## Euclidean Patterns in Non-Euclidean Tilings |

The EPINET researchers have collected some well–known examples of 3–periodic networks. This list is currently very small—we plan to expand it as we further develop the site. In the meantime, if you recognise a net within the EPINET database that you would like to see identified on this page, please contact us.

Click on the small image of each network to see a larger image of that network or click on the network name to see a page of details for that network.

*Note on notation:* The lower–case three–letter
names are those used by
Michael O'Keeffe
in his
RCSR
(Reticular Chemistry Structure Resource).
The upper–case three–letter names are those used by the
International Zeolite Association.
Names of the form KF 3/4/c9 refer to
Koch and Fischer's enumeration of homogenous
sphere packings.

To see all of the known networks on a single page, use this link

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Image | Network | Other Names | Space Group | Space Group Number | Symmetry Class | Chiral | Vertex Degree | Nodes/Primitive Unit Cell | Transitivity (Vertex,Edge) |
---|---|---|---|---|---|---|---|---|---|

sqc1 | pcu, primitive cubic lattice | Pm-3m | 221 | cubic | N | {6} | 1 | (1,1) | |

sqc3 | bcu, body-centered cubic, 8/4/c1 | Im-3m | 229 | cubic | N | {8} | 1 | (1,1) | |

sqc4 | hexagonal primitive hex | P6/mmm | 191 | hexagonal | N | {8} | 1 | (1,2) | |

sqc5 | cds | P42/mmc | 131 | tetragonal | N | {4} | 2 | (1,2) | |

sqc6 | dia, diamond | Fd-3m | 227 | cubic | N | {4} | 2 | (1,1) | |

sqc8 | bct | I4/mmm | 139 | tetragonal | N | {10} | 1 | (1,2) | |

sqc10 | fsg | Pmmm | 47 | orthorhombic | N | {4,6} | 2 | (2,4) | |

sqc11 | fsc | P4/mmm | 123 | tetragonal | N | {4,6} | 2 | (2,2) | |

sqc12 | bnn, BN (trigonal bipyramid coordination) | P6/mmm | 191 | hexagonal | N | {5} | 2 | (1,2) | |

sqc13 | sqp, 5/4/t6, square pyramid net | I4/mmm | 139 | tetragonal | N | {5} | 2 | (1,2) | |

sqc19 | fcu, face-centered cubic, cubic closest packing, ccp | Fm-3m | 225 | cubic | N | {12} | 1 | (1,1) | |

sqc26 | msw | P42/nnm | 134 | tetragonal | N | {6} | 2 | (1,2) | |

sqc29 | mot | P4/mmm | 123 | tetragonal | N | {4,4} | 3 | (2,2) | |

sqc34 | sxa | Cmma | 67 | orthorhombic | N | {6} | 2 | (1,3) | |

sqc35 | nbo, NbO | Im-3m | 229 | cubic | N | {4} | 3 | (1,1) | |

sqc38 | sod-d/bcu-x; 14-conn | Im-3m | 229 | cubic | N | {14} | 1 | (1,2) | |

sqc44 | sev | Fmmm | 69 | orthorhombic | N | {7} | 2 | (1,3) | |

sqc49 | svk | Cmmm | 65 | orthorhombic | N | {7} | 2 | (1,4) | |

sqc59 | ose | Immm | 71 | orthorhombic | N | {7} | 2 | (1,3) | |

sqc61 | fsd | P4/mmm | 123 | tetragonal | N | {4,6} | 3 | (2,3) | |

sqc106 | tsi | I41/amd | 141 | tetragonal | N | {8} | 2 | (1,2) | |

sqc155 | cdl, CdSO_4 ladders | P42/mmc | 131 | tetragonal | N | {4} | 4 | (1,3) | |

sqc169 | flu | Fm-3m | 225 | cubic | N | {4,8} | 3 | (2,1) | |

sqc170 | scu | P4/mmm | 123 | tetragonal | N | {4,8} | 3 | (2,1) | |

sqc176 | lvt | I41/amd | 141 | tetragonal | N | {4} | 4 | (1,1) | |

sqc182 | neb, qsn-055 | Fddd | 70 | orthorhombic | N | {4} | 4 | (1,2) | |

sqc183 | pts, PtS, cooperite | P42/mmc | 131 | tetragonal | N | {4,4} | 4 | (2,1) | |

sqc184 | crb, CrB4, 4/4/t5, zeolite BCT | I4/mmm | 139 | tetragonal | N | {4} | 4 | (1,2) | |

sqc249 | kag | P6/mmm | 191 | hexagonal | N | {6} | 3 | (1,2) | |

sqc325 | tcs | I4/mmm | 139 | tetragonal | N | {4,5} | 4 | (2,2) | |

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