h-net: hqc2006


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,6,4)
Vertex degrees{3,6}
2D vertex symbol {8.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(6, 18, 44, 104, 240, 550, 1264, 2904, 6668, 15314), (3, 7, 18, 43, 102, 239, 550, 1264, 2904, 6668)]
Delaney-Dress Symbol <2006.2:12:1 2 3 5 7 8 9 10 11 12,2 4 10 8 9 12,3 8 6 7 9 11 12:8 4 4 4,3 6>
Dual net hqc2035

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 sqc10806 I4/mmm 139 tetragonal {3,6} 24 (2,6)
Full image sqc11057 I4/mmm 139 tetragonal {6,3} 24 (2,6)
Full image sqc13292 I41/acd 142 tetragonal {6,3,3} 48 (3,7)
Full image sqc13412 I41/acd 142 tetragonal {6,3,3} 48 (3,7)
Full image sqc10885 P42/nnm 134 tetragonal {3,6} 24 (2,6)
Full image sqc11040 P42/nnm 134 tetragonal {3,6} 24 (2,6)

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 UQC2363 *2224 (2,6,4) {6,3} {8.4.4}{4.4.4.4.4.4} Snet sqc11057 Snet sqc13412 Snet sqc11040
Tiling details UQC2364 *2224 (2,6,4) {6,3} {8.4.4}{4.4.4.4.4.4} Snet sqc10806 Snet sqc13292 Snet sqc10885

Symmetry-lowered hyperbolic tilings