h-net: hqc2355


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(6,6,2)
Vertex degrees{4,8,4,3,8,8}
2D vertex symbol {6.6.6.6}{6.6.6.6.6.6.6.6}{6.4.4.6}{6.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(4, 28, 80, 360, 1120, 4628, 14732, 59472), (8, 24, 112, 344, 1440, 4568, 18504, 59248), (4, 16, 52, 208, 668, 2672, 8588, 34336, 110356), (3, 11, 41, 136, 527, 1709, 6773, 21824, 87035), (8, 32, 112, 376, 1440, 4688, 18504, 59696), (8, 28, 100, 360, 1196, 4628, 15016, 59472)]
Delaney-Dress Symbol <2355.2:14:2 4 6 8 10 12 14,1 3 5 6 9 14 11 13,1 2 3 4 7 8 9 10 11 12 13 14:6 4,4 8 4 3 8 8>
Dual net hqc2295

Derived s-nets

s-nets with faithful topology

5 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 sqc6426 P-4m2 115 tetragonal {4,8,4,3,8,8} 12 (6,6)
Full image sqc6376 I-4 82 tetragonal {4,8,4,3,8,8} 12 (6,7)
Full image sqc6379 I-4 82 tetragonal {4,8,4,3,8,8} 12 (6,7)
Full image sqc6378 I-4m2 119 tetragonal {4,8,4,3,8,8} 12 (6,6)
Full image sqc6427 I-4m2 119 tetragonal {4,8,4,3,8,8} 12 (6,6)

s-nets with edge collapse


Derived U-tilings

2 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC5897 *4444 (6,6,2) {4,8,4,3,8,8} {6.6.6.6}{6.6.6.6.6.6.6.6}{6.4.4... Snet sqc6426 Snet sqc6379 Snet sqc6378
Tiling details UQC5898 *4444 (6,6,2) {4,8,4,3,8,8} {6.6.6.6}{6.6.6.6.6.6.6.6}{6.4.4... Snet sqc4722 Snet sqc6376 Snet sqc6427

Symmetry-lowered hyperbolic tilings