h-net: hqc109


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(1,3,3)
Vertex degrees{5}
2D vertex symbol {4.8.4.4.8}
Delaney-Dress Symbol <109.1:5:1 2 3 4 5,1 3 5,2 4 5:4 8 4,5>
Dual net hqc174

Derived s-nets

s-nets with faithful topology

8 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 sqc464 fee P4/mmm 123 tetragonal {5} 4 (1,3)
Full image sqc465 Pmmm 47 orthorhombic {5,5} 4 (2,5)
Full image sqc3260 I41/a 88 tetragonal {5} 8 (1,3)
Full image sqc3583 I-42d 122 tetragonal {5} 8 (1,3)
Full image sqc3589 C2/c 15 monoclinic {5,5} 8 (2,6)
Full image sqc500 P4/mmm 123 tetragonal {5} 4 (1,3)
Full image sqc3257 I41/amd 141 tetragonal {5} 8 (1,3)
Full image sqc3584 Imma 74 orthorhombic {5,5} 8 (2,5)

s-nets with edge collapse


Derived U-tilings

3 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC36 *2244b (1,3,3) {5} {4.8.4.4.8} Snet sqc464 Snet sqc3260 Snet sqc3257
Tiling details UQC37 *2244a (1,3,3) {5} {4.8.4.4.8} Snet sqc2179 Snet sqc3583 Snet sqc500
Tiling details UQC1912 *222222a (2,5,4) {5,5} {4.8.4.8.4}{8.4.4.8.4} Snet sqc465 Snet sqc3589 Snet sqc3584

Symmetry-lowered hyperbolic tilings