h-net: hqc452


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{4,8,4}
2D vertex symbol {4.4.4.4}{4.3.3.4.4.3.3.4}{3.3.3.3}
Vertex coordination sequence [(4, 16, 44, 128, 372, 1072, 3100, 8960, 25892, 74832), (8, 24, 72, 208, 600, 1736, 5016, 14496, 41896), (4, 20, 52, 160, 460, 1324, 3832, 11076, 32004, 92496)]
Delaney-Dress Symbol <452.2:7:1 3 4 5 7,2 4 6 7,1 2 3 5 6 7:4 3,4 8 4>
Dual net hqc348

Derived s-nets

s-nets with faithful topology

18 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 sqc6529 I4/mmm 139 tetragonal {4,8,4} 10 (3,4)
Full image sqc6678 I4/mmm 139 tetragonal {4,8,4} 10 (3,4)
Full image sqc6682 Fmmm 69 orthorhombic {8,8,4,4,4} 10 (5,6)
Full image sqc6684 Fmmm 69 orthorhombic {4,4,4,8,8} 10 (5,6)
Full image sqc11773 P4/mmm 123 tetragonal {4,8,8,4,4} 20 (5,6)
Full image sqc11782 P4/mmm 123 tetragonal {4,8,8,4,4} 20 (5,6)
Full image sqc11772 I4122 98 tetragonal {4,8,8,4,4} 20 (5,7)
Full image sqc11804 I4122 98 tetragonal {4,8,8,4,4} 20 (5,7)
Full image sqc11805 I41/acd 142 tetragonal {4,8,4} 20 (3,4)
Full image sqc11859 I41/acd 142 tetragonal {4,8,4} 20 (3,4)
Full image sqc11884 Fddd 70 orthorhombic {4,8,8,4,4} 20 (5,7)
Full image sqc11891 Fddd 70 orthorhombic {4,8,8,4,4} 20 (5,7)
Full image sqc6414 Cmma 67 orthorhombic {8,4,4,4,8} 10 (5,6)
Full image sqc6418 P42/nnm 134 tetragonal {8,4,4} 10 (3,4)
Full image sqc6500 P4222 93 tetragonal {4,8,4,4,8} 10 (5,6)
Full image sqc6515 P4222 93 tetragonal {4,4,8,4,8} 10 (5,6)
Full image sqc6522 Cmma 67 orthorhombic {4,8,4,4,8} 10 (5,6)
Full image sqc6679 P42/nnm 134 tetragonal {8,4,4} 10 (3,4)

s-nets with edge collapse

No items to display.

Derived U-tilings

6 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC3338 *2224 (3,4,2) {4,8,4} {4.4.4.4}{4.3.3.4.4.3.3.4}{3.3.3.3} Snet sqc6678 Snet sqc11859 Snet sqc6679
Tiling details UQC3339 *2224 (3,4,2) {4,8,4} {4.4.4.4}{4.3.3.4.4.3.3.4}{3.3.3.3} Snet sqc6529 Snet sqc11805 Snet sqc6418
Tiling details UQC5822 *22222b (5,6,2) {4,8,8,4,4} {3.3.3.3}{3.4.4.3.3.4.4.3}{3.4.4... Snet sqc6682 Snet sqc11884 Snet sqc6414
Tiling details UQC5823 *22222b (5,6,2) {4,8,8,4,4} {3.3.3.3}{3.4.4.3.3.4.4.3}{3.4.4... Snet sqc6684 Snet sqc11891 Snet sqc6522
Tiling details UQC5824 *22222a (5,6,2) {4,8,8,4,4} {3.3.3.3}{3.4.4.3.3.4.4.3}{3.4.4... Snet sqc11782 Snet sqc11804 Snet sqc6500
Tiling details UQC5825 *22222a (5,6,2) {4,8,8,4,4} {3.3.3.3}{3.4.4.3.3.4.4.3}{3.4.4... Snet sqc11773 Snet sqc11772 Snet sqc6515

Symmetry-lowered hyperbolic tilings