h-net: hqc1322


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(2,4,5)
Vertex degrees{6,4}
2D vertex symbol {4.8.3.12.3.8}{3.12.4.12}
Vertex coordination sequence [(4, 13, 48, 164, 533, 1748, 5814, 19316, 63929), (6, 21, 68, 222, 740, 2463, 8150, 26958, 89298)]
Delaney-Dress Symbol <1322.2:10:1 2 3 4 6 8 9 10,1 3 5 6 7 9 10,2 4 7 8 10:4 8 3 12 4,6 4>
Dual net hqc1547

Derived s-nets

s-nets with faithful topology

5 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 sqc3196 P4/mmm 123 tetragonal {4,6} 8 (2,4)
Full image sqc3198 I-42m 121 tetragonal {4,6} 8 (2,5)
Full image sqc3565 I-42m 121 tetragonal {4,6} 8 (2,5)
Full image sqc3564 I-4m2 119 tetragonal {4,6} 8 (2,4)

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 UQC2402 *4444 (2,4,5) {6,4} {4.8.3.12.3.8}{3.12.4.12} Snet sqc3196 Snet sqc3198 No s‑net
Tiling details UQC2403 *4444 (2,4,5) {6,4} {4.8.3.12.3.8}{3.12.4.12} Snet sqc2998 Snet sqc3565 Snet sqc3564

Symmetry-lowered hyperbolic tilings