h-net: hqc531


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{4,4,4}
2D vertex symbol {3.8.8.3}{3.8.3.8}{8.8.8.8}
Vertex coordination sequence [(4, 8, 18, 38, 68, 138, 264, 522, 986, 1964), (4, 6, 16, 40, 64, 114, 274, 490, 900, 1828), (4, 12, 20, 32, 84, 156, 268, 552, 1164, 2060)]
Delaney-Dress Symbol <531.2:7:1 3 5 7,2 3 6 5 7,1 4 5 6 7:3 8,4 4 4>
Dual net hqc440

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 sqc1356 P4/mmm 123 tetragonal {4,4,4} 7 (3,3)
Full image sqc6854 I4/mmm 139 tetragonal {4,4,4} 14 (3,3)
Full image sqc11960 I41/acd 142 tetragonal {4,4,4} 28 (3,4)
Full image sqc11963 I41/acd 142 tetragonal {4,4,4} 28 (3,4)
Full image sqc1420 I4/mmm 139 tetragonal {4,4,4} 7 (3,3)
Full image sqc6858 P42/nnm 134 tetragonal {4,4,4} 14 (3,3)

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 UQC3429 *2224 (3,3,2) {4,4,4} {3.8.8.3}{3.8.3.8}{8.8.8.8} Snet sqc1356 Snet sqc11963 Snet sqc6858
Tiling details UQC3430 *2224 (3,3,2) {4,4,4} {3.8.8.3}{3.8.3.8}{8.8.8.8} Snet sqc6854 Snet sqc11960 Snet sqc1420

Symmetry-lowered hyperbolic tilings