h-net: hqc97


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(3,2,1)
Vertex degrees{3,8,4}
2D vertex symbol {4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(3, 18, 24, 126, 165, 864, 1131, 5922, 7752, 40590), (8, 12, 64, 84, 440, 576, 3016, 3948, 20672, 27060), (4, 24, 32, 168, 220, 1152, 1508, 7896, 10336, 54120)]
Delaney-Dress Symbol <97.1:4:2 4,1 3 4,1 2 3 4:4,3 8 4>
Dual net hqc54

Derived s-nets

s-nets with faithful topology

6 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 sqc10927 P4/nmm 129 tetragonal {4,8,3,4,8} 20 (5,5)
Full image sqc10994 epr Pm-3n 223 cubic {4,8,3} 20 (3,2)
Full image sqc10923 I41/a 88 tetragonal {4,8,3,4,8} 20 (5,6)
Full image sqc11004 I-43d 220 cubic {4,8,3} 20 (3,2)
Full image sqc5359 P-43m 215 cubic {8,3,4} 10 (3,2)
Full image sqc10926 I41/amd 141 tetragonal {4,8,3,4,8} 20 (5,5)

s-nets with edge collapse

No items to display.

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 UQC67 *344 (3,2,1) {3,8,4} {4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4} Snet sqc10994 Snet sqc11004 Snet sqc5359
Tiling details UQC5427 *2244b (5,5,2) {4,8,3,4,8} {4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4... Snet sqc10927 Snet sqc10923 Snet sqc10926

Symmetry-lowered hyperbolic tilings