h-net: hqc1844


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,12,4}
2D vertex symbol {5.5.5.5}{5.3.3.5}{5.3.3.5.3.3.5.3.3.5.3.3}{3.3.3.3}
Vertex coordination sequence [(4, 12, 44, 72, 180, 320, 892, 1600, 4068, 7612), (4, 22, 24, 98, 128, 460, 650, 2078, 3224, 9650), (12, 12, 52, 64, 260, 340, 1140, 1688, 5332, 8404), (4, 20, 20, 84, 124, 404, 604, 1796, 3036, 8432)]
Delaney-Dress Symbol <1844.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:5 3,4 4 12 4>
Dual net hqc1714

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 sqc10363 I4/mmm 139 tetragonal {4,4,4,12} 18 (4,5)
Full image sqc10463 I4/mmm 139 tetragonal {4,4,4,12} 18 (4,5)
Full image sqc13221 I41/acd 142 tetragonal {4,4,12,4} 36 (4,6)
Full image sqc13229 I41/acd 142 tetragonal {4,4,12,4} 36 (4,6)
Full image sqc10238 P42/nnm 134 tetragonal {4,12,4,4} 18 (4,5)
Full image sqc10462 P42/nnm 134 tetragonal {12,4,4,4} 18 (4,5)

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 UQC5016 *2224 (4,5,2) {4,4,12,4} {5.5.5.5}{5.3.3.5}{5.3.3.5.3.3.5... Snet sqc10363 Snet sqc13221 Snet sqc10238
Tiling details UQC5017 *2224 (4,5,2) {4,4,12,4} {5.5.5.5}{5.3.3.5}{5.3.3.5.3.3.5... Snet sqc10463 Snet sqc13229 Snet sqc10462

Symmetry-lowered hyperbolic tilings