h-net: hqc2187


Topological data

Orbifold symbol*222222
Transitivity (vertex, edge, ring)(2,7,5)
Vertex degrees{10,3}
2D vertex symbol {4.4.4.3.4.4.3.4.4.4}{4.4.3}
Delaney-Dress Symbol <2187.2:13:1 2 3 4 5 7 9 10 11 12 13,2 4 6 13 10 9 12,1 3 5 8 9 11 12 13:4 4 4 3 4,10 3>
Dual net hqc2203

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 sqc993 Pmmm 47 orthorhombic {3,10} 4 (2,7)
Full image sqc5643 Cmma 67 orthorhombic {10,3} 8 (2,7)
Full image sqc5657 C2/c 15 monoclinic {10,3} 8 (2,8)
Full image sqc5712 C2/c 15 monoclinic {10,3} 8 (2,8)
Full image sqc5716 I212121 24 orthorhombic {10,3} 8 (2,8)
Full image sqc5751 C2/c 15 monoclinic {10,3} 8 (2,8)
Full image sqc1085 P222 16 orthorhombic {3,10} 4 (2,7)

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 UQC2886 *222222a (2,7,5) {10,3} {4.4.4.3.4.4.3.4.4.4}{4.4.3} Snet sqc993 Snet sqc5657 Snet sqc4825
Tiling details UQC2887 *222222a (2,7,5) {10,3} {4.4.4.3.4.4.3.4.4.4}{4.4.3} Snet sqc5643 Snet sqc5712 Snet sqc4829
Tiling details UQC2888 *222222a (2,7,5) {10,3} {4.4.4.3.4.4.3.4.4.4}{4.4.3} Snet sqc5083 Snet sqc5751 Snet sqc581
Tiling details UQC2889 *222222b (2,7,5) {10,3} {4.4.4.3.4.4.3.4.4.4}{4.4.3} Snet sqc560 Snet sqc5716 Snet sqc1085

Symmetry-lowered hyperbolic tilings