h-net: hqc856


Topological data

Orbifold symbol*248
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,8,4,4}
2D vertex symbol {5.5.3.3}{3.3.3.3.3.3.3.3}{5.5.5.5}{5.5.5.5}
Vertex coordination sequence [(8, 8, 16, 40, 72, 96, 184, 344, 624, 952), (4, 10, 16, 32, 62, 106, 170, 316, 552, 968), (4, 12, 24, 36, 68, 120, 220, 348, 648, 1092), (4, 12, 24, 44, 68, 128, 220, 404, 648, 1204)]
Delaney-Dress Symbol <856.2:8:1 6 3 5 8,2 4 5 7 8,3 2 4 5 6 7 8:5 3,4 8 4 4>
Dual net hqc582

Derived s-nets

s-nets with faithful topology

3 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 sqc12374 I4/mmm 139 tetragonal {4,4,4,4,4,8} 30 (6,7)
Full image sqc14027 I41/acd 142 tetragonal {8,4,4,4,4,4} 60 (6,8)
Full image sqc12373 P42/nnm 134 tetragonal {4,8,4,4,4,4} 30 (6,7)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC6040 *2224 (6,7,2) {8,4,4,4,4,4} {3.3.3.3.3.3.3.3}{3.5.5.3}{3.5.5... Snet sqc12374 Snet sqc14027 Snet sqc12373

Symmetry-lowered hyperbolic tilings