h-net: hqc1969


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{6,3}
2D vertex symbol {3.4.4.6.4.4}{4.4.6}
Vertex coordination sequence [(6, 18, 38, 70, 130, 248, 470, 882, 1658, 3126), (3, 7, 20, 48, 95, 176, 329, 623, 1176, 2211)]
Delaney-Dress Symbol <1969.2:12:1 2 3 4 6 8 9 10 11 12,1 3 5 12 7 9 11,2 4 7 8 10 12:3 4 4 6 4,6 3>
Dual net hqc2086

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 sqc14217 Pm-3m 221 cubic {6,3} 72 (2,5)
Full image sqc14212 I4132 214 cubic {6,3,3} 72 (3,6)
Full image sqc12733 P4232 208 cubic {6,3} 36 (2,5)

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 UQC2621 *2223 (2,5,5) {6,3} {3.4.4.6.4.4}{4.4.6} Snet sqc14217 Snet sqc14212 Snet sqc12733

Symmetry-lowered hyperbolic tilings