h-net: hqc1562


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{4,4,12,4,4}
2D vertex symbol {4.4.4.4}{4.6.6.4}{4.6.6.4.6.6.4.6.6.4.6.6}{6.6.6.6}{6.6.6.6}
Vertex coordination sequence [(4, 8, 52, 136, 1012, 2560, 18732, 47592), (4, 26, 66, 490, 1244, 9108, 23128, 169526), (12, 32, 236, 600, 4396, 11160, 81796), (4, 12, 88, 220, 1612, 4104, 30084, 76356), (4, 44, 112, 804, 2044, 15008, 38100, 279196)]
Delaney-Dress Symbol <1562.2:10:2 4 6 8 10,1 3 4 7 9 8 10,1 2 5 6 7 8 9 10:4 6,4 4 12 4 4>
Dual net hqc1437

Derived s-nets

s-nets with faithful topology

4 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 sqc3348 P4/mmm 123 tetragonal {4,4,12,4,4} 8 (5,4)
Full image sqc3319 I-4 82 tetragonal {4,4,12,4,4} 8 (5,5)
Full image sqc3317 I-4m2 119 tetragonal {4,4,12,4,4} 8 (5,4)
Full image sqc3444 I4/mmm 139 tetragonal {4,4,12,4} 8 (4,3)

s-nets with edge collapse


Derived U-tilings

2 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC5257 *4444 (5,4,2) {4,4,12,4,4} {4.4.4.4}{4.6.6.4}{4.6.6.4.6.6.4... Snet sqc3348 Snet sqc3319 Snet sqc3317
Tiling details UQC5258 *4444 (5,4,2) {4,4,12,4,4} {4.4.4.4}{4.6.6.4}{4.6.6.4.6.6.4... Snet sqc2226 Snet sqc3319 Snet sqc3444

Symmetry-lowered hyperbolic tilings