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SUMMARY:Anatoliy Turbin (Mykhailo Drahomanov Ukrainian State University)
DTSTART:20241003T123000Z
DTEND:20241003T140000Z
DTSTAMP:20260423T024541Z
UID:fran/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/fran/52/">Co
 nvex polytopes</a>\nby Anatoliy Turbin (Mykhailo Drahomanov Ukrainian Stat
 e University) as part of Семінар з фрактального ана
 лізу / Fractal analysis seminar\n\n\nAbstract\nThe talk demonstrates n
 umerous examples of convex polytopes such that their characteristic $V - E
  + F$\, which establishes the connection between the number of vertices $V
 $\, edges $E$ and faces $F$\, can be any integer number and is not necessa
 rily equal to $2$ as required by Leonhard Euler's theorem on convex polyhe
 dra in $E^3$. One of the methods for obtaining non-Euler convex polytopes 
 is considered\; it is the construction of the convex hull of the Diophanti
 ne equation $x_1^2 + x_2^2 + x_3^2 = m$\, where $x_k\, m \\in \\mathbb{Z}$
 .\n
LOCATION:https://researchseminars.org/talk/fran/52/
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