h-net: hqc1057


Topological data

Orbifold symbol*222222
Transitivity (vertex, edge, ring)(2,5,3)
Vertex degrees{12,3}
2D vertex symbol {4.8.3.3.8.4.4.8.3.3.8.4}{8.8.3}
Delaney-Dress Symbol <1057.2:9:1 2 3 5 7 8 9,2 4 9 8 7,1 3 6 7 8 9:4 8 3,12 3>
Dual net hqc1119

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 sqc195 Pmmm 47 orthorhombic {12,3} 3 (2,5)
Full image sqc2314 C2/c 15 monoclinic {12,3} 6 (2,6)
Full image sqc2320 I212121 24 orthorhombic {12,3} 6 (2,6)
Full image sqc2332 C2/c 15 monoclinic {12,3} 6 (2,6)
Full image sqc2356 C2/c 15 monoclinic {12,3} 6 (2,6)
Full image sqc203 Pmmm 47 orthorhombic {12,3} 3 (2,5)
Full image sqc212 Cmmm 65 orthorhombic {3,12} 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 UQC1271 *222222a (2,5,3) {12,3} {4.8.3.3.8.4.4.8.3.3.8.4}{8.8.3} Snet sqc102 Snet sqc2332 Snet sqc1665
Tiling details UQC1272 *222222b (2,5,3) {12,3} {4.8.3.3.8.4.4.8.3.3.8.4}{8.8.3} No s‑net Snet sqc2320 Snet sqc203
Tiling details UQC1273 *222222a (2,5,3) {12,3} {4.8.3.3.8.4.4.8.3.3.8.4}{8.8.3} Snet sqc195 Snet sqc2356 Snet sqc1231
Tiling details UQC1274 *222222a (2,5,3) {12,3} {4.8.3.3.8.4.4.8.3.3.8.4}{8.8.3} Snet sqc102 Snet sqc2314 Snet sqc212

Symmetry-lowered hyperbolic tilings