h-net: hqc2127


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,6,5)
Vertex degrees{5,6}
2D vertex symbol {4.4.3.4.4}{3.4.4.3.4.4}
Delaney-Dress Symbol <2127.2:13:1 2 3 4 5 6 7 9 11 12 13,2 4 6 8 9 12 13,3 12 5 7 10 11 13:4 4 4 3 4,5 6>
Dual net hqc2222

Derived s-nets

s-nets with faithful topology

27 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 sqc5817 Fmmm 69 orthorhombic {5,6} 10 (2,6)
Full image sqc5937 P4/mmm 123 tetragonal {5,6} 10 (2,5)
Full image sqc5968 Fmmm 69 orthorhombic {5,6} 10 (2,6)
Full image sqc5969 Fmmm 69 orthorhombic {5,6} 10 (2,6)
Full image sqc6039 Fmmm 69 orthorhombic {6,5} 10 (2,6)
Full image sqc11497 P4/mmm 123 tetragonal {6,5} 20 (2,6)
Full image sqc11498 P4/mmm 123 tetragonal {6,5} 20 (2,6)
Full image sqc11301 I4122 98 tetragonal {6,5,5} 20 (3,7)
Full image sqc11350 Fddd 70 orthorhombic {6,5,5} 20 (3,7)
Full image sqc11351 Fddd 70 orthorhombic {6,5,5} 20 (3,7)
Full image sqc11352 Fddd 70 orthorhombic {6,5,5} 20 (3,7)
Full image sqc11353 I4122 98 tetragonal {6,5,5} 20 (3,7)
Full image sqc11358 I4122 98 tetragonal {6,5,5} 20 (3,7)
Full image sqc11452 Fddd 70 orthorhombic {6,5,5} 20 (3,7)
Full image sqc11453 Fddd 70 orthorhombic {6,5,5} 20 (3,7)
Full image sqc11495 I4122 98 tetragonal {6,5,5} 20 (3,7)
Full image sqc11496 I4122 98 tetragonal {6,5,5} 20 (3,7)
Full image sqc5690 Cmma 67 orthorhombic {5,6} 10 (2,6)
Full image sqc5692 P4222 93 tetragonal {5,6} 10 (2,6)
Full image sqc5818 Cmma 67 orthorhombic {5,6} 10 (2,6)
Full image sqc5823 P4222 93 tetragonal {5,6} 10 (2,6)
Full image sqc5827 P4222 93 tetragonal {5,6} 10 (2,6)
Full image sqc5966 P4222 93 tetragonal {5,6} 10 (2,6)
Full image sqc5967 Cmma 67 orthorhombic {5,6} 10 (2,6)
Full image sqc5973 P4222 93 tetragonal {5,6} 10 (2,6)
Full image sqc5976 Cmma 67 orthorhombic {6,5} 10 (2,6)
Full image sqc6040 Cmma 67 orthorhombic {5,6} 10 (2,6)

s-nets with edge collapse


Derived U-tilings

10 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC2676 *22222a (2,6,5) {6,5} {4.4.3.4.4}{3.4.4.3.4.4} Snet sqc5937 Snet sqc11301 Snet sqc5823
Tiling details UQC2677 *22222a (2,6,5) {6,5} {4.4.3.4.4}{3.4.4.3.4.4} Snet sqc11277 Snet sqc11353 Snet sqc5827
Tiling details UQC2678 *22222b (2,6,5) {6,5} {4.4.3.4.4}{3.4.4.3.4.4} Snet sqc5621 Snet sqc11351 Snet sqc5690
Tiling details UQC2679 *22222b (2,6,5) {6,5} {4.4.3.4.4}{3.4.4.3.4.4} Snet sqc5817 Snet sqc11350 Snet sqc5976
Tiling details UQC2680 *22222a (2,6,5) {6,5} {4.4.3.4.4}{3.4.4.3.4.4} Snet sqc11498 Snet sqc11496 Snet sqc5973
Tiling details UQC2681 *22222b (2,6,5) {6,5} {4.4.3.4.4}{3.4.4.3.4.4} Snet sqc5969 Snet sqc11453 Snet sqc6040
Tiling details UQC2682 *22222b (2,6,5) {6,5} {4.4.3.4.4}{3.4.4.3.4.4} Snet sqc6039 Snet sqc11452 Snet sqc5967
Tiling details UQC2683 *22222b (2,6,5) {6,5} {4.4.3.4.4}{3.4.4.3.4.4} Snet sqc5968 Snet sqc11352 Snet sqc5818
Tiling details UQC2684 *22222a (2,6,5) {6,5} {4.4.3.4.4}{3.4.4.3.4.4} Snet sqc11497 Snet sqc11495 Snet sqc5966
Tiling details UQC2685 *22222a (2,6,5) {6,5} {4.4.3.4.4}{3.4.4.3.4.4} Snet sqc11278 Snet sqc11358 Snet sqc5692

Symmetry-lowered hyperbolic tilings