h-net: hqc989


Topological data

Orbifold symbol*222222
Transitivity (vertex, edge, ring)(2,5,3)
Vertex degrees{12,3}
2D vertex symbol {4.3.8.8.3.4.4.3.8.8.3.4}{3.8.8}
Delaney-Dress Symbol <989.2:9:1 2 3 5 7 8 9,2 4 5 8 9,1 3 6 7 8 9:4 3 8,12 3>
Dual net hqc1107

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 sqc2349 Cmma 67 orthorhombic {3,12} 6 (2,5)
Full image sqc2324 I4122 98 tetragonal {3,12} 6 (2,4)
Full image sqc2325 I41/amd 141 tetragonal {3,12} 6 (2,4)
Full image sqc2361 C2/c 15 monoclinic {3,12} 6 (2,6)
Full image sqc2363 C2/c 15 monoclinic {3,12} 6 (2,6)
Full image sqc198 P222 16 orthorhombic {12,3} 3 (2,5)
Full image sqc2316 Imma 74 orthorhombic {3,12} 6 (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 UQC1053 *222222a (2,5,3) {12,3} {4.3.8.8.3.4.4.3.8.8.3.4}{3.8.8} No s‑net Snet sqc2325 Snet sqc1675
Tiling details UQC1054 *222222a (2,5,3) {12,3} {4.3.8.8.3.4.4.3.8.8.3.4}{3.8.8} Snet sqc2349 Snet sqc2361 Snet sqc1231
Tiling details UQC1055 *222222b (2,5,3) {12,3} {4.3.8.8.3.4.4.3.8.8.3.4}{3.8.8} Snet sqc48 Snet sqc2324 Snet sqc198
Tiling details UQC1056 *222222a (2,5,3) {12,3} {4.3.8.8.3.4.4.3.8.8.3.4}{3.8.8} Snet sqc1669 Snet sqc2363 Snet sqc2316

Symmetry-lowered hyperbolic tilings