h-net: hqc991


Topological data

Orbifold symbol*222222
Transitivity (vertex, edge, ring)(2,5,3)
Vertex degrees{12,3}
2D vertex symbol {4.6.4.4.6.4.4.6.4.4.6.4}{6.4.4}
Delaney-Dress Symbol <991.2:9:1 2 3 5 7 8 9,2 4 5 8 9,1 3 6 7 8 9:4 6 4,12 3>
Dual net hqc1106

Derived s-nets

s-nets with faithful topology

7 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 sqc196 Pmmm 47 orthorhombic {3,12} 3 (2,5)
Full image sqc2306 I212121 24 orthorhombic {3,12} 6 (2,6)
Full image sqc2310 C2/c 15 monoclinic {3,12} 6 (2,6)
Full image sqc2355 C2/c 15 monoclinic {3,12} 6 (2,6)
Full image sqc2362 C2/c 15 monoclinic {3,12} 6 (2,6)
Full image sqc213 Cmmm 65 orthorhombic {12,3} 3 (2,5)
Full image sqc14559 Pmmm 47 orthorhombic {12,3} 3 (2,5)

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 UQC1071 *222222a (2,5,3) {12,3} {4.6.4.4.6.4.4.6.4.4.6.4}{6.4.4} Snet sqc102 Snet sqc2310 Snet sqc1656
Tiling details UQC1072 *222222b (2,5,3) {12,3} {4.6.4.4.6.4.4.6.4.4.6.4}{6.4.4} No s‑net Snet sqc2306 Snet sqc14559
Tiling details UQC1073 *222222a (2,5,3) {12,3} {4.6.4.4.6.4.4.6.4.4.6.4}{6.4.4} Snet sqc196 Snet sqc2355 Snet sqc1236
Tiling details UQC1074 *222222a (2,5,3) {12,3} {4.6.4.4.6.4.4.6.4.4.6.4}{6.4.4} Snet sqc14536 Snet sqc2362 Snet sqc213

Symmetry-lowered hyperbolic tilings