2D vertex symbol {5.8.8.5}{5.5.8}{8.8.8}{5.5.5}
Vertex coordination sequence [(4, 9, 18, 36, 65, 124, 236, 436, 831, 1560), (3, 8, 14, 29, 60, 109, 204, 383, 720, 1367), (3, 9, 21, 33, 63, 123, 228, 441, 813, 1527), (3, 6, 12, 21, 54, 105, 168, 339, 642, 1179)]
Delaney-Dress Symbol <1257.2:9:1 3 5 7 9,2 8 6 5 7 9,1 4 5 6 7 8 9:5 8,4 3 3 3>
Dual net hqc1061

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 sqc11712 P4232 208 cubic {4,3,3,3} 32 (4,4)
Full image sqc11711 I213 199 cubic {4,3,3,3} 32 (4,5)
Full image sqc11710 F-43m 216 cubic {4,3,3,3} 32 (4,4)

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 UQC4413 *2323 (4,4,2) {4,3,3,3} {5.8.8.5}{5.5.8}{8.8.8}{5.5.5} Snet sqc11712 Snet sqc11711 Snet sqc11710

Symmetry-lowered hyperbolic tilings