h-net: hqc322


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(3,2,2)
Vertex degrees{8,3,4}
2D vertex symbol {8.16.8.16.8.16.8.16}{8.16.16}{16.16.16.16}
Vertex coordination sequence [(8, 16, 80, 156, 864, 1704, 9096, 17864, 96536), (3, 17, 34, 181, 355, 1920, 3777, 20323, 39946), (4, 8, 56, 112, 556, 1084, 6012, 11852, 63248)]
Delaney-Dress Symbol <322.2:6:2 4 6,1 2 3 5 6,3 4 5 6:8 16,8 3 4>
Dual net hqc237

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 sqc925 dnq P-4m2 115 tetragonal {8,3,4} 6 (3,2)
Full image sqc929 eft P4/mmm 123 tetragonal {8,3,4} 6 (3,2)
Full image sqc948 I-42m 121 tetragonal {8,3,4} 6 (3,3)
Full image sqc886 I-4m2 119 tetragonal {8,3,4} 6 (3,2)

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 UQC3316 *4444 (3,2,2) {8,3,4} {8.16.8.16.8.16.8.16}{8.16.16}{1... Snet sqc929 Snet sqc948 No s‑net
Tiling details UQC3317 *4444 (3,2,2) {8,3,4} {8.16.8.16.8.16.8.16}{8.16.16}{1... Snet sqc925 Snet sqc948 Snet sqc886

Symmetry-lowered hyperbolic tilings