h-net: hqc1691


Topological data

Orbifold symbol*222222
Transitivity (vertex, edge, ring)(2,6,4)
Vertex degrees{6,10}
2D vertex symbol {4.3.4.4.3.4}{3.4.4.4.4.3.4.4.4.4}
Delaney-Dress Symbol <1691.2:11:1 2 3 5 7 8 9 10 11,2 4 5 8 9 11,1 3 6 7 8 10 11:4 3 4 4,6 10>
Dual net hqc1781

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 sqc4044 Cmma 67 orthorhombic {10,6} 6 (2,6)
Full image sqc4059 C2/c 15 monoclinic {10,6} 6 (2,7)
Full image sqc4107 C2/c 15 monoclinic {10,6} 6 (2,7)
Full image sqc4208 C2/c 15 monoclinic {10,6} 6 (2,7)
Full image sqc4245 I212121 24 orthorhombic {10,6} 6 (2,7)
Full image sqc538 P222 16 orthorhombic {6,10} 3 (2,6)
Full image sqc4207 Imma 74 orthorhombic {10,6} 6 (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 UQC2111 *222222a (2,6,4) {6,10} {4.3.4.4.3.4}{3.4.4.4.4.3.4.4.4.4} Snet sqc357 Snet sqc4107 Snet sqc3195
Tiling details UQC2112 *222222b (2,6,4) {6,10} {4.3.4.4.3.4}{3.4.4.4.4.3.4.4.4.4} Snet sqc2233 Snet sqc4245 Snet sqc538
Tiling details UQC2113 *222222a (2,6,4) {6,10} {4.3.4.4.3.4}{3.4.4.4.4.3.4.4.4.4} Snet sqc4044 Snet sqc4059 Snet sqc407
Tiling details UQC2114 *222222a (2,6,4) {6,10} {4.3.4.4.3.4}{3.4.4.4.4.3.4.4.4.4} Snet sqc3382 Snet sqc4208 Snet sqc4207

Symmetry-lowered hyperbolic tilings