h-net: hqc1953


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{4,4}
2D vertex symbol {8.16.3.8}{3.16.4.16}
Vertex coordination sequence [(4, 9, 22, 56, 135, 314, 744, 1786, 4283, 10210), (4, 10, 25, 58, 138, 332, 796, 1894, 4514, 10767)]
Delaney-Dress Symbol <1953.2:12:1 2 3 4 5 7 9 10 11 12,2 4 6 7 10 11 12,3 10 5 8 9 12:8 8 3 16 4,4 4>
Dual net hqc2071

Derived s-nets

s-nets with faithful topology

6 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 sqc5211 P-4m2 115 tetragonal {4,4} 12 (2,5)
Full image sqc5501 P-4m2 115 tetragonal {4,4} 12 (2,5)
Full image sqc5210 I-4 82 tetragonal {4,4,4} 12 (3,6)
Full image sqc5500 I-4 82 tetragonal {4,4,4} 12 (3,6)
Full image sqc5255 I-4m2 119 tetragonal {4,4} 12 (2,5)
Full image sqc5502 I-4m2 119 tetragonal {4,4} 12 (2,5)

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 UQC2607 *4444 (2,5,5) {4,4} {8.16.3.8}{3.16.4.16} Snet sqc5211 Snet sqc5210 Snet sqc5255
Tiling details UQC2608 *4444 (2,5,5) {4,4} {8.16.3.8}{3.16.4.16} Snet sqc5501 Snet sqc5500 Snet sqc5502

Symmetry-lowered hyperbolic tilings