Space-Efficient Prime Knot 7-Mosaics

Abstract

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.

References in corpus (3)

• Knot mosaic tabulation
• Tile Number and Space-Efficient Knot Mosaics
• Space-Efficient Knot Mosaics for Prime Knots with Mosaic Number 6

Cited by in corpus (1)

• Tabulating Knot Mosaics: Crossing Number 10 or Less