Networking Global Science through Research Resources - EPINET Project
The EPINET project is a collaborative effort by the EPINET project team: Stephen Hyde, Vanessa Robins, and Stuart Ramsden.
The EPINET project explores 2D hyperbolic (H²) tilings as a source of crystalline frameworks (or networks) in 3D Euclidean (E³) space. Our aim is to enumerate networks with a broad spectrum of properties that are of possible interest to geometers, structural chemists, and statistical physicists. The guiding principle is one of hyperbolic surface tiling, where the 3D crystallinity of an underlying surface induces 3–periodic networks. The extraordinary wealth of hyperbolic tilings allows us to enumerate networks and their spatial realizations (“embeddings”) with greater breadth than conventional approaches.
The EPINET website consists of databases of tilings and nets with an integrated search function and substantial reference material.
Databases housed on the EPINET website:
- Hyperbolic Subgroup Tilings
- Hyperbolic Nets
- Systre Nets
- Reference Pages that give an overview of the following topics:
This resource is freely available for use by the general public.
To read more about the EPINET project please refer to the following articles:
S. J. Ramsden, V. Robins, and S. T. Hyde, Three-dimensional Euclidean nets from two-dimensional hyperbolic tilings: kaleidoscopic examples. Acta Cryst. A, 2009, 65, 81-108.
To reference the website please use:
S. J. Ramsden, V. Robins, S. T. Hyde and S. Hungerford, EPINET: Euclidean Patterns in Non-Euclidean Tilings. The Australian National University, 2005-2009. http://epinet.anu.edu.au/