h-net: hqc359


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,3,3)
Vertex degrees{10,4}
2D vertex symbol {4.3.4.3.4.4.3.4.3.4}{3.4.3.4}
Delaney-Dress Symbol <359.2:7:1 2 3 5 7,2 4 5 6 7,1 3 6 7:4 3 4,10 4>
Dual net hqc551

Derived s-nets

s-nets with faithful topology

18 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 sqc1267 Fmmm 69 orthorhombic {10,4} 4 (2,3)
Full image sqc6246 I4122 98 tetragonal {10,4} 8 (2,4)
Full image sqc6273 I4122 98 tetragonal {10,4} 8 (2,4)
Full image sqc6342 Fddd 70 orthorhombic {10,4} 8 (2,4)
Full image sqc6343 Fddd 70 orthorhombic {10,4} 8 (2,4)
Full image sqc6344 I4122 98 tetragonal {10,4} 8 (2,4)
Full image sqc6345 Fddd 70 orthorhombic {10,4} 8 (2,4)
Full image sqc6387 Fddd 70 orthorhombic {10,4} 8 (2,4)
Full image sqc6466 Fddd 70 orthorhombic {10,4} 8 (2,4)
Full image sqc6489 I4122 98 tetragonal {10,4} 8 (2,4)
Full image sqc6490 I4122 98 tetragonal {10,4} 8 (2,4)
Full image sqc39 P4/mmm 123 tetragonal {10,4} 2 (2,3)
Full image sqc1132 P4222 93 tetragonal {10,4} 4 (2,3)
Full image sqc1264 P4222 93 tetragonal {10,4} 4 (2,3)
Full image sqc1266 Cmma 67 orthorhombic {4,10} 4 (2,3)
Full image sqc1270 P4222 93 tetragonal {10,4} 4 (2,3)
Full image sqc1297 Cmma 67 orthorhombic {4,10} 4 (2,3)
Full image sqc1298 P4222 93 tetragonal {4,10} 4 (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 UQC532 *22222a (2,3,3) {10,4} {4.3.4.3.4.4.3.4.3.4}{3.4.3.4} No s‑net Snet sqc6489 Snet sqc39
Tiling details UQC533 *22222a (2,3,3) {10,4} {4.3.4.3.4.4.3.4.3.4}{3.4.3.4} Snet sqc4099 Snet sqc6246 Snet sqc1132
Tiling details UQC534 *22222b (2,3,3) {10,4} {4.3.4.3.4.4.3.4.3.4}{3.4.3.4} Snet sqc21 Snet sqc6466 Snet sqc1297
Tiling details UQC535 *22222b (2,3,3) {10,4} {4.3.4.3.4.4.3.4.3.4}{3.4.3.4} No s‑net Snet sqc6342 Snet sqc39
Tiling details UQC536 *22222b (2,3,3) {10,4} {4.3.4.3.4.4.3.4.3.4}{3.4.3.4} Snet sqc21 Snet sqc6345 Snet sqc1266
Tiling details UQC537 *22222b (2,3,3) {10,4} {4.3.4.3.4.4.3.4.3.4}{3.4.3.4} Snet sqc1267 Snet sqc6387 Snet sqc21
Tiling details UQC538 *22222b (2,3,3) {10,4} {4.3.4.3.4.4.3.4.3.4}{3.4.3.4} Snet sqc998 Snet sqc6343 Snet sqc21
Tiling details UQC539 *22222a (2,3,3) {10,4} {4.3.4.3.4.4.3.4.3.4}{3.4.3.4} Snet sqc999 Snet sqc6344 Snet sqc1264
Tiling details UQC540 *22222a (2,3,3) {10,4} {4.3.4.3.4.4.3.4.3.4}{3.4.3.4} No s‑net Snet sqc6273 Snet sqc1270
Tiling details UQC541 *22222a (2,3,3) {10,4} {4.3.4.3.4.4.3.4.3.4}{3.4.3.4} Snet sqc5014 Snet sqc6490 Snet sqc1298

Symmetry-lowered hyperbolic tilings