h-net: hqc751


Topological data

Orbifold symbol*222222
Transitivity (vertex, edge, ring)(3,5,2)
Vertex degrees{4,8,4}
2D vertex symbol {4.4.4.4}{4.8.8.4.4.8.8.4}{8.8.8.8}
Delaney-Dress Symbol <751.2:8:1 3 4 5 7 8,2 4 6 8,1 2 3 5 6 7 8:4 8,4 8 4>
Dual net hqc606

Derived s-nets

s-nets with faithful topology

6 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 sqc139 Pmmm 47 orthorhombic {8,4,4} 3 (3,5)
Full image sqc1633 C2/c 15 monoclinic {4,8,4} 6 (3,5)
Full image sqc1637 I212121 24 orthorhombic {4,8,4} 6 (3,5)
Full image sqc1849 C2/c 15 monoclinic {4,8,4} 6 (3,5)
Full image sqc78 Pmmm 47 orthorhombic {4,4,8} 3 (3,5)
Full image sqc1867 Imma 74 orthorhombic {4,8,4} 6 (3,5)

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 UQC3545 *222222b (3,5,2) {4,8,4} {4.4.4.4}{4.8.8.4.4.8.8.4}{8.8.8.8} Snet sqc844 Snet sqc1637 Snet sqc78
Tiling details UQC3546 *222222a (3,5,2) {4,8,4} {4.4.4.4}{4.8.8.4.4.8.8.4}{8.8.8.8} Snet sqc61 Snet sqc1633 Snet sqc1239
Tiling details UQC3547 *222222a (3,5,2) {4,8,4} {4.4.4.4}{4.8.8.4.4.8.8.4}{8.8.8.8} Snet sqc62 Snet sqc1849 Snet sqc1867
Tiling details UQC3548 *222222a (3,5,2) {4,8,4} {4.4.4.4}{4.8.8.4.4.8.8.4}{8.8.8.8} Snet sqc139 Snet sqc1849 Snet sqc1379

Symmetry-lowered hyperbolic tilings