In 2020 I started writing a series of papers on geometric foundations of geometric patterns. Three of these papers (Part 1, Part 2, and Part 4) were published in the Electronic Journal of Mathematics (eJMT) and Technology, Part 3 was published in the proceedings of the Asian Technology Conference in Mathematics 2020 (ATCM 2020). All papers can be found in the ‘Documents‘ section.
Understanding geometric pattern and its geometry
Symmetrica - A Geometry and Art Blog 