h-net: hqc871


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(4,3,2)
Vertex degrees{8,3,8,4}
2D vertex symbol {8.6.8.6.8.6.8.6}{8.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6}
Vertex coordination sequence [(8, 16, 108, 228, 1512, 3228, 21384, 45620), (3, 21, 44, 293, 623, 4128, 8809, 58355), (8, 20, 132, 284, 1880, 4008, 26552, 56628), (4, 28, 64, 420, 900, 5960, 12700, 84140)]
Delaney-Dress Symbol <871.2:8:2 4 6 8,1 2 3 5 7 8,3 4 5 6 7 8:8 6,8 3 8 4>
Dual net hqc601

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 sqc1976 P-4m2 115 tetragonal {8,3,8,4} 7 (4,3)
Full image sqc1834 I-4 82 tetragonal {8,3,8,4} 7 (4,4)
Full image sqc1835 I-4m2 119 tetragonal {8,3,8,4} 7 (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 UQC4202 *4444 (4,3,2) {8,3,8,4} {8.6.8.6.8.6.8.6}{8.6.6}{6.6.6.6... Snet sqc1108 Snet sqc1834 No s‑net
Tiling details UQC4203 *4444 (4,3,2) {8,3,8,4} {8.6.8.6.8.6.8.6}{8.6.6}{6.6.6.6... Snet sqc1976 Snet sqc1834 Snet sqc1835

Symmetry-lowered hyperbolic tilings