h-net: hqc802


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{3,3,8}
2D vertex symbol {6.5.6}{6.5.5}{5.5.5.5.5.5.5.5}
Vertex coordination sequence [(3, 6, 18, 67, 224, 707, 2162, 6590, 20167, 61752), (3, 11, 37, 117, 374, 1153, 3531, 10815, 33087, 101296), (8, 36, 116, 360, 1088, 3320, 10172, 31148, 95384)]
Delaney-Dress Symbol <802.2:8:1 3 5 7 8,2 3 4 6 8,1 4 5 6 7 8:6 5,3 3 8>
Dual net hqc631

Derived s-nets

s-nets with faithful topology

5 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 sqc7560 I4/mmm 139 tetragonal {8,3,3} 18 (3,4)
Full image sqc12305 I41/acd 142 tetragonal {3,3,8} 36 (3,5)
Full image sqc12307 I41/acd 142 tetragonal {3,3,8} 36 (3,5)
Full image sqc7418 P42/nnm 134 tetragonal {3,3,8} 18 (3,4)
Full image sqc7524 P42/nnm 134 tetragonal {3,3,8} 18 (3,4)

s-nets with edge collapse


Derived U-tilings

2 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC3654 *2224 (3,4,2) {3,3,8} {6.5.6}{6.5.5}{5.5.5.5.5.5.5.5} Snet sqc1508 Snet sqc12305 Snet sqc7418
Tiling details UQC3655 *2224 (3,4,2) {3,3,8} {6.5.6}{6.5.5}{5.5.5.5.5.5.5.5} Snet sqc7560 Snet sqc12307 Snet sqc7524

Symmetry-lowered hyperbolic tilings