h-net: hqc2048


Topological data

Orbifold symbol*222222
Transitivity (vertex, edge, ring)(4,6,2)
Vertex degrees{4,8,4,4}
2D vertex symbol {8.4.4.8}{8.8.4.4.8.8.4.4}{4.4.4.4}{4.4.4.4}
Delaney-Dress Symbol <2048.2:12:1 3 5 7 9 11 12,2 12 6 11 8 10,1 4 5 6 7 8 9 10 11 12:8 4,4 8 4 4>
Dual net hqc1961

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 sqc777 Pmmm 47 orthorhombic {4,4,8,4} 5 (4,6)
Full image sqc4861 Cmma 67 orthorhombic {4,8,4,4} 10 (4,6)
Full image sqc5348 Cmma 67 orthorhombic {4,8,4,4} 10 (4,6)
Full image sqc4860 C2/c 15 monoclinic {4,8,4,4} 10 (4,7)
Full image sqc5212 I212121 24 orthorhombic {4,8,4,4} 10 (4,7)
Full image sqc5213 C2/c 15 monoclinic {4,8,4,4} 10 (4,7)
Full image sqc5356 C2/c 15 monoclinic {4,8,4,4} 10 (4,7)
Full image sqc786 P222 16 orthorhombic {4,4,8,4} 5 (4,6)
Full image sqc4859 Imma 74 orthorhombic {4,8,4,4} 10 (4,6)
Full image sqc5127 Imma 74 orthorhombic {4,8,4,4} 10 (4,6)
Full image sqc5349 Imma 74 orthorhombic {4,8,4,4} 10 (4,6)

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 UQC5201 *222222a (4,6,2) {4,8,4,4} {8.4.4.8}{8.8.4.4.8.8.4.4}{4.4.4... Snet sqc4861 Snet sqc4860 Snet sqc4859
Tiling details UQC5202 *222222a (4,6,2) {4,8,4,4} {8.4.4.8}{8.8.4.4.8.8.4.4}{4.4.4... Snet sqc777 Snet sqc5213 Snet sqc5127
Tiling details UQC5203 *222222a (4,6,2) {4,8,4,4} {8.4.4.8}{8.8.4.4.8.8.4.4}{4.4.4... Snet sqc5348 Snet sqc5356 Snet sqc5349
Tiling details UQC5204 *222222b (4,6,2) {4,8,4,4} {8.4.4.8}{8.8.4.4.8.8.4.4}{4.4.4... Snet sqc4726 Snet sqc5212 Snet sqc786

Symmetry-lowered hyperbolic tilings