Geodesic
Reflections on bending a rectangle. Special rectangle theorem
Matematičeskoe obrazovanie, Tome 110 (2024) no. 2, pp. 11-18.

Voir la notice de l'article provenant de la source Math-Net.Ru

Consider a rectangle with sides a, b, and arectangle is bent along a straight line passing through its center. We are interested in the question: at what angle should the bend be made so that the intersection area is the smallest? 
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     author = {M. E. Gaichenkov},
     title = {Reflections on bending a rectangle. {Special} rectangle theorem},
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M. E. Gaichenkov. Reflections on bending a rectangle. Special rectangle theorem. Matematičeskoe obrazovanie, Tome 110 (2024) no. 2, pp. 11-18. http://geodesic.mathdoc.fr/item/MO_2024_110_2_a1/