On triangular paperfolding patterns

Authors

Alexey Garber, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

10-2020

Abstract

We introduce patterns on a triangular grid generated by paperfolding operations. We show that in case these patterns are defined using a periodic sequence of foldings, they can also be generated using substitution rules and compute eigenvalues and eigenvectors of the corresponding matrices. We also prove that densities of all basic triangles are equal in these patterns.

Comments

Original published version available at https://doi.org/10.1016/j.ejc.2020.103167

Recommended Citation

Garber, Alexey. "On triangular paperfolding patterns." European Journal of Combinatorics 89 (2020): 103167. https://doi.org/10.1016/j.ejc.2020.103167

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Publication Title

European Journal of Combinatorics

DOI

10.1016/j.ejc.2020.103167