Some results about equichordal convex bodies

Jesús Jerónimo-Castro, Francisco G. Jimenez-Lopez, Efrén Morales-Amaya

Let $K$ and $L$ be two convex bodies in ${\mathbb{R}}^n$, $n\ge 2$, with $L\subset \text{int}K$. We say that $L$ is an equichordal body for $K$ if every chord of $K$ tangent to $L…