h-net: hqc906


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,3,2)
Vertex degrees{3,3,3,4}
2D vertex symbol {4.4.4}{4.16.4}{4.16.16}{16.16.16.16}
Vertex coordination sequence [(3, 3, 3, 9, 18, 27, 27, 54, 105, 150), (3, 4, 7, 13, 21, 24, 45, 80, 120, 129), (3, 6, 9, 15, 21, 36, 54, 88, 117, 192), (4, 8, 12, 12, 24, 48, 72, 68, 128, 252)]
Delaney-Dress Symbol <906.2:8:2 4 6 8,1 3 4 5 7 8,1 2 5 6 7 8:4 16,3 3 3 4>
Dual net hqc681

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 sqc13551 Pm-3n 223 cubic {3,3,3,4} 62 (4,3)
Full image sqc13539 I-43d 220 cubic {3,3,3,4} 62 (4,4)
Full image sqc11243 P-43m 215 cubic {3,3,3,4} 31 (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 UQC4232 *344 (4,3,2) {3,3,3,4} {4.4.4}{4.16.4}{4.16.16}{16.16.1... Snet sqc13551 Snet sqc13539 Snet sqc11243

Symmetry-lowered hyperbolic tilings