h-net: hqc1323


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(2,4,5)
Vertex degrees{6,4}
2D vertex symbol {4.8.12.3.12.8}{12.3.4.3}
Vertex coordination sequence [(4, 11, 46, 174, 576, 1957, 6826, 23663, 81562), (6, 23, 77, 262, 914, 3166, 10913, 37677, 130196)]
Delaney-Dress Symbol <1323.2:10:1 2 3 4 6 8 9 10,1 3 5 6 7 9 10,2 4 7 8 10:4 8 12 3 4,6 4>
Dual net hqc1546

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 sqc3239 P4/mmm 123 tetragonal {4,6} 8 (2,4)
Full image sqc3246 I-4 82 tetragonal {4,6} 8 (2,5)
Full image sqc3577 I-4 82 tetragonal {4,6} 8 (2,5)
Full image sqc3732 I4/mmm 139 tetragonal {4,6} 8 (2,4)
Full image sqc3800 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 UQC2404 *4444 (2,4,5) {6,4} {4.8.12.3.12.8}{12.3.4.3} Snet sqc3239 Snet sqc3246 Snet sqc3800
Tiling details UQC2405 *4444 (2,4,5) {6,4} {4.8.12.3.12.8}{12.3.4.3} Snet sqc3001 Snet sqc3577 Snet sqc3732

Symmetry-lowered hyperbolic tilings