h-net: hqc2159


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,6,5)
Vertex degrees{4,5}
2D vertex symbol {8.4.3.4}{3.4.4.4.4}
Vertex coordination sequence [(5, 12, 21, 36, 65, 116, 205, 364, 643, 1132), (4, 9, 18, 34, 60, 105, 186, 328, 578, 1023)]
Delaney-Dress Symbol <2159.2:13:1 2 3 4 5 7 9 10 11 12 13,2 4 6 7 10 11 13,3 10 5 8 9 12 13:8 4 3 4 4,4 5>
Dual net hqc2228

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 sqc11361 I4/mmm 139 tetragonal {4,5} 24 (2,6)
Full image sqc11530 I4/mmm 139 tetragonal {5,4} 24 (2,6)
Full image sqc13560 I41/acd 142 tetragonal {5,4,4} 48 (3,7)
Full image sqc13583 I41/acd 142 tetragonal {5,4,4} 48 (3,7)
Full image sqc11440 P42/nnm 134 tetragonal {4,5} 24 (2,6)
Full image sqc11545 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 UQC2798 *2224 (2,6,5) {5,4} {8.4.3.4}{3.4.4.4.4} Snet sqc11361 Snet sqc13560 Snet sqc11440
Tiling details UQC2799 *2224 (2,6,5) {5,4} {8.4.3.4}{3.4.4.4.4} Snet sqc11530 Snet sqc13583 Snet sqc11545

Symmetry-lowered hyperbolic tilings