h-net: hqc1003


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{3,6}
2D vertex symbol {4.8.6}{6.8.8.6.8.8}
Delaney-Dress Symbol <1003.2:9:1 2 3 5 7 8 9,2 4 5 8 9,3 8 6 7 9:4 6 8,3 6>
Dual net hqc1188

Derived s-nets

s-nets with faithful topology

22 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 sqc294 P4/mmm 123 tetragonal {3,6} 5 (2,3)
Full image sqc2781 Fmmm 69 orthorhombic {6,3} 10 (2,4)
Full image sqc9042 P4/mmm 123 tetragonal {6,3} 20 (2,4)
Full image sqc8460 I4122 98 tetragonal {6,3,3} 20 (3,5)
Full image sqc8699 I4122 98 tetragonal {6,3,3} 20 (3,5)
Full image sqc8708 Fddd 70 orthorhombic {6,3,3} 20 (3,5)
Full image sqc8709 I4122 98 tetragonal {6,3,3} 20 (3,5)
Full image sqc8716 Fddd 70 orthorhombic {6,3,3} 20 (3,5)
Full image sqc8717 Fddd 70 orthorhombic {6,3,3} 20 (3,5)
Full image sqc8923 Fddd 70 orthorhombic {6,3,3} 20 (3,5)
Full image sqc8927 Fddd 70 orthorhombic {6,3,3} 20 (3,5)
Full image sqc9043 I4122 98 tetragonal {6,3,3} 20 (3,5)
Full image sqc9047 I4122 98 tetragonal {6,3,3} 20 (3,5)
Full image sqc295 Pmmm 47 orthorhombic {3,6} 5 (2,4)
Full image sqc2470 P4222 93 tetragonal {3,6} 10 (2,4)
Full image sqc2471 P4222 93 tetragonal {3,6} 10 (2,4)
Full image sqc2479 P4222 93 tetragonal {3,6} 10 (2,4)
Full image sqc2782 Cmma 67 orthorhombic {3,6} 10 (2,4)
Full image sqc2783 Cmma 67 orthorhombic {3,6} 10 (2,4)
Full image sqc2971 P42/mmc 131 tetragonal {3,6} 10 (2,4)
Full image sqc2986 P4222 93 tetragonal {3,6} 10 (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 UQC1094 *22222a (2,4,3) {6,3} {4.8.6}{6.8.8.6.8.8} No s‑net Snet sqc8460 Snet sqc2479
Tiling details UQC1095 *22222a (2,4,3) {6,3} {4.8.6}{6.8.8.6.8.8} Snet sqc8351 Snet sqc8699 Snet sqc2471
Tiling details UQC1096 *22222b (2,4,3) {6,3} {4.8.6}{6.8.8.6.8.8} Snet sqc294 Snet sqc8927 Snet sqc2783
Tiling details UQC1097 *22222b (2,4,3) {6,3} {4.8.6}{6.8.8.6.8.8} Snet sqc2781 Snet sqc8717 Snet sqc294
Tiling details UQC1098 *22222a (2,4,3) {6,3} {4.8.6}{6.8.8.6.8.8} Snet sqc2281 Snet sqc8709 Snet sqc2470
Tiling details UQC1099 *22222b (2,4,3) {6,3} {4.8.6}{6.8.8.6.8.8} Snet sqc2280 Snet sqc8716 Snet sqc294
Tiling details UQC1100 *22222b (2,4,3) {6,3} {4.8.6}{6.8.8.6.8.8} No s‑net Snet sqc8923 Snet sqc295
Tiling details UQC1101 *22222b (2,4,3) {6,3} {4.8.6}{6.8.8.6.8.8} Snet sqc294 Snet sqc8708 Snet sqc2782
Tiling details UQC1102 *22222a (2,4,3) {6,3} {4.8.6}{6.8.8.6.8.8} Snet sqc9042 Snet sqc9043 Snet sqc2986
Tiling details UQC1103 *22222a (2,4,3) {6,3} {4.8.6}{6.8.8.6.8.8} No s‑net Snet sqc9047 Snet sqc2971

Symmetry-lowered hyperbolic tilings