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UID:news1584@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20240223T103733
DTSTART;TZID=Europe/Zurich:20240314T161500
SUMMARY:Perlen-Colloquium: Prof. Jean-Pierre Eckmann (University of Geneva)
DESCRIPTION:A cylinder will roll down an inclined plane in a straight line.
  A cone will wiggle along a circle on that plane and then will stop rollin
 g. We ask the inverse question: For which curves drawn on the inclined pla
 ne $\\real^2$ can one chisel a shape that will roll downhill following pre
 cisely this prescribed curve and its translationally repeated copies?  Thi
 s is a nice\, and easy to understand problem\, but the solution is quite i
 nteresting.  (Based on work mostly with Y. Sobolev and T. Tlusty. After a 
 Nature paper\, Solid-body trajectoids shaped to roll along desired pathway
 s\, August 2023.)
X-ALT-DESC:<p>A cylinder will roll down an inclined plane in a straight lin
 e. A cone will<br /> wiggle along a circle on that plane and then will sto
 p rolling.<br /> We ask the inverse question: For which curves drawn on th
 e inclined plane<br /> $\\real^2$ can one chisel a shape that will roll do
 wnhill following precisely<br /> this prescribed curve and its translation
 ally repeated copies?<br /> <br /> This is a nice\, and easy to understand
  problem\, but the solution is quite<br /> interesting.<br /> <br /> (Base
 d on work mostly with Y. Sobolev and T. Tlusty. After a Nature paper\,<br 
 /> Solid-body trajectoids shaped to roll along desired pathways\, August 2
 023.)</p>
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