h-net: hqc2059


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{3,4,6,4,4}
2D vertex symbol {4.4.4}{4.4.4.4}{4.4.4.4.4.4}{4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(3, 6, 15, 24, 51, 78, 171, 261, 561, 852), (4, 11, 18, 40, 62, 135, 206, 444, 673, 1443), (6, 12, 28, 44, 96, 146, 314, 476, 1020, 1548), (4, 8, 18, 28, 62, 96, 208, 316, 680, 1030), (4, 12, 20, 44, 68, 148, 224, 480, 728, 1560)]
Delaney-Dress Symbol <2059.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,3 4 6 4 4>
Dual net hqc1937

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 sqc14241 Pm-3m 221 cubic {3,4,6,4,4} 68 (5,5)
Full image sqc14240 I4132 214 cubic {3,4,6,4,4} 68 (5,6)
Full image sqc12759 P4232 208 cubic {4,4,6,4,3} 34 (5,5)

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 UQC5410 *2223 (5,5,2) {3,4,6,4,4} {4.4.4}{4.4.4.4}{4.4.4.4.4.4}{4.... Snet sqc14241 Snet sqc14240 Snet sqc12759

Symmetry-lowered hyperbolic tilings