h-net: hqc2027


Topological data

Orbifold symbol*222222
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,3,6,4,4}
2D vertex symbol {5.5.5.5}{5.7.5}{5.7.7.5.7.7}{7.7.7.7}{7.7.7.7}
Delaney-Dress Symbol <2027.2:12:1 3 5 7 9 11 12,2 4 5 6 8 10 12,1 2 3 6 7 8 9 10 11 12:5 7,4 3 6 4 4>
Dual net hqc1929

Derived s-nets

s-nets with faithful topology

10 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 sqc919 Pmmm 47 orthorhombic {3,4,4,6,4} 6 (5,6)
Full image sqc920 Pmmm 47 orthorhombic {6,4,4,3,4} 6 (5,6)
Full image sqc5215 C2/c 15 monoclinic {4,3,6,4,4} 12 (5,7)
Full image sqc5230 I212121 24 orthorhombic {4,3,6,4,4} 12 (5,7)
Full image sqc5324 C2/c 15 monoclinic {4,3,6,4,4} 12 (5,7)
Full image sqc5435 C2/c 15 monoclinic {4,3,6,4,4} 12 (5,7)
Full image sqc5140 Imma 74 orthorhombic {4,3,6,4,4} 12 (5,6)
Full image sqc5221 Imma 74 orthorhombic {4,3,6,4,4} 12 (5,6)
Full image sqc5439 Imma 74 orthorhombic {4,3,6,4,4} 12 (5,6)

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 UQC5358 *222222a (5,6,2) {4,3,6,4,4} {5.5.5.5}{5.7.5}{5.7.7.5.7.7}{7.... No s‑net Snet sqc5435 Snet sqc5439
Tiling details UQC5359 *222222a (5,6,2) {4,3,6,4,4} {5.5.5.5}{5.7.5}{5.7.7.5.7.7}{7.... Snet sqc920 Snet sqc5324 Snet sqc5140
Tiling details UQC5360 *222222a (5,6,2) {4,3,6,4,4} {5.5.5.5}{5.7.5}{5.7.7.5.7.7}{7.... Snet sqc919 Snet sqc5215 Snet sqc5221
Tiling details UQC5361 *222222b (5,6,2) {4,3,6,4,4} {5.5.5.5}{5.7.5}{5.7.7.5.7.7}{7.... No s‑net Snet sqc5230 No s‑net

Symmetry-lowered hyperbolic tilings