h-net: hqc464


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{4,4,4}
2D vertex symbol {8.8.8.8}{8.3.3.8}{3.3.3.3}
Vertex coordination sequence [(4, 12, 24, 40, 80, 172, 340, 656, 1292, 2564), (4, 6, 16, 40, 76, 138, 272, 552, 1096, 2150), (4, 4, 12, 36, 72, 124, 236, 492, 984, 1924)]
Delaney-Dress Symbol <464.2:7:1 3 4 5 7,2 4 6 7,1 2 3 5 6 7:8 3,4 4 4>
Dual net hqc345

Derived s-nets

s-nets with faithful topology

14 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 sqc1261 P4/mmm 123 tetragonal {4,4,4} 7 (3,4)
Full image sqc6653 Fmmm 69 orthorhombic {4,4,4,4,4} 14 (5,7)
Full image sqc6848 I4/mmm 139 tetragonal {4,4,4} 14 (3,4)
Full image sqc11822 I4122 98 tetragonal {4,4,4,4,4} 28 (5,8)
Full image sqc11823 Fddd 70 orthorhombic {4,4,4,4,4} 28 (5,8)
Full image sqc11827 I4122 98 tetragonal {4,4,4,4,4} 28 (5,8)
Full image sqc11828 Fddd 70 orthorhombic {4,4,4,4,4} 28 (5,8)
Full image sqc11953 I41/acd 142 tetragonal {4,4,4} 28 (3,4)
Full image sqc11955 I41/acd 142 tetragonal {4,4,4} 28 (3,4)
Full image sqc1382 I4/mmm 139 tetragonal {4,4,4} 7 (3,4)
Full image sqc6336 P4222 93 tetragonal {4,4,4,4,4} 14 (5,7)
Full image sqc6339 P4222 93 tetragonal {4,4,4,4,4} 14 (5,7)
Full image sqc6669 Cmma 67 orthorhombic {4,4,4,4,4} 14 (5,7)
Full image sqc6849 P42/nnm 134 tetragonal {4,4,4} 14 (3,4)

s-nets with edge collapse


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 UQC3356 *2224 (3,4,2) {4,4,4} {8.8.8.8}{8.3.3.8}{3.3.3.3} Snet sqc1261 Snet sqc11953 Snet sqc6849
Tiling details UQC3357 *2224 (3,4,2) {4,4,4} {8.8.8.8}{8.3.3.8}{3.3.3.3} Snet sqc6848 Snet sqc11955 Snet sqc1382
Tiling details UQC5765 *22222a (5,7,2) {4,4,4,4,4} {8.8.8.8}{8.3.3.8}{8.8.3.3}{3.3.... Snet sqc11699 Snet sqc11822 Snet sqc6336
Tiling details UQC5766 *22222a (5,7,2) {4,4,4,4,4} {8.8.8.8}{8.3.3.8}{8.8.3.3}{3.3.... Snet sqc11701 Snet sqc11827 Snet sqc6339
Tiling details UQC5767 *22222b (5,7,2) {4,4,4,4,4} {8.8.8.8}{8.3.3.8}{8.8.3.3}{3.3.... Snet sqc6171 Snet sqc11823 Snet sqc6669
Tiling details UQC5768 *22222b (5,7,2) {4,4,4,4,4} {8.8.8.8}{8.3.3.8}{8.8.3.3}{3.3.... Snet sqc6653 Snet sqc11828 Snet sqc1261

Symmetry-lowered hyperbolic tilings