h-net: hqc712


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{5,3}
2D vertex symbol {4.6.4.4.6}{6.4.4}
Vertex coordination sequence [(3, 8, 21, 46, 96, 200, 416, 866, 1802, 3750), (5, 13, 28, 59, 123, 256, 533, 1109, 2308, 4803)]
Delaney-Dress Symbol <712.2:8:1 2 4 6 7 8,1 3 4 7 8,2 5 6 7 8:4 6 4,5 3>
Dual net hqc754

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 sqc2115 P4/mmm 123 tetragonal {5,3} 8 (2,4)
Full image sqc8034 I4/mmm 139 tetragonal {5,3} 16 (2,4)
Full image sqc12437 I41/acd 142 tetragonal {3,5} 32 (2,5)
Full image sqc12438 I41/acd 142 tetragonal {3,5} 32 (2,5)
Full image sqc8016 P42/nnm 134 tetragonal {3,5} 16 (2,4)
Full image sqc8021 P42/nnm 134 tetragonal {3,5} 16 (2,4)

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 UQC967 *2224 (2,4,3) {5,3} {4.6.4.4.6}{6.4.4} Snet sqc8034 Snet sqc12437 Snet sqc8016
Tiling details UQC968 *2224 (2,4,3) {5,3} {4.6.4.4.6}{6.4.4} Snet sqc2115 Snet sqc12438 Snet sqc8021

Symmetry-lowered hyperbolic tilings