h-net: hqc2046


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,6,2)
Vertex degrees{4,4,4,8}
2D vertex symbol {4.4.4.4}{4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(4, 8, 20, 40, 84, 176, 364, 760, 1580, 3288), (4, 12, 24, 52, 108, 224, 468, 972, 2024, 4212), (4, 16, 28, 64, 132, 272, 572, 1184, 2468, 5136), (8, 16, 40, 80, 168, 352, 728, 1520, 3160, 6576)]
Delaney-Dress Symbol <2046.2:12:1 3 5 7 9 11 12,2 12 6 11 8 10,1 4 5 6 7 8 9 10 11 12:4 4,4 4 4 8>
Dual net hqc1963

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 sqc11000 I4/mmm 139 tetragonal {4,4,4,8} 22 (4,6)
Full image sqc11007 I4/mmm 139 tetragonal {4,4,4,8} 22 (4,6)
Full image sqc13363 I41/acd 142 tetragonal {4,4,4,8} 44 (4,7)
Full image sqc13364 I41/acd 142 tetragonal {4,4,4,8} 44 (4,7)
Full image sqc10900 P42/nnm 134 tetragonal {4,4,8,4} 22 (4,6)
Full image sqc10992 P42/nnm 134 tetragonal {4,4,4,8} 22 (4,6)

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 UQC5184 *2224 (4,6,2) {4,4,4,8} {4.4.4.4}{4.4.4.4}{4.4.4.4}{4.4.... Snet sqc11000 Snet sqc13364 Snet sqc10900
Tiling details UQC5185 *2224 (4,6,2) {4,4,4,8} {4.4.4.4}{4.4.4.4}{4.4.4.4}{4.4.... Snet sqc11007 Snet sqc13363 Snet sqc10992

Symmetry-lowered hyperbolic tilings