h-net: hqc2080


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,4,3,4,4}
2D vertex symbol {8.8.8.8}{8.4.4.8}{8.4.4}{4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 12, 20, 32, 44, 100, 156, 288, 420, 828), (4, 8, 18, 28, 54, 80, 156, 232, 452, 672), (3, 7, 12, 27, 43, 80, 117, 232, 347, 672), (4, 8, 12, 28, 44, 80, 116, 232, 348, 672), (4, 6, 10, 18, 44, 68, 116, 166, 348, 528)]
Delaney-Dress Symbol <2080.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:8 4,4 4 3 4 4>
Dual net hqc1932

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 sqc5306 P4/mmm 123 tetragonal {4,3,4,4,4} 13 (5,5)
Full image sqc11198 I4/mmm 139 tetragonal {4,4,3,4,4} 26 (5,5)
Full image sqc13518 I41/acd 142 tetragonal {4,4,3,4,4} 52 (5,6)
Full image sqc13522 I41/acd 142 tetragonal {4,4,3,4,4} 52 (5,6)
Full image sqc11199 P42/nnm 134 tetragonal {4,4,4,3,4} 26 (5,5)
Full image sqc11219 P42/nnm 134 tetragonal {4,4,3,4,4} 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 UQC5442 *2224 (5,5,2) {4,4,3,4,4} {8.8.8.8}{8.4.4.8}{8.4.4}{4.4.4.... Snet sqc5306 Snet sqc13522 Snet sqc11219
Tiling details UQC5443 *2224 (5,5,2) {4,4,3,4,4} {8.8.8.8}{8.4.4.8}{8.4.4}{4.4.4.... Snet sqc11198 Snet sqc13518 Snet sqc11199

Symmetry-lowered hyperbolic tilings