h-net: hqc2001


Topological data

Orbifold symbol*222222
Transitivity (vertex, edge, ring)(2,6,4)
Vertex degrees{3,12}
2D vertex symbol {4.8.4}{4.4.4.4.8.8.4.4.4.4.8.8}
Delaney-Dress Symbol <2001.2:12:1 2 3 5 7 8 9 10 11 12,2 4 10 8 9 12,3 8 6 7 9 11 12:4 4 8 4,3 12>
Dual net hqc2043

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 sqc4784 Cmma 67 orthorhombic {12,3} 10 (2,6)
Full image sqc4772 I4122 98 tetragonal {12,3} 10 (2,5)
Full image sqc4773 Fddd 70 orthorhombic {12,3} 10 (2,5)
Full image sqc4789 C2/c 15 monoclinic {12,3,3} 10 (3,7)
Full image sqc715 P222 16 orthorhombic {3,12} 5 (2,6)
Full image sqc4787 Imma 74 orthorhombic {12,3} 10 (2,6)

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 UQC2340 *222222a (2,6,4) {12,3} {4.8.4}{4.4.4.4.8.8.4.4.4.4.8.8} No s‑net Snet sqc4773 Snet sqc4064
Tiling details UQC2341 *222222b (2,6,4) {12,3} {4.8.4}{4.4.4.4.8.8.4.4.4.4.8.8} Snet sqc369 Snet sqc4772 Snet sqc715
Tiling details UQC2342 *222222a (2,6,4) {12,3} {4.8.4}{4.4.4.4.8.8.4.4.4.4.8.8} Snet sqc4063 Snet sqc4789 Snet sqc4787
Tiling details UQC2343 *222222a (2,6,4) {12,3} {4.8.4}{4.4.4.4.8.8.4.4.4.4.8.8} Snet sqc4784 Snet sqc4789 Snet sqc3219

Symmetry-lowered hyperbolic tilings