h-net: hqc2025


Topological data

Orbifold symbol*222222
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,4,4,4,4}
2D vertex symbol {3.9.9.3}{3.9.3.9}{9.9.9.9}{9.9.9.9}{9.9.9.9}
Delaney-Dress Symbol <2025.2:12:1 3 5 7 9 11 12,2 3 6 5 8 10 12,1 4 5 6 7 8 9 10 11 12:3 9,4 4 4 4 4>
Dual net hqc1922

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 sqc805 Pmmm 47 orthorhombic {4,4,4,4,4} 6 (5,6)
Full image sqc811 Pmmm 47 orthorhombic {4,4,4,4,4} 6 (5,6)
Full image sqc814 Pmmm 47 orthorhombic {4,4,4,4,4} 6 (5,6)
Full image sqc5216 C2/c 15 monoclinic {4,4,4,4,4} 12 (5,7)
Full image sqc5232 I212121 24 orthorhombic {4,4,4,4,4} 12 (5,7)
Full image sqc5487 C2/c 15 monoclinic {4,4,4,4,4} 12 (5,7)
Full image sqc5547 C2/c 15 monoclinic {4,4,4,4,4} 12 (5,7)
Full image sqc815 Pmmm 47 orthorhombic {4,4,4,4,4} 6 (5,6)
Full image sqc5222 Imma 74 orthorhombic {4,4,4,4,4} 12 (5,6)
Full image sqc5479 Imma 74 orthorhombic {4,4,4,4,4} 12 (5,6)
Full image sqc5550 Imma 74 orthorhombic {4,4,4,4,4} 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 UQC5344 *222222a (5,6,2) {4,4,4,4,4} {3.9.9.3}{3.9.3.9}{9.9.9.9}{9.9.... Snet sqc814 Snet sqc5487 Snet sqc5479
Tiling details UQC5345 *222222a (5,6,2) {4,4,4,4,4} {3.9.9.3}{3.9.3.9}{9.9.9.9}{9.9.... Snet sqc805 Snet sqc5547 Snet sqc5550
Tiling details UQC5346 *222222a (5,6,2) {4,4,4,4,4} {3.9.9.3}{3.9.3.9}{9.9.9.9}{9.9.... Snet sqc811 Snet sqc5216 Snet sqc5222
Tiling details UQC5347 *222222b (5,6,2) {4,4,4,4,4} {3.9.9.3}{3.9.3.9}{9.9.9.9}{9.9.... No s‑net Snet sqc5232 Snet sqc815

Symmetry-lowered hyperbolic tilings