h-net: hqc1571


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,9,8}
2D vertex symbol {4.4.4.4}{4.3.3.4}{4.3.3.4.3.3.4.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 8, 32, 80, 172, 416, 884, 2160, 4576, 11184), (4, 18, 38, 102, 210, 528, 1086, 2730, 5624, 14142), (9, 18, 60, 102, 315, 528, 1629, 2730, 8436, 14142), (8, 28, 48, 148, 248, 768, 1288, 3980, 6672, 20612)]
Delaney-Dress Symbol <1571.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,4 4 9 8>
Dual net hqc1388

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 sqc13851 Pm-3n 223 cubic {4,4,9,8} 44 (4,4)
Full image sqc13850 I-43d 220 cubic {4,4,9,8} 44 (4,5)
Full image sqc12123 P-43m 215 cubic {4,4,9,8} 22 (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 UQC4713 *344 (4,4,2) {4,4,9,8} {4.4.4.4}{4.3.3.4}{4.3.3.4.3.3.4... Snet sqc13851 Snet sqc13850 Snet sqc12123

Symmetry-lowered hyperbolic tilings