h-net: hqc1805


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,6,8,4}
2D vertex symbol {3.4.4.3}{3.4.4.3.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 14, 24, 70, 120, 332, 600, 1578, 2976, 7538), (6, 8, 34, 48, 158, 248, 746, 1248, 3526, 6248), (8, 16, 48, 80, 232, 400, 1096, 2000, 5216, 9904), (4, 20, 28, 96, 148, 452, 748, 2136, 3748, 10132)]
Delaney-Dress Symbol <1805.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,4 6 8 4>
Dual net hqc1658

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 sqc10495 I4/mmm 139 tetragonal {4,6,4,8} 18 (4,5)
Full image sqc10500 I4/mmm 139 tetragonal {4,8,4,6} 18 (4,5)
Full image sqc13244 I41/acd 142 tetragonal {4,6,8,4} 36 (4,6)
Full image sqc13245 I41/acd 142 tetragonal {4,6,8,4} 36 (4,6)
Full image sqc10438 P42/nnm 134 tetragonal {4,6,4,8} 18 (4,5)
Full image sqc10493 P42/nnm 134 tetragonal {6,4,8,4} 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 UQC4934 *2224 (4,5,2) {4,6,8,4} {3.4.4.3}{3.4.4.3.4.4}{4.4.4.4.4... Snet sqc10495 Snet sqc13244 Snet sqc10438
Tiling details UQC4935 *2224 (4,5,2) {4,6,8,4} {3.4.4.3}{3.4.4.3.4.4}{4.4.4.4.4... Snet sqc10500 Snet sqc13245 Snet sqc10493

Symmetry-lowered hyperbolic tilings