About this project
Aux-Mat is an ongoing research project on the mechanical and dynamical properties of textile metamaterials: periodic mesh structures whose topologies are derived from textile-construction patterns. The atlas presents each topology screened through three independent physics models: static elasticity (spring + beam), phonon dispersion, and humidity-driven swelling. A two-dimensional classification of mechanical response distinguishes load-driven auxeticity from swelling-driven contraction.
The current release (v0.1.0) characterizes 321 grounds from the TesseLace catalog (Irvine 2016, CC-BY 4.0), an enumeration of lattices satisfying a bobbin-lace fabricability constraint. Subsequent releases will incorporate additional topology classes derived from other textile-construction principles and from broader enumeration of fabricable mesh structures.
Browse the catalog
All 321 grounds are available in the catalog above. Each ground's modal includes pair-diagram and thread-sketch swatches, parameter sweeps for the spring and beam models, the phonon dispersion, and the humidity-response table. The scatter plot above the catalog shows the (νmin, ηpore) relationship across all grounds.
Use the data
The full atlas is available as JSON or as a flat CSV. See Data access below for examples.
Comments and corrections are welcome. See the footer for contact.
Cite this work
If you cite this work, please cite the preprint below along with any other applicable entry-level citations.
@article{taylor2026auxetic,
author = {Taylor, Richard H.},
title = {Periodic Graph Metamaterials Atlas: a topology screen for periodic 2D
stick lattices derived from bobbin lace},
journal = {arXiv preprint arXiv:{TBD}},
year = {2026},
url = {https://arxiv.org/abs/{TBD}}
}