h-net: hqc2050


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{3,3,4,4,8}
2D vertex symbol {4.5.5}{4.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5.5.5.5.5}
Vertex coordination sequence [(3, 6, 19, 46, 103, 215, 481, 1007, 2217, 4643), (3, 10, 21, 54, 109, 260, 515, 1198, 2377, 5528), (4, 10, 32, 64, 160, 298, 732, 1386, 3368, 6410), (4, 20, 40, 96, 184, 444, 844, 2048, 3900, 9444), (8, 20, 48, 88, 224, 428, 1032, 1968, 4760, 9060)]
Delaney-Dress Symbol <2050.2:12:2 4 6 8 10 12,1 2 5 12 7 9 11,3 4 5 6 7 8 9 10 11 12:4 5,3 3 4 4 8>
Dual net hqc1919

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 sqc11002 I4/mmm 139 tetragonal {3,4,3,4,8} 26 (5,5)
Full image sqc11009 I4/mmm 139 tetragonal {3,3,8,4,4} 26 (5,5)
Full image sqc13370 I41/acd 142 tetragonal {3,3,4,4,8} 52 (5,6)
Full image sqc13371 I41/acd 142 tetragonal {3,3,4,4,8} 52 (5,6)
Full image sqc10903 P42/nnm 134 tetragonal {3,4,3,4,8} 26 (5,5)
Full image sqc11006 P42/nnm 134 tetragonal {4,3,3,4,8} 26 (5,5)

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 UQC5387 *2224 (5,5,2) {3,3,4,4,8} {4.5.5}{4.5.5}{5.5.5.5}{5.5.5.5}... Snet sqc11009 Snet sqc13370 Snet sqc11006
Tiling details UQC5388 *2224 (5,5,2) {3,3,4,4,8} {4.5.5}{4.5.5}{5.5.5.5}{5.5.5.5}... Snet sqc11002 Snet sqc13371 Snet sqc10903

Symmetry-lowered hyperbolic tilings