h-net: hqc472


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,4,2)
Vertex degrees{4,6}
2D vertex symbol {3.8.8.3}{3.8.8.3.8.8}
Delaney-Dress Symbol <472.2:7:1 3 5 6 7,2 3 6 7,1 4 5 6 7:3 8,4 6>
Dual net hqc478

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 sqc63 Pmmm 47 orthorhombic {6,4} 3 (2,4)
Full image sqc1359 Fmmm 69 orthorhombic {6,4} 6 (2,4)
Full image sqc6596 P4/mmm 123 tetragonal {4,6} 12 (2,4)
Full image sqc6322 I4122 98 tetragonal {4,6} 12 (2,5)
Full image sqc6543 Fddd 70 orthorhombic {4,6} 12 (2,5)
Full image sqc6546 I4122 98 tetragonal {4,6} 12 (2,5)
Full image sqc6557 I4122 98 tetragonal {4,6} 12 (2,5)
Full image sqc6560 Fddd 70 orthorhombic {4,6} 12 (2,5)
Full image sqc6561 Fddd 70 orthorhombic {4,6} 12 (2,5)
Full image sqc6595 I4122 98 tetragonal {4,6} 12 (2,5)
Full image sqc6734 Fddd 70 orthorhombic {4,6} 12 (2,5)
Full image sqc6735 Fddd 70 orthorhombic {4,6} 12 (2,5)
Full image sqc6789 I4122 98 tetragonal {4,6} 12 (2,5)
Full image sqc1205 P42/mmc 131 tetragonal {4,6} 6 (2,4)
Full image sqc1242 P4222 93 tetragonal {6,4} 6 (2,4)
Full image sqc1243 P4222 93 tetragonal {4,6} 6 (2,4)
Full image sqc1322 P42/mmc 131 tetragonal {6,4} 6 (2,4)
Full image sqc1373 P42/mcm 132 tetragonal {6,4} 6 (2,4)
Full image sqc1399 Cmma 67 orthorhombic {6,4} 6 (2,4)
Full image sqc1421 Cmma 67 orthorhombic {6,4} 6 (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 UQC344 *22222a (2,4,2) {4,6} {3.8.8.3}{3.8.8.3.8.8} No s‑net Snet sqc6322 Snet sqc1243
Tiling details UQC345 *22222b (2,4,2) {4,6} {3.8.8.3}{3.8.8.3.8.8} Snet sqc63 Snet sqc6543 Snet sqc1399
Tiling details UQC346 *22222a (2,4,2) {4,6} {3.8.8.3}{3.8.8.3.8.8} Snet sqc6025 Snet sqc6546 Snet sqc1205
Tiling details UQC347 *22222a (2,4,2) {4,6} {3.8.8.3}{3.8.8.3.8.8} No s‑net Snet sqc6789 Snet sqc1322
Tiling details UQC348 *22222b (2,4,2) {4,6} {3.8.8.3}{3.8.8.3.8.8} Snet sqc1117 Snet sqc6560 Snet sqc63
Tiling details UQC349 *22222a (2,4,2) {4,6} {3.8.8.3}{3.8.8.3.8.8} Snet sqc6596 Snet sqc6595 Snet sqc1373
Tiling details UQC350 *22222b (2,4,2) {4,6} {3.8.8.3}{3.8.8.3.8.8} No s‑net Snet sqc6735 Snet sqc63
Tiling details UQC351 *22222b (2,4,2) {4,6} {3.8.8.3}{3.8.8.3.8.8} Snet sqc63 Snet sqc6734 Snet sqc1421
Tiling details UQC352 *22222b (2,4,2) {4,6} {3.8.8.3}{3.8.8.3.8.8} Snet sqc1359 Snet sqc6561 Snet sqc63
Tiling details UQC353 *22222a (2,4,2) {4,6} {3.8.8.3}{3.8.8.3.8.8} Snet sqc6018 Snet sqc6557 Snet sqc1242

Symmetry-lowered hyperbolic tilings