h-net: hqc1841


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,6,6}
2D vertex symbol {5.5.5.5}{5.3.3.5}{5.3.3.5.3.3}{3.3.3.3.3.3}
Vertex coordination sequence [(4, 12, 24, 40, 68, 124, 220, 388, 668, 1188), (4, 12, 20, 38, 66, 120, 206, 364, 640, 1128), (6, 10, 22, 36, 74, 118, 214, 368, 670, 1150), (6, 12, 18, 42, 66, 126, 204, 384, 648, 1182)]
Delaney-Dress Symbol <1841.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:5 3,4 4 6 6>
Dual net hqc1719

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 sqc14086 Pm-3m 221 cubic {4,4,6,6} 56 (4,5)
Full image sqc14087 I4132 214 cubic {4,4,6,6} 56 (4,6)
Full image sqc12524 P4232 208 cubic {4,6,6,4} 28 (4,5)

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 UQC5012 *2223 (4,5,2) {4,4,6,6} {5.5.5.5}{5.3.3.5}{5.3.3.5.3.3}{... Snet sqc14086 Snet sqc14087 Snet sqc12524

Symmetry-lowered hyperbolic tilings