Speaker
Iván Rasskin
(Aix-Marseille Université)
Description
Rational tangles were introduced by Conway as a family of tangles that are in bijection to rational numbers. This correspondence can be described algebraically by relating the construction of rational tangles to the operations appearing in continued fraction expansions. In this talk, we will explore different ways to visualize this connection through some generalizations of integral Apollonian sphere packings. These perspectives provide useful tools for deriving upper bounds on geometric invariants of rational knots and links.