Geodesic
Noncircular algebraic curves of constant width: an answer to Rabinowitz
Canadian mathematical bulletin, Tome 65 (2022) no. 3, pp. 552-556

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DOI

In response to an open problem raised by S. Rabinowitz, we prove that $$ \begin{align*} \begin{array} [c]{l} \left( \left( x^{2}+y^{2}\right) {}^{2}+8y\left( y^{2}-3x^{2}\right) \right) {}^{2}+432y\left( y^{2}-3x^{2}\right) \left( 351-10\left( x^{2}+y^{2}\right) \right) \\ =567^{3}+28\left( x^{2}+y^{2}\right) {}^{3}+486\left( x^{2}+y^{2}\right) \left( 67\left( x^{2}+y^{2}\right) -567\times18\right) \end{array} \end{align*} $$is the equation of a plane convex curve of constant width.
DOI : 10.4153/S0008439521000473
Mots-clés : Planar algebraic curves, hedgehogs, bodies with constant width 
Martinez-Maure, Yves. Noncircular algebraic curves of constant width: an answer to Rabinowitz. Canadian mathematical bulletin, Tome 65 (2022) no. 3, pp. 552-556. doi: 10.4153/S0008439521000473
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     title = {Noncircular algebraic curves of constant width: an answer to {Rabinowitz}},
     journal = {Canadian mathematical bulletin},
     pages = {552--556},
     year = {2022},
     volume = {65},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000473/}
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