h-net: hqc894


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,3,2)
Vertex degrees{3,12,3,4}
2D vertex symbol {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4}{4.4.4.4}
Vertex coordination sequence [(3, 30, 27, 165, 138, 849, 711, 4398, 3687, 22785), (12, 12, 76, 64, 400, 336, 2076, 1740, 10748, 9008), (3, 22, 19, 120, 101, 628, 527, 3259, 2732, 16877), (4, 4, 36, 32, 188, 156, 980, 824, 5096, 4272)]
Delaney-Dress Symbol <894.2:8:2 4 6 8,1 3 4 5 7 8,1 2 5 6 7 8:4 4,3 12 3 4>
Dual net hqc685

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 sqc13316 Pm-3n 223 cubic {3,12,3,4} 44 (4,3)
Full image sqc13317 I-43d 220 cubic {3,12,3,4} 44 (4,4)
Full image sqc10941 P-43m 215 cubic {3,4,3,12} 22 (4,3)

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 UQC4216 *344 (4,3,2) {3,12,3,4} {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}... Snet sqc13316 Snet sqc13317 Snet sqc10941

Symmetry-lowered hyperbolic tilings