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math.MG2024
Centroids and equilibrium points of convex bodies
Zsolt Lángi, Péter L. Várkonyi
The aim of this note is to survey the results in some geometric problems related to the centroids and the static equilibrium points of convex bodies. In particular, we collect resu…
math.DG2024
All paths admit trajectoids
Péter L. Várkonyi
In a recent paper published in Nature, Y.I. Sobolev et al. introduced the concept of trajectoids: convex, rigid objects, which roll without slip or spin on a flat plane along a pre…