h-net: hqc1547


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{4,12,3,8,4}
2D vertex symbol {4.4.4.4}{4.6.4.4.6.4.4.6.4.4.6.4}{4.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6}
Vertex coordination sequence [(4, 40, 64, 528, 980, 8000, 15020, 122592), (12, 20, 168, 308, 2516, 4720, 38524, 72332), (3, 28, 50, 410, 767, 6260, 11753, 95930), (8, 20, 160, 308, 2512, 4720, 38528, 72332), (4, 28, 64, 516, 980, 8000, 15020, 122604)]
Delaney-Dress Symbol <1547.2:10:2 4 6 8 10,1 3 4 5 7 9 10,1 2 5 6 7 8 9 10:4 6,4 12 3 8 4>
Dual net hqc1322

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 sqc3461 P-4m2 115 tetragonal {4,12,3,8,4} 8 (5,4)
Full image sqc3318 I-4 82 tetragonal {4,12,3,8,4} 8 (5,5)
Full image sqc3320 I-4m2 119 tetragonal {4,12,3,8,4} 8 (5,4)

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 UQC5234 *4444 (5,4,2) {4,12,3,8,4} {4.4.4.4}{4.6.4.4.6.4.4.6.4.4.6.... Snet sqc1225 Snet sqc3318 No s‑net
Tiling details UQC5235 *4444 (5,4,2) {4,12,3,8,4} {4.4.4.4}{4.6.4.4.6.4.4.6.4.4.6.... Snet sqc3461 Snet sqc3318 Snet sqc3320

Symmetry-lowered hyperbolic tilings