h-net: hqc816


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{4,8,4}
2D vertex symbol {3.5.5.3}{3.5.3.5.3.5.3.5}{5.5.5.5}
Vertex coordination sequence [(4, 16, 24, 76, 128, 352, 632, 1652, 3120, 7776), (8, 12, 40, 64, 192, 316, 888, 1592, 4160, 7820), (4, 12, 32, 60, 148, 296, 708, 1428, 3352, 6948)]
Delaney-Dress Symbol <816.2:8:1 3 5 7 8,2 3 6 5 8,1 4 5 6 7 8:3 5,4 8 4>
Dual net hqc673

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 sqc7783 I4/mmm 139 tetragonal {4,4,8} 14 (3,4)
Full image sqc7921 I4/mmm 139 tetragonal {4,4,8} 14 (3,4)
Full image sqc12349 I41/acd 142 tetragonal {4,8,4} 28 (3,5)
Full image sqc12384 I41/acd 142 tetragonal {4,8,4} 28 (3,5)
Full image sqc7570 P42/nnm 134 tetragonal {4,4,8} 14 (3,4)
Full image sqc7920 P42/nnm 134 tetragonal {4,4,8} 14 (3,4)

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 UQC3708 *2224 (3,4,2) {4,8,4} {3.5.5.3}{3.5.3.5.3.5.3.5}{5.5.5.5} Snet sqc7783 Snet sqc12349 Snet sqc7570
Tiling details UQC3709 *2224 (3,4,2) {4,8,4} {3.5.5.3}{3.5.3.5.3.5.3.5}{5.5.5.5} Snet sqc7921 Snet sqc12384 Snet sqc7920

Symmetry-lowered hyperbolic tilings