h-net: hqc163


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,2,2)
Vertex degrees{6,4}
2D vertex symbol {6.4.6.6.4.6}{6.4.6.4}
Delaney-Dress Symbol <163.2:5:1 3 5,2 3 4 5,1 4 5:6 4,6 4>
Dual net hqc163 (self dual)

Derived s-nets

s-nets with faithful topology

20 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 sqc11 fsc P4/mmm 123 tetragonal {6,4} 2 (2,2)
Full image sqc516 Fmmm 69 orthorhombic {4,6} 4 (2,2)
Full image sqc3535 P4/mmm 123 tetragonal {6,4} 8 (2,2)
Full image sqc3248 I4122 98 tetragonal {6,4} 8 (2,3)
Full image sqc3364 Fddd 70 orthorhombic {6,4} 8 (2,3)
Full image sqc3474 I4122 98 tetragonal {6,4} 8 (2,3)
Full image sqc3510 I4122 98 tetragonal {6,4} 8 (2,3)
Full image sqc3511 I4122 98 tetragonal {6,4} 8 (2,3)
Full image sqc3562 Fddd 70 orthorhombic {6,4} 8 (2,3)
Full image sqc3566 Fddd 70 orthorhombic {6,4} 8 (2,3)
Full image sqc3571 Fddd 70 orthorhombic {6,4} 8 (2,3)
Full image sqc3573 I4122 98 tetragonal {6,4} 8 (2,3)
Full image sqc3763 Fddd 70 orthorhombic {6,4} 8 (2,3)
Full image sqc418 P4222 93 tetragonal {4,6} 4 (2,2)
Full image sqc422 cdq P42/mmc 131 tetragonal {6,4} 4 (2,2)
Full image sqc426 P4222 93 tetragonal {6,4} 4 (2,2)
Full image sqc496 Cmma 67 orthorhombic {4,6} 4 (2,2)
Full image sqc514 Cmma 67 orthorhombic {4,6} 4 (2,2)
Full image sqc523 P42/mcm 132 tetragonal {6,4} 4 (2,2)

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 UQC168 *22222a (2,2,2) {6,4} {6.4.6.6.4.6}{6.4.6.4} No s‑net Snet sqc3248 Snet sqc418
Tiling details UQC169 *22222a (2,2,2) {6,4} {6.4.6.6.4.6}{6.4.6.4} Snet sqc2750 Snet sqc3474 Snet sqc426
Tiling details UQC170 *22222b (2,2,2) {6,4} {6.4.6.6.4.6}{6.4.6.4} Snet sqc11 Snet sqc3364 Snet sqc496
Tiling details UQC171 *22222b (2,2,2) {6,4} {6.4.6.6.4.6}{6.4.6.4} Snet sqc516 Snet sqc3566 Snet sqc11
Tiling details UQC172 *22222a (2,2,2) {6,4} {6.4.6.6.4.6}{6.4.6.4} Snet sqc320 Snet sqc3573 Snet sqc422
Tiling details UQC173 *22222b (2,2,2) {6,4} {6.4.6.6.4.6}{6.4.6.4} No s‑net Snet sqc3763 Snet sqc11
Tiling details UQC174 *22222b (2,2,2) {6,4} {6.4.6.6.4.6}{6.4.6.4} Snet sqc325 Snet sqc3562 Snet sqc11
Tiling details UQC175 *22222b (2,2,2) {6,4} {6.4.6.6.4.6}{6.4.6.4} Snet sqc11 Snet sqc3571 Snet sqc514
Tiling details UQC176 *22222a (2,2,2) {6,4} {6.4.6.6.4.6}{6.4.6.4} No s‑net Snet sqc3511 Snet sqc11
Tiling details UQC177 *22222a (2,2,2) {6,4} {6.4.6.6.4.6}{6.4.6.4} Snet sqc3535 Snet sqc3510 Snet sqc523

Symmetry-lowered hyperbolic tilings