2 problems

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Nonconic perimeter-centroid conjecture for polar polygons of bicentric images
Let $\cal{B}'$ be the conic-inscribed polar image of a generic bicentric family of $N$ -gons, and let $\cal{P}'$ be the conic to which $\cal{B}'$ is inscribed. Nonconic perimeter-ce…
Conjectureopenbicentric-polygons conics polaritiesarXiv posted 2 days ago
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Perimeter-centroid conic conjecture for polar images of bicentric families
Let $\cal{B}'$ be the conic-inscribed polar image of a generic bicentric family of $N$ -gons with respect to its bicentric circumcircle. Perimeter-centroid conic conjecture. Over…
Conjectureopenbicentric-polygons centroids conicsarXiv posted 2 days ago

Nonconic perimeter-centroid conjecture for polar polygons of bicentric images