h-net: hqc572


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{7,4}
2D vertex symbol {4.8.8.3.3.8.8}{3.3.3.3}
Vertex coordination sequence [(4, 16, 92, 396, 1864, 8560, 39516, 182172), (7, 32, 149, 688, 3171, 14624, 67441)]
Delaney-Dress Symbol <572.2:8:1 2 3 4 5 6 8,1 3 5 7 8,2 4 6 7 8:4 8 8 3,7 4>
Dual net hqc747

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 sqc1682 P4/mmm 123 tetragonal {7,4} 5 (2,4)
Full image sqc1683 I-4 82 tetragonal {4,7} 5 (2,4)
Full image sqc1925 I-4 82 tetragonal {4,7} 5 (2,4)
Full image sqc1716 I-4m2 119 tetragonal {4,7} 5 (2,4)
Full image sqc1858 I4/mmm 139 tetragonal {4,7} 5 (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 UQC1339 *4444 (2,4,4) {7,4} {4.8.8.3.3.8.8}{3.3.3.3} Snet sqc1682 Snet sqc1683 Snet sqc1716
Tiling details UQC1340 *4444 (2,4,4) {7,4} {4.8.8.3.3.8.8}{3.3.3.3} Snet sqc1352 Snet sqc1925 Snet sqc1858

Symmetry-lowered hyperbolic tilings