h-net: hqc24


Topological data

Orbifold symbol*24(12)
Transitivity (vertex, edge, ring)(1,1,2)
Vertex degrees{4}
2D vertex symbol {4.12.4.12}
Vertex coordination sequence [(4, 10, 24, 58, 140, 336, 804, 1926, 4616, 11062)]
Delaney-Dress Symbol <24.1:2:1 2,1 2,2:4 12,4>
Dual net hqc27

Derived s-nets

s-nets with faithful topology

7 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 sqc942 mot-e P4/mmm 123 tetragonal {4,4} 6 (2,2)
Full image sqc970 sod Im-3m 229 cubic {4} 6 (1,1)
Full image sqc5262 I41/a 88 tetragonal {4,4} 12 (2,3)
Full image sqc5567 I-42d 122 tetragonal {4,4} 12 (2,3)
Full image sqc5577 R-3c 167 rhombohedral {4,4} 12 (2,2)
Full image sqc5263 I41/amd 141 tetragonal {4,4} 12 (2,2)

s-nets with edge collapse

No items to display.

Derived U-tilings

3 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC48 *2626 (1,4,4) {4} {4.12.4.12} Snet sqc970 Snet sqc5577 Snet sqc970
Tiling details UQC477 *2244b (2,2,3) {4,4} {4.12.4.12}{12.4.12.4} Snet sqc942 Snet sqc5262 Snet sqc5263
Tiling details UQC478 *2244a (2,2,3) {4,4} {4.12.4.12}{12.4.12.4} No s‑net Snet sqc5567 Snet sqc942

Symmetry-lowered hyperbolic tilings