h-net: hqc667


Topological data

Orbifold symbol*222222
Transitivity (vertex, edge, ring)(3,5,2)
Vertex degrees{8,4,4}
2D vertex symbol {4.6.6.4.4.6.6.4}{6.6.6.6}{6.6.6.6}
Delaney-Dress Symbol <667.2:8:1 2 3 5 7 8,2 4 6 8,1 3 4 5 6 7 8:4 6,8 4 4>
Dual net hqc575

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 sqc88 Pmmm 47 orthorhombic {8,4,4} 3 (3,5)
Full image sqc1625 I212121 24 orthorhombic {8,4,4} 6 (3,5)
Full image sqc1628 C2/c 15 monoclinic {8,4,4} 6 (3,5)
Full image sqc1671 C2/c 15 monoclinic {8,4,4} 6 (3,5)
Full image sqc1802 C2/c 15 monoclinic {8,4,4} 6 (3,5)
Full image sqc91 Pmmm 47 orthorhombic {8,4,4} 3 (3,5)
Full image sqc1800 Imma 74 orthorhombic {8,4,4} 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 UQC3520 *222222a (3,5,2) {8,4,4} {4.6.6.4.4.6.6.4}{6.6.6.6}{6.6.6.6} Snet sqc54 Snet sqc1628 Snet sqc1209
Tiling details UQC3521 *222222a (3,5,2) {8,4,4} {4.6.6.4.4.6.6.4}{6.6.6.6}{6.6.6.6} Snet sqc88 Snet sqc1671 Snet sqc1226
Tiling details UQC3522 *222222b (3,5,2) {8,4,4} {4.6.6.4.4.6.6.4}{6.6.6.6}{6.6.6.6} Snet sqc846 Snet sqc1625 Snet sqc91
Tiling details UQC3523 *222222a (3,5,2) {8,4,4} {4.6.6.4.4.6.6.4}{6.6.6.6}{6.6.6.6} Snet sqc53 Snet sqc1802 Snet sqc1800

Symmetry-lowered hyperbolic tilings