h-net: hqc609


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{10,6}
2D vertex symbol {4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3}
Delaney-Dress Symbol <609.2:8:1 2 3 5 7 8,2 4 5 6 8,1 3 6 7 8:4 3 3,10 6>
Dual net hqc806

Derived s-nets

s-nets with faithful topology

19 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 sqc1782 Fmmm 69 orthorhombic {6,10} 4 (2,4)
Full image sqc7405 I4122 98 tetragonal {6,10} 8 (2,5)
Full image sqc7411 I4122 98 tetragonal {6,10} 8 (2,5)
Full image sqc7426 I4122 98 tetragonal {6,10} 8 (2,5)
Full image sqc7471 Fddd 70 orthorhombic {6,10} 8 (2,5)
Full image sqc7476 Fddd 70 orthorhombic {6,10} 8 (2,5)
Full image sqc7483 Fddd 70 orthorhombic {6,10} 8 (2,5)
Full image sqc7484 I4122 98 tetragonal {6,10} 8 (2,5)
Full image sqc7514 Fddd 70 orthorhombic {6,10} 8 (2,5)
Full image sqc7535 I4122 98 tetragonal {6,10} 8 (2,5)
Full image sqc7584 Fddd 70 orthorhombic {6,10} 8 (2,5)
Full image sqc77 Pmmm 47 orthorhombic {10,6} 2 (2,4)
Full image sqc1578 P42/mmc 131 tetragonal {6,10} 4 (2,4)
Full image sqc1586 P4222 93 tetragonal {6,10} 4 (2,4)
Full image sqc1775 P4222 93 tetragonal {10,6} 4 (2,4)
Full image sqc1781 Cmma 67 orthorhombic {10,6} 4 (2,4)
Full image sqc1795 P4222 93 tetragonal {6,10} 4 (2,4)
Full image sqc1861 Cmma 67 orthorhombic {10,6} 4 (2,4)
Full image sqc1865 P4222 93 tetragonal {10,6} 4 (2,4)

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 UQC720 *22222a (2,4,3) {10,6} {4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3} No s‑net Snet sqc7411 Snet sqc1578
Tiling details UQC721 *22222a (2,4,3) {10,6} {4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3} Snet sqc5670 Snet sqc7405 Snet sqc1586
Tiling details UQC722 *22222a (2,4,3) {10,6} {4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3} No s‑net Snet sqc7426 Snet sqc1795
Tiling details UQC723 *22222a (2,4,3) {10,6} {4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3} Snet sqc7076 Snet sqc7484 Snet sqc1775
Tiling details UQC724 *22222a (2,4,3) {10,6} {4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3} Snet sqc6507 Snet sqc7535 Snet sqc1865
Tiling details UQC725 *22222b (2,4,3) {10,6} {4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3} No s‑net Snet sqc7471 Snet sqc77
Tiling details UQC726 *22222b (2,4,3) {10,6} {4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3} Snet sqc1782 Snet sqc7514 Snet sqc45
Tiling details UQC727 *22222b (2,4,3) {10,6} {4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3} Snet sqc1464 Snet sqc7476 Snet sqc45
Tiling details UQC728 *22222b (2,4,3) {10,6} {4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3} Snet sqc45 Snet sqc7483 Snet sqc1781
Tiling details UQC729 *22222b (2,4,3) {10,6} {4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3} Snet sqc45 Snet sqc7584 Snet sqc1861

Symmetry-lowered hyperbolic tilings