h-net: hqc363


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,3,3)
Vertex degrees{5,4}
2D vertex symbol {4.6.4.6.4}{6.4.6.4}
Delaney-Dress Symbol <363.2:7:1 2 3 5 7,2 4 5 6 7,1 3 6 7:4 6 4,5 4>
Dual net hqc542

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 sqc1366 Fmmm 69 orthorhombic {5,4} 6 (2,3)
Full image sqc6823 P4/mmm 123 tetragonal {5,4} 12 (2,3)
Full image sqc6330 I4122 98 tetragonal {5,4} 12 (2,4)
Full image sqc6488 I4122 98 tetragonal {5,4} 12 (2,4)
Full image sqc6574 Fddd 70 orthorhombic {5,4} 12 (2,4)
Full image sqc6576 I4122 98 tetragonal {5,4} 12 (2,4)
Full image sqc6579 Fddd 70 orthorhombic {5,4} 12 (2,4)
Full image sqc6585 Fddd 70 orthorhombic {5,4} 12 (2,4)
Full image sqc6586 Fddd 70 orthorhombic {5,4} 12 (2,4)
Full image sqc6703 Fddd 70 orthorhombic {5,4} 12 (2,4)
Full image sqc6822 I4122 98 tetragonal {5,4} 12 (2,4)
Full image sqc6830 I4122 98 tetragonal {5,4} 12 (2,4)
Full image sqc65 Pmmm 47 orthorhombic {4,5} 3 (2,3)
Full image sqc73 Pmmm 47 orthorhombic {5,4} 3 (2,3)
Full image sqc1214 P4222 93 tetragonal {5,4} 6 (2,3)
Full image sqc1315 P4222 93 tetragonal {4,5} 6 (2,3)
Full image sqc1317 P42/mmc 131 tetragonal {4,5} 6 (2,3)
Full image sqc1365 Cmma 67 orthorhombic {4,5} 6 (2,3)
Full image sqc1367 Cmma 67 orthorhombic {5,4} 6 (2,3)
Full image sqc1368 P4222 93 tetragonal {4,5} 6 (2,3)
Full image sqc1418 P4222 93 tetragonal {4,5} 6 (2,3)

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 UQC547 *22222a (2,3,3) {5,4} {4.6.4.6.4}{6.4.6.4} No s‑net Snet sqc6330 Snet sqc1214
Tiling details UQC548 *22222a (2,3,3) {5,4} {4.6.4.6.4}{6.4.6.4} Snet sqc942 Snet sqc6488 Snet sqc1315
Tiling details UQC549 *22222a (2,3,3) {5,4} {4.6.4.6.4}{6.4.6.4} Snet sqc5513 Snet sqc6576 Snet sqc1317
Tiling details UQC550 *22222b (2,3,3) {5,4} {4.6.4.6.4}{6.4.6.4} Snet sqc970 Snet sqc6574 Snet sqc73
Tiling details UQC551 *22222b (2,3,3) {5,4} {4.6.4.6.4}{6.4.6.4} Snet sqc1366 Snet sqc6585 Snet sqc65
Tiling details UQC552 *22222b (2,3,3) {5,4} {4.6.4.6.4}{6.4.6.4} Snet sqc65 Snet sqc6579 Snet sqc1365
Tiling details UQC553 *22222b (2,3,3) {5,4} {4.6.4.6.4}{6.4.6.4} Snet sqc65 Snet sqc6586 Snet sqc1367
Tiling details UQC554 *22222b (2,3,3) {5,4} {4.6.4.6.4}{6.4.6.4} No s‑net Snet sqc6703 Snet sqc65
Tiling details UQC555 *22222a (2,3,3) {5,4} {4.6.4.6.4}{6.4.6.4} No s‑net Snet sqc6830 Snet sqc1368
Tiling details UQC556 *22222a (2,3,3) {5,4} {4.6.4.6.4}{6.4.6.4} Snet sqc6823 Snet sqc6822 Snet sqc1418

Symmetry-lowered hyperbolic tilings