h-net: hqc852


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,8,3}
2D vertex symbol {5.5.3.3}{3.3.3.3}{5.5.5.5.5.5.5.5}{5.5.5}
Vertex coordination sequence [(4, 10, 28, 70, 152, 356, 796, 1856, 4126, 9622), (4, 4, 24, 56, 128, 252, 668, 1352, 3456, 7024), (8, 20, 52, 104, 272, 552, 1408, 2860, 7292, 14800), (3, 21, 45, 111, 228, 576, 1167, 2985, 6057, 15459)]
Delaney-Dress Symbol <852.2:8:1 6 3 5 8,2 4 5 7 8,3 2 4 5 6 7 8:5 3,4 4 8 3>
Dual net hqc580

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 sqc13369 Pm-3n 223 cubic {4,8,4,3} 44 (4,4)
Full image sqc13372 I-43d 220 cubic {4,8,4,3} 44 (4,4)
Full image sqc11013 P-43m 215 cubic {8,4,4,3} 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 UQC4177 *344 (4,4,2) {4,4,8,3} {5.5.3.3}{3.3.3.3}{5.5.5.5.5.5.5... Snet sqc13369 Snet sqc13372 Snet sqc11013

Symmetry-lowered hyperbolic tilings