h-net: hqc217


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(2,3,3)
Vertex degrees{3,9}
2D vertex symbol {4.4.4}{4.4.4.4.4.4.4.4.4}
Vertex coordination sequence [(3, 9, 40, 161, 606, 2262, 8442, 31506, 117582), (9, 42, 162, 606, 2262, 8442, 31506, 117582)]
Delaney-Dress Symbol <217.2:6:1 2 4 5 6,1 3 5 6,2 3 4 6:4 4 4,3 9>
Dual net hqc300

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 sqc12590 Pm-3n 223 cubic {3,9} 32 (2,3)
Full image sqc12592 I-43d 220 cubic {3,9} 32 (2,3)
Full image sqc8842 P-43m 215 cubic {3,9} 16 (2,3)

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 UQC449 *344 (2,3,3) {3,9} {4.4.4}{4.4.4.4.4.4.4.4.4} Snet sqc12590 Snet sqc12592 Snet sqc8842

Symmetry-lowered hyperbolic tilings