h-net: hqc162


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,2,2)
Vertex degrees{3,8}
2D vertex symbol {6.4.6}{6.4.6.4.6.4.6.4}
Vertex coordination sequence [(3, 15, 30, 69, 189, 408, 987, 2451, 5586, 13545), (8, 12, 36, 100, 192, 512, 1248, 2748, 6940, 16404)]
Delaney-Dress Symbol <162.2:5:1 3 5,2 3 4 5,1 4 5:6 4,3 8>
Dual net hqc156

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 sqc494 tty P4/mmm 123 tetragonal {3,8} 5 (2,2)
Full image sqc517 cut P4/mmm 123 tetragonal {3,8} 5 (2,2)
Full image sqc9748 I41/acd 142 tetragonal {3,8} 20 (2,3)
Full image sqc9749 I41/acd 142 tetragonal {3,8} 20 (2,3)
Full image sqc495 flt I4/mmm 139 tetragonal {8,3} 5 (2,2)
Full image sqc3784 P42/nnm 134 tetragonal {3,8} 10 (2,2)

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 UQC166 *2224 (2,2,2) {3,8} {6.4.6}{6.4.6.4.6.4.6.4} Snet sqc494 Snet sqc9748 Snet sqc3784
Tiling details UQC167 *2224 (2,2,2) {3,8} {6.4.6}{6.4.6.4.6.4.6.4} Snet sqc517 Snet sqc9749 Snet sqc495

Symmetry-lowered hyperbolic tilings