h-net: hqc1578


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,16,3,6}
2D vertex symbol {4.4.4.4}{4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4}{4.3.3}{3.3.3.3.3.3}
Vertex coordination sequence [(4, 52, 40, 360, 280, 2464, 1924, 16884, 13192, 115720), (16, 16, 136, 108, 940, 736, 6448, 5040, 44200, 34540), (3, 28, 35, 209, 228, 1449, 1545, 9952, 10567, 68237), (6, 36, 33, 267, 213, 1845, 1446, 12660, 9897, 86787)]
Delaney-Dress Symbol <1578.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,4 16 3 6>
Dual net hqc1376

Derived s-nets

s-nets with faithful topology

3 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 sqc13814 Pm-3n 223 cubic {4,16,3,6} 44 (4,4)
Full image sqc13815 I-43d 220 cubic {4,16,3,6} 44 (4,5)
Full image sqc12114 P-43m 215 cubic {6,3,16,4} 22 (4,4)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC4722 *344 (4,4,2) {4,16,3,6} {4.4.4.4}{4.3.3.4.4.3.3.4.4.3.3.... Snet sqc13814 Snet sqc13815 Snet sqc12114

Symmetry-lowered hyperbolic tilings