h-net: hqc1608


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,12,8}
2D vertex symbol {16.16.16.16}{16.3.3.16}{16.3.3.16.3.3.16.3.3.16.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 12, 92, 252, 1044, 3036, 14220, 44744), (4, 26, 72, 330, 948, 4338, 13464, 57904), (12, 28, 140, 348, 1884, 5196, 24732, 71240), (8, 40, 96, 456, 1320, 6408, 18720, 83304)]
Delaney-Dress Symbol <1608.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:16 3,4 4 12 8>
Dual net hqc1390

Derived s-nets

s-nets with faithful topology

4 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 sqc3460 P-4m2 115 tetragonal {4,4,12,8} 7 (4,4)
Full image sqc3300 I-4 82 tetragonal {4,4,12,8} 7 (4,5)
Full image sqc3302 I-4m2 119 tetragonal {4,4,12,8} 7 (4,4)
Full image sqc3459 I-4m2 119 tetragonal {4,4,12,8} 7 (4,4)

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 UQC4762 *4444 (4,4,2) {4,4,12,8} {16.16.16.16}{16.3.3.16}{16.3.3.... Snet sqc2735 Snet sqc3300 Snet sqc3459
Tiling details UQC4763 *4444 (4,4,2) {4,4,12,8} {16.16.16.16}{16.3.3.16}{16.3.3.... Snet sqc3460 Snet sqc3300 Snet sqc3302

Symmetry-lowered hyperbolic tilings