Dynamically defined wild knots and Othoniel's My Way

The piece Lacan's Knot, from French artist Othoniel's exposition My Way (2011) at Centre Pompidou, is a glass sculpture of a beaded knotted necklace. Due to the reflective medium, one can see the reflection of the necklace in itself in the surface of each bead, and these images reiterate i...

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Bibliographic Details
Published in:Journal of mathematics and the arts 2019-10, Vol.13 (3), p.230-242
Main Authors: Díaz, Juan Pablo, Hinojosa, Gabriela, Mendoza, Martha, Verjovsky, Alberto
Format: Article
Language:English
Subjects:
21st century
Dynamical system
Fractals
Glass
glass beaded Othoniel's knots
inversions
Knots
Mathematics
Othoniel's Lacan's knot
Othoniel, Jean-Michel
Primary: 57M30
reflections
Sculpture
Secondary: 57M25
self-similar fractals
wild knots
Citations: Items that this one cites
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Summary:The piece Lacan's Knot, from French artist Othoniel's exposition My Way (2011) at Centre Pompidou, is a glass sculpture of a beaded knotted necklace. Due to the reflective medium, one can see the reflection of the necklace in itself in the surface of each bead, and these images reiterate indefinitely. This process creates a stunning effect which, mathematically speaking, is the projection of a 'wild knot' from the interior of the sculpture to its surface. The purpose of this paper is to explain some beautiful mathematical concepts about these kinds of knots and how they relate to Othoniel's piece.
ISSN:1751-3472
1751-3480
DOI:10.1080/17513472.2018.1506615