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Shortest paths of Rubik’s snake composite knots up to 8 crossings

International Robotics & Automation Journal
Songming Hou,<sup>1</sup> Jianning Su,<sup>2</sup> Ramon Mufutau<sup>1</sup>

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A Rubik’s Snake is a toy that has been around for 40 years. It can be twisted to many interesting shapes. In particular a Rubik’s snake can be twisted to form a knot. In this paper we study how many blocks are needed to form a composite knot with up to 8 crossings. Also, we improved a couple of previous results for Rubik’s snake prime knots.


Rubik’s snake, composite knot