h-net: hqc2018


Topological data

Orbifold symbol*222222
Transitivity (vertex, edge, ring)(5,7,2)
Vertex degrees{4,4,4,4,4}
2D vertex symbol {4.4.4.4}{4.8.8.4}{8.8.8.8}{8.8.8.8}{8.8.8.8}
Delaney-Dress Symbol <2018.2:12:1 3 4 5 7 9 11 12,2 4 6 8 10 12,1 2 3 5 6 7 8 9 10 11 12:4 8,4 4 4 4 4>
Dual net hqc1910

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 sqc804 Pmmm 47 orthorhombic {4,4,4,4,4} 6 (5,7)
Full image sqc810 Pmmm 47 orthorhombic {4,4,4,4,4} 6 (5,7)
Full image sqc813 Pmmm 47 orthorhombic {4,4,4,4,4} 6 (5,7)
Full image sqc5217 C2/c 15 monoclinic {4,4,4,4,4} 12 (5,7)
Full image sqc5231 I212121 24 orthorhombic {4,4,4,4,4} 12 (5,7)
Full image sqc5281 C2/c 15 monoclinic {4,4,4,4,4} 12 (5,7)
Full image sqc5492 C2/c 15 monoclinic {4,4,4,4,4} 12 (5,7)
Full image sqc812 Pmmm 47 orthorhombic {4,4,4,4,4} 6 (5,7)
Full image sqc5223 Imma 74 orthorhombic {4,4,4,4,4} 12 (5,7)
Full image sqc5480 Imma 74 orthorhombic {4,4,4,4,4} 12 (5,7)
Full image sqc5486 Imma 74 orthorhombic {4,4,4,4,4} 12 (5,7)

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 UQC5313 *222222a (5,7,2) {4,4,4,4,4} {4.4.4.4}{4.8.8.4}{8.8.8.8}{8.8.... Snet sqc813 Snet sqc5281 Snet sqc5480
Tiling details UQC5314 *222222a (5,7,2) {4,4,4,4,4} {4.4.4.4}{4.8.8.4}{8.8.8.8}{8.8.... Snet sqc804 Snet sqc5492 Snet sqc5486
Tiling details UQC5315 *222222a (5,7,2) {4,4,4,4,4} {4.4.4.4}{4.8.8.4}{8.8.8.8}{8.8.... Snet sqc810 Snet sqc5217 Snet sqc5223
Tiling details UQC5316 *222222b (5,7,2) {4,4,4,4,4} {4.4.4.4}{4.8.8.4}{8.8.8.8}{8.8.... Snet sqc3849 Snet sqc5231 Snet sqc812

Symmetry-lowered hyperbolic tilings