Universal Knot Diagrams

Chaim Even-Zohar; Joel Hass; Nati Linial; Tahl Nowik

doi:10.1142/s0218216519500317

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arXiv · 1804.09860

Universal Knot Diagrams

Chaim Even-Zohar·Joel Hass·Nati Linial·Tahl Nowik

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Abstract

We study collections of planar curves that yield diagrams for all knots. In particular, we show that a very special class called potholder curves carries all knots. This has implications for realizing all knots and links as special types of meanders and braids. We also introduce and apply a method to compare the efficiency of various classes of curves that represent all knots.

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BibTeX RIS

Chaim Even-Zohar, Joel Hass, Nati Linial, Tahl Nowik. 2018-04-26. Universal Knot Diagrams. https://doi.org/10.1142/s0218216519500317

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