h-net: hqc1564


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{4,4,3,4,4}
2D vertex symbol {4.4.4.4}{4.24.24.4}{4.24.24}{24.24.24.24}{24.24.24.24}
Vertex coordination sequence [(4, 8, 16, 48, 84, 192, 396, 1080, 1992, 4896), (4, 8, 20, 38, 96, 186, 480, 912, 2304, 4434), (3, 8, 16, 42, 79, 198, 381, 972, 1866, 4770), (4, 12, 20, 44, 92, 252, 468, 1164, 2244, 5724), (4, 8, 20, 40, 108, 196, 468, 936, 2484, 4656)]
Delaney-Dress Symbol <1564.2:10:2 4 6 8 10,1 3 4 7 9 8 10,1 2 5 6 7 8 9 10:4 24,4 4 3 4 4>
Dual net hqc1435

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 sqc3862 P-4m2 115 tetragonal {4,4,3,4,4} 11 (5,4)
Full image sqc3889 P-4m2 115 tetragonal {4,4,3,4,4} 11 (5,4)
Full image sqc3870 I-4 82 tetragonal {4,4,3,4,4} 11 (5,5)
Full image sqc3872 I-4m2 119 tetragonal {4,4,3,4,4} 11 (5,4)
Full image sqc3892 I-4m2 119 tetragonal {4,4,3,4,4} 11 (5,4)

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 UQC5261 *4444 (5,4,2) {4,4,3,4,4} {4.4.4.4}{4.24.24.4}{4.24.24}{24... Snet sqc3889 Snet sqc3870 Snet sqc3872
Tiling details UQC5262 *4444 (5,4,2) {4,4,3,4,4} {4.4.4.4}{4.24.24.4}{4.24.24}{24... Snet sqc3862 Snet sqc3870 Snet sqc3892

Symmetry-lowered hyperbolic tilings