All Stories

  1. Towards a taxonomy of nets: supersymmetric 2- and 3-periodic structures in three-dimensional Euclidean space

    Article • Acta Crystallographica Section A Foundations and Advances, October 2025, International Union of Crystallography

    Michael Treacy

  2. 3-Periodic weavings: piecewise linear embeddings of symmetric structures

    Article • Acta Crystallographica Section A Foundations and Advances, July 2025, International Union of Crystallography

    Michael Treacy

  3. Isogonal 1-periodic polycatenanes (chains). Transitivity and intransitivity of links

    Article • Acta Crystallographica Section A Foundations and Advances, February 2025, International Union of Crystallography

    Michael Treacy

  4. Symmetric 3-periodic polycatenanes: catenated rings, polyhedra and rods

    Article • Acta Crystallographica Section A Foundations and Advances, January 2025, International Union of Crystallography

    Michael Treacy

  5. Periodic graphs with coincident edges: folding-ladder and related graphs

    Article • Acta Crystallographica Section A Foundations and Advances, January 2025, International Union of Crystallography

    Michael Treacy

  6. Periodic diffraction from an aperiodic monohedral tiling – the Spectre tiling. Addendum

    Article • Acta Crystallographica Section A Foundations and Advances, October 2024, International Union of Crystallography

    Michael Treacy

  7. Periodic Borromean rings, rods and chains

    Article • Acta Crystallographica Section A Foundations and Advances, January 2024, International Union of Crystallography

    Michael Treacy

  8. Isogonal 2-periodic polycatenanes: chain mail

    Article • Acta Crystallographica Section A Foundations and Advances, January 2024, International Union of Crystallography

    Michael Treacy

  9. Diffraction from Aperiodic Einstein Tiling

    Article • Acta Crystallographica Section A Foundations and Advances, January 2024, International Union of Crystallography

    Michael Treacy, IUCr Journals

  10. Isogonal embeddings of interwoven and self-entangled honeycomb (hcb) nets and related interpenetrating primitive cubic (pcu) nets

    Article • Acta Crystallographica Section A Foundations and Advances, October 2023, International Union of Crystallography

    Michael Treacy

  11. Borromean rings redux. A missing link found – a Borromean triplet of Borromean triplets

    Article • Acta Crystallographica Section A Foundations and Advances, February 2023, International Union of Crystallography

    Michael Treacy

  12. Three-periodic nets, tilings and surfaces. A short review and new results

    Article • Acta Crystallographica Section A Foundations and Advances, February 2023, International Union of Crystallography

    Professor Davide M Proserpio, Michael Treacy

  13. Piecewise-linear embeddings of decussate extended θ graphs and tetrahedra

    Article • Acta Crystallographica Section A Foundations and Advances, October 2022, International Union of Crystallography

    Michael Treacy

  14. Isogonal piecewise-linear embeddings of 1-periodic knots and links, and related 2-periodic chain-link and knitting patterns

    Article • Acta Crystallographica Section A Foundations and Advances, April 2022, International Union of Crystallography

    Michael Treacy

  15. Tangled piecewise-linear embeddings of trivalent graphs

    Article • Acta Crystallographica Section A Foundations and Advances, February 2022, International Union of Crystallography

    Michael Treacy

  16. On Borromean links and related structures

    Article • Acta Crystallographica Section A Foundations and Advances, July 2021, International Union of Crystallography

    Michael Treacy

  17. Piecewise-linear embeddings of knots and links with rotoinversion symmetry

    Article • Acta Crystallographica Section A Foundations and Advances, July 2021, International Union of Crystallography

    Michael Treacy

  18. Isogonal piecewise linear embeddings of 1-periodic weaves and some related structures

    Article • Acta Crystallographica Section A Foundations and Advances, February 2021, International Union of Crystallography

    Michael Treacy

  19. Isogonal non-crystallographic periodic graphs based on knotted sodalite cages

    Article • Acta Crystallographica Section A Foundations and Advances, October 2020, International Union of Crystallography

    Michael Treacy

  20. Isogonal weavings on the sphere: knots, links, polycatenanes

    Article • Acta Crystallographica Section A Foundations and Advances, August 2020, International Union of Crystallography

    Michael Treacy

  21. Weavings of threads, loops and nets built from straight connectors.

    Article • Acta Crystallographica Section A Foundations and Advances, February 2020, International Union of Crystallography

    Michael Treacy

  22. Flexibility mechanisms in ideal zeolite frameworks

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, December 2013, Royal Society Publishing

    Michael Treacy