h-net: hqc2019


Topological data

Orbifold symbol*222222
Transitivity (vertex, edge, ring)(4,7,2)
Vertex degrees{4,4,4,4}
2D vertex symbol {8.4.4.8}{8.8.4.4}{8.8.8.8}{8.8.8.8}
Delaney-Dress Symbol <2019.2:12:1 3 5 6 7 9 11 12,2 8 6 7 10 12,1 4 5 6 7 8 9 10 11 12:8 4,4 4 4 4>
Dual net hqc1959

Derived s-nets

s-nets with faithful topology

11 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 sqc824 Pmmm 47 orthorhombic {4,4,4,4} 6 (4,7)
Full image sqc5271 Cmma 67 orthorhombic {4,4,4,4} 12 (4,7)
Full image sqc5538 Cmma 67 orthorhombic {4,4,4,4} 12 (4,7)
Full image sqc5238 C2/c 15 monoclinic {4,4,4,4} 12 (4,8)
Full image sqc5240 I212121 24 orthorhombic {4,4,4,4} 12 (4,8)
Full image sqc5272 C2/c 15 monoclinic {4,4,4,4} 12 (4,8)
Full image sqc5279 C2/c 15 monoclinic {4,4,4,4} 12 (4,8)
Full image sqc825 P222 16 orthorhombic {4,4,4,4} 6 (4,7)
Full image sqc5237 Imma 74 orthorhombic {4,4,4,4} 12 (4,7)
Full image sqc5280 Imma 74 orthorhombic {4,4,4,4} 12 (4,7)
Full image sqc5549 Imma 74 orthorhombic {4,4,4,4} 12 (4,7)

s-nets with edge collapse


Derived U-tilings

4 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC5123 *222222a (4,7,2) {4,4,4,4} {8.4.4.8}{8.8.4.4}{8.8.8.8}{8.8.... Snet sqc824 Snet sqc5279 Snet sqc5280
Tiling details UQC5124 *222222a (4,7,2) {4,4,4,4} {8.4.4.8}{8.8.4.4}{8.8.8.8}{8.8.... Snet sqc5271 Snet sqc5272 Snet sqc5549
Tiling details UQC5125 *222222a (4,7,2) {4,4,4,4} {8.4.4.8}{8.8.4.4}{8.8.8.8}{8.8.... Snet sqc5538 Snet sqc5238 Snet sqc5237
Tiling details UQC5126 *222222b (4,7,2) {4,4,4,4} {8.4.4.8}{8.8.4.4}{8.8.8.8}{8.8.... Snet sqc4732 Snet sqc5240 Snet sqc825

Symmetry-lowered hyperbolic tilings