h-net: hqc910


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,3,2)
Vertex degrees{3,4,8,4}
2D vertex symbol {4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(3, 6, 21, 36, 111, 186, 585, 975, 3033, 5052), (4, 15, 26, 82, 138, 433, 722, 2248, 3743, 11639), (8, 16, 52, 88, 276, 460, 1432, 2384, 7412, 12344), (4, 8, 24, 40, 128, 216, 676, 1128, 3516, 5852)]
Delaney-Dress Symbol <910.2:8:2 4 6 8,1 3 4 7 6 8,1 2 5 6 7 8:4 4,3 4 8 4>
Dual net hqc715

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 sqc13362 Pm-3n 223 cubic {3,4,8,4} 44 (4,3)
Full image sqc13365 I-43d 220 cubic {3,4,8,4} 44 (4,4)
Full image sqc11005 P-43m 215 cubic {8,4,3,4} 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 UQC4243 *344 (4,3,2) {3,4,8,4} {4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4... Snet sqc13362 Snet sqc13365 Snet sqc11005

Symmetry-lowered hyperbolic tilings