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Welcome to the EPINET project

Euclidean Patterns in Non-Euclidean Tilings. Welcome to the EPINET project. The EPINET project explores 2D hyperbolic ( H². 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 principal is one of hyperbolic surface tiling. That give an overview of the following topics:. Bibliography and recommended reading.

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Welcome to the EPINET project | epinet.anu.edu.au Reviews
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Euclidean Patterns in Non-Euclidean Tilings. Welcome to the EPINET project. The EPINET project explores 2D hyperbolic ( H². 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 principal is one of hyperbolic surface tiling. That give an overview of the following topics:. Bibliography and recommended reading.
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Welcome to the EPINET project | epinet.anu.edu.au Reviews

https://epinet.anu.edu.au

Euclidean Patterns in Non-Euclidean Tilings. Welcome to the EPINET project. The EPINET project explores 2D hyperbolic ( H². 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 principal is one of hyperbolic surface tiling. That give an overview of the following topics:. Bibliography and recommended reading.

INTERNAL PAGES

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1

EPINET Project Acknowledgements

http://epinet.anu.edu.au/about/acknowledgements

Euclidean Patterns in Non-Euclidean Tilings. This website is a collaborative effort of the EPINET project team. However a project of this kind always builds on the work and expertise of our colleagues, collaborators and fellow researchers. In no particular order we would like to thank:. Stuart Hungerford for design and support of the original Epinet site. For many years of collaboration and encouragement. For some beautiful images of minimal surfaces, and the surface patches to generate them. Grant to St...

2

Mathematics of The EPINET Project

http://epinet.anu.edu.au/mathematics/surface_reticulation

Euclidean Patterns in Non-Euclidean Tilings. The Topology and Geometry of Surface Reticulations in E³. We call the projection of a 2D hyperbolic net onto a TPMS a. The vertices and edges of the reticulation define a geometric embedding of a 3–periodic network. The underlying topology of the 3D network is defined by forming its quotient graph. Take a translational unit cell of the reticulation and join edges that are translational copies of one another). Maps to a distinct surface reticulation. Represent ...

3

About The EPINET Project

http://epinet.anu.edu.au/about

Euclidean Patterns in Non-Euclidean Tilings. About The EPINET Project. Version 2.0 published November 2009. The EPINET project contributes to the enumeration of periodic networks. In three–dimensional euclidean space ( E³. Via two-dimensional hyperbolic tilings. These networks are of interest to geometers, structural chemists, and statistical physicists. The EPINET website consists of databases of tilings and nets with an integrated search function, and substantial reference material. Many people have co...

4

EPINET Reference material

http://epinet.anu.edu.au/reference

Euclidean Patterns in Non-Euclidean Tilings. The EPINET project contributes to the enumeration of periodic networks. In three–dimensional euclidean space ( E³. These networks are of interest to geometers, structural chemists, and statistical physicists. Instead of working directly in three dimensions, we use the intrinsic hyperbolic geometry of triply periodic minimal surfaces. To map two–dimensional hyperbolic ( H². Patterns into three–dimensional euclidean space ( E³. And 3D euclidean ( E³. Of the hype...

5

EPINET Project Glossary

http://epinet.anu.edu.au/glossary

Euclidean Patterns in Non-Euclidean Tilings. Throughout the EPINET site pages we've made use of various mathematical terms from geometry and topology. Here's a brief glossary of the most important terms organized by four subject areas. Terms relating to periodic minimal surfaces. Is a surface with locally extremal (usually minimal) surface area. A minimal surface's mean curvature. Is zero at all points on the surface. For more details go to the minimal surfaces page. Triply Periodic Minimal Surface.

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topospro.com topospro.com

TTD Collection

http://topospro.com/collections/TTD.php

The program package for multipurpose geometrical and topological analysis of crystal structures. TTD (TOPOS Topological Database) collection is a set of .ttd files in a special binary format containing the information on topological types of simple nets. The TTD collection is used for automatic determining crystal structure topology with the ADS program. See the Topological classification of nets with ToposPro manual for more details. Data on finite clusters and polynuclear complexes. Their personal code...

crystalsymmetry.wordpress.com crystalsymmetry.wordpress.com

Software / Webpages | The Fascination of Crystals and Symmetry

https://crystalsymmetry.wordpress.com/software-webpages

The Fascination of Crystals and Symmetry. Crystals are fascinating objects. 230 – Space group list project. Basic and derived nets. Morphology / Crystal Classes. Programs that are able to create/display form data of outer shapes of crystals:. Win, Linux, Mac) – Freeware. Java) – Commercial, 50 $. Win) – Commercial, 50 $. Win) – Freeware, Donation welcome. Win) – Demo available. Win Linux, Mac) – Commercial, 280 $. 32 interactive 3D PDFs. For the 32 crystal classes, free to download (display only).

sacada.sctms.ru sacada.sctms.ru

SACADA

http://www.sacada.sctms.ru/Useful_Links.php

Here is some links to useful resources:. ToposPro software and Services. Reticular Chemistry Structure Resource (RCSR). The Cambridge Crystallographic Data Centre (CCDC). International Union of Crystallography (IUCr). Euclidean Patterns in Non-Euclidean Tilings. For the nets called sqcXXX). Systre and 3dt programs.

physics.anu.edu.au physics.anu.edu.au

Department of Applied Mathematics - Applied Maths - ANU

https://physics.anu.edu.au/appmaths

Department of Applied Mathematics. Research School of Physics and Engineering. ANU College of Physical and Mathematical Sciences. Arts and Social Sciences. Asia and the Pacific. Medicine, Biology &. Raquo; more academic areas. Department of Applied Mathematics. Research School of Physics and Engineering. ANU College of Physical and Mathematical Sciences. Research School of Physics and Engineering. Raquo; More about our research. PEC Planning Day 2016. Raquo; more events. Updated: 15 June 2016.

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epinet.anu.edu.au epinet.anu.edu.au

Welcome to the EPINET project

Euclidean Patterns in Non-Euclidean Tilings. Welcome to the EPINET project. The EPINET project explores 2D hyperbolic ( H². 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 principal is one of hyperbolic surface tiling. That give an overview of the following topics:. Bibliography and recommended reading.

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Home :: Epinet

Log-in for "Is it epilepsy? Evidence Based Epilepsy News. The EpiNet Study Group. All data transmitted is encrypted, and access to the database is password-protected. Participation needs approval of the relevant institutional review boards and ethics committees. We have established rules by which we have agreed to collaborate and a steering group who will oversee the development of the project. The current steering group comprises:. Peter Bergin, Chairman (New Zealand). Mark Richardson (Great Britain).

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