h-net: hqc1520


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,6,4,8}
2D vertex symbol {4.4.4}{4.4.4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(3, 10, 27, 71, 164, 420, 956, 2448, 5572, 14268), (6, 16, 42, 96, 246, 560, 1434, 3264, 8358, 19024), (4, 14, 40, 96, 246, 560, 1434, 3264, 8358, 19024), (8, 24, 56, 144, 328, 840, 1912, 4896, 11144, 28536)]
Delaney-Dress Symbol <1520.2:10:2 4 6 8 10,1 2 5 10 7 9,3 4 5 6 7 8 9 10:4 4,3 6 4 8>
Dual net hqc1298

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 sqc9741 I4/mmm 139 tetragonal {3,4,8,6} 18 (4,4)
Full image sqc9742 I4/mmm 139 tetragonal {3,6,8,4} 18 (4,4)
Full image sqc12973 I41/acd 142 tetragonal {3,6,4,8} 36 (4,5)
Full image sqc12974 I41/acd 142 tetragonal {3,6,4,8} 36 (4,5)
Full image sqc9692 P42/nnm 134 tetragonal {3,6,8,4} 18 (4,4)
Full image sqc9708 P42/nnm 134 tetragonal {3,6,4,8} 18 (4,4)

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 UQC4673 *2224 (4,4,2) {3,6,4,8} {4.4.4}{4.4.4.4.4.4}{4.4.4.4}{4.... Snet sqc9742 Snet sqc12973 Snet sqc9692
Tiling details UQC4674 *2224 (4,4,2) {3,6,4,8} {4.4.4}{4.4.4.4.4.4}{4.4.4.4}{4.... Snet sqc9741 Snet sqc12974 Snet sqc9708

Symmetry-lowered hyperbolic tilings