h-net: hqc1054


Topological data

Orbifold symbol*222222
Transitivity (vertex, edge, ring)(2,5,3)
Vertex degrees{12,3}
2D vertex symbol {4.4.6.6.4.4.4.4.6.6.4.4}{4.4.6}
Delaney-Dress Symbol <1054.2:9:1 2 3 5 7 8 9,2 4 9 8 7,1 3 6 7 8 9:4 4 6,12 3>
Dual net hqc1120

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 sqc2348 Cmma 67 orthorhombic {12,3} 6 (2,5)
Full image sqc2309 Fddd 70 orthorhombic {12,3} 6 (2,4)
Full image sqc2312 I4122 98 tetragonal {12,3} 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 sqc211 P222 16 orthorhombic {3,12} 3 (2,5)
Full image sqc2354 Imma 74 orthorhombic {12,3} 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 UQC1253 *222222a (2,5,3) {12,3} {4.4.6.6.4.4.4.4.6.6.4.4}{4.4.6} No s‑net Snet sqc2309 Snet sqc1678
Tiling details UQC1254 *222222a (2,5,3) {12,3} {4.4.6.6.4.4.4.4.6.6.4.4}{4.4.6} Snet sqc1670 Snet sqc2361 Snet sqc2354
Tiling details UQC1255 *222222b (2,5,3) {12,3} {4.4.6.6.4.4.4.4.6.6.4.4}{4.4.6} Snet sqc50 Snet sqc2312 Snet sqc211
Tiling details UQC1256 *222222a (2,5,3) {12,3} {4.4.6.6.4.4.4.4.6.6.4.4}{4.4.6} Snet sqc2348 Snet sqc2363 Snet sqc1236

Symmetry-lowered hyperbolic tilings