The concepts of tile number and space-efficiency for knot mosaics were first explored by Heap and Knowles (arXiv:1702.06462), where they determined the possible tile numbers and space-efficient layouts for every prime knot with mosaic number 6 or less. In this paper, we extend those results to prime knots with mosaic number 7.
Cite
@article{arxiv.1912.13093,
title = {Space-Efficient Prime Knot 7-Mosaics},
author = {Aaron Heap and Natalie LaCourt},
journal= {arXiv preprint arXiv:1912.13093},
year = {2020}
}