h-net: hqc2166


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,6,5)
Vertex degrees{4,5}
2D vertex symbol {4.4.4.4}{4.4.4.4.4}
Vertex coordination sequence [(5, 13, 26, 49, 93, 176, 331, 623, 1174, 2211), (4, 9, 18, 35, 66, 124, 234, 441, 830, 1563)]
Delaney-Dress Symbol <2166.2:13:1 2 3 4 5 7 9 10 11 12 13,2 4 6 12 10 11 13,3 10 5 8 9 11 13:4 4 4 4 4,4 5>
Dual net hqc2268

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 sqc11569 I4/mmm 139 tetragonal {4,5} 24 (2,6)
Full image sqc11571 I4/mmm 139 tetragonal {4,5} 24 (2,6)
Full image sqc13586 I41/acd 142 tetragonal {5,4,4} 48 (3,7)
Full image sqc13587 I41/acd 142 tetragonal {5,4,4} 48 (3,7)
Full image sqc11547 P42/nnm 134 tetragonal {4,5} 24 (2,6)
Full image sqc11562 P42/nnm 134 tetragonal {4,5} 24 (2,6)

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 UQC2817 *2224 (2,6,5) {5,4} {4.4.4.4}{4.4.4.4.4} Snet sqc11571 Snet sqc13587 Snet sqc11562
Tiling details UQC2818 *2224 (2,6,5) {5,4} {4.4.4.4}{4.4.4.4.4} Snet sqc11569 Snet sqc13586 Snet sqc11547

Symmetry-lowered hyperbolic tilings