# A Gordian Pair of Links

## TL;DR

This paper constructs a pair of isotopic link configurations that are not thick isotopic, demonstrating a nuanced distinction in link isotopy types while maintaining total length.

## Contribution

It introduces a novel pair of links that are isotopic but not thick isotopic, highlighting a subtle difference in link classification.

## Key findings

- Existence of isotopic links not thick isotopic
- Preservation of total length in the constructed pair
- Advancement in understanding link isotopy distinctions

## Abstract

We construct a pair of isotopic link configurations that are not thick isotopic while preserving total length.