h-net: hqc551


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{4,3,4}
2D vertex symbol {10.10.10.10}{10.4.10}{10.4.10.4}
Delaney-Dress Symbol <551.2:7:1 3 5 7,2 4 5 6 7,1 2 3 6 7:10 4,4 3 4>
Dual net hqc359

Derived s-nets

s-nets with faithful topology

21 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 sqc69 Pmmm 47 orthorhombic {4,4,3} 4 (3,3)
Full image sqc1386 Fmmm 69 orthorhombic {3,4,4} 8 (3,3)
Full image sqc6953 P4/mmm 123 tetragonal {4,3,4} 16 (3,3)
Full image sqc6645 I4122 98 tetragonal {4,3,4} 16 (3,4)
Full image sqc6659 Fddd 70 orthorhombic {4,3,4} 16 (3,4)
Full image sqc6660 Fddd 70 orthorhombic {4,3,4} 16 (3,4)
Full image sqc6661 Fddd 70 orthorhombic {4,3,4} 16 (3,4)
Full image sqc6662 I4122 98 tetragonal {4,3,4} 16 (3,4)
Full image sqc6710 Fddd 70 orthorhombic {4,3,4} 16 (3,4)
Full image sqc6923 I4122 98 tetragonal {4,3,4} 16 (3,4)
Full image sqc6948 I4122 98 tetragonal {4,3,4} 16 (3,4)
Full image sqc6960 I4122 98 tetragonal {4,3,4} 16 (3,4)
Full image sqc6961 Fddd 70 orthorhombic {4,3,4} 16 (3,4)
Full image sqc1257 P4222 93 tetragonal {3,4,4} 8 (3,3)
Full image sqc1258 P4222 93 tetragonal {3,4,4} 8 (3,3)
Full image sqc1387 Cmma 67 orthorhombic {4,3,4} 8 (3,3)
Full image sqc1392 P42/mmc 131 tetragonal {4,3,4} 8 (3,3)
Full image sqc1402 Cmma 67 orthorhombic {3,4,4} 8 (3,3)
Full image sqc1438 P42/mmc 131 tetragonal {4,3,4} 8 (3,3)
Full image sqc1439 P42/mcm 132 tetragonal {3,4,4} 8 (3,3)

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 UQC3470 *22222a (3,3,2) {4,3,4} {10.10.10.10}{10.4.10}{10.4.10.4} No s‑net Snet sqc6960 Snet sqc1258
Tiling details UQC3471 *22222a (3,3,2) {4,3,4} {10.10.10.10}{10.4.10}{10.4.10.4} Snet sqc5922 Snet sqc6645 Snet sqc1257
Tiling details UQC3472 *22222b (3,3,2) {4,3,4} {10.10.10.10}{10.4.10}{10.4.10.4} Snet sqc69 Snet sqc6661 Snet sqc1387
Tiling details UQC3473 *22222a (3,3,2) {4,3,4} {10.10.10.10}{10.4.10}{10.4.10.4} No s‑net Snet sqc6948 Snet sqc1392
Tiling details UQC3474 *22222b (3,3,2) {4,3,4} {10.10.10.10}{10.4.10}{10.4.10.4} No s‑net Snet sqc6961 Snet sqc69
Tiling details UQC3475 *22222b (3,3,2) {4,3,4} {10.10.10.10}{10.4.10}{10.4.10.4} Snet sqc1386 Snet sqc6659 Snet sqc69
Tiling details UQC3476 *22222b (3,3,2) {4,3,4} {10.10.10.10}{10.4.10}{10.4.10.4} Snet sqc69 Snet sqc6710 Snet sqc1402
Tiling details UQC3477 *22222b (3,3,2) {4,3,4} {10.10.10.10}{10.4.10}{10.4.10.4} Snet sqc1121 Snet sqc6660 Snet sqc69
Tiling details UQC3478 *22222a (3,3,2) {4,3,4} {10.10.10.10}{10.4.10}{10.4.10.4} Snet sqc6116 Snet sqc6662 Snet sqc1438
Tiling details UQC3479 *22222a (3,3,2) {4,3,4} {10.10.10.10}{10.4.10}{10.4.10.4} Snet sqc6953 Snet sqc6923 Snet sqc1439

Symmetry-lowered hyperbolic tilings