Rémi Coulon

CNRS / Université de Rennes 1
Rennes, France

Rémi Coulon is a researcher in mathematics at the CNRS in France. His research interests include geometry, topology and dynamics.

Antoine's necklace
Antoine's necklace
60 x 60 x 1 cm

The Cantor set is maybe the simplest fractal object: it is the unique non-empty metrizable, compact, totally disconnected set, without isolated point. For a long time topologists where intrigued by the embeddings of a Cantor set in the 3-dimensional Euclidean space. In particular, does there exist such an embedding whose complement is not simply connected? The question was answered positively by Louis Antoine at the beginning of the 20th century. This embedding is known as Antoine's necklace. It is a necklace, whose links are themselves a necklace, whose links... This handcrafted piece is the outcome of a challenge from my colleagues, it is made out of 10,000 brass links and represents the first four levels of Antoine's necklace.