h-net: hqc1155


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,4,3}
2D vertex symbol {3.6.6.3}{3.6.3.6}{6.6.6.6}{6.6.6}
Vertex coordination sequence [(4, 8, 14, 26, 46, 74, 132, 220, 382, 636), (4, 6, 14, 24, 42, 70, 120, 212, 344, 608), (4, 10, 18, 32, 54, 96, 156, 276, 458, 798), (3, 9, 21, 30, 54, 93, 162, 261, 465, 777)]
Delaney-Dress Symbol <1155.2:9:1 3 5 7 9,2 3 6 5 8 9,1 4 5 6 7 8 9:3 6,4 4 4 3>
Dual net hqc955

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 sqc13734 Pm-3m 221 cubic {4,4,4,3} 56 (4,4)
Full image sqc13733 I4132 214 cubic {4,4,4,3} 56 (4,5)
Full image sqc11704 P4232 208 cubic {4,4,3,4} 28 (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 UQC4300 *2223 (4,4,2) {4,4,4,3} {3.6.6.3}{3.6.3.6}{6.6.6.6}{6.6.6} Snet sqc13734 Snet sqc13733 Snet sqc11704

Symmetry-lowered hyperbolic tilings