Welcome to the EPINET project

The EPINET project explores 2D hyperbolic () tilings as a source of crystalline frameworks (or networks) in 3D euclidean () 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 principal 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 realisations (“embeddings”) with greater breadth than conventional approaches.

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