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SUMMARY:Eliana Duarte (Otto-von-Guericke Universität Magdeburg)
DTSTART:20200423T140000Z
DTEND:20200423T150000Z
DTSTAMP:20260423T021117Z
UID:VSAMRT/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSAMRT/2/">R
 igidity of 2D and 3D quasicrystal frameworks</a>\nby Eliana Duarte (Otto-v
 on-Guericke Universität Magdeburg) as part of Virtual seminar on algebrai
 c matroids and rigidity theory\n\n\nAbstract\nDeciding wether a generic 2D
  rod-and-pinion framework is rigid can be done by checking that its underl
 ying graph satisfies the Laman conditions. For frameworks with a special c
 onfiguration such as grids of squares\, there is a simpler way to associat
 e a graph to the framework and decide if it is rigid or not. In this talk 
 I will consider frameworks that come from Penrose tilings and show that we
  can decide the rigidity of these frameworks as we do for grids of squares
 . There is no generalization of Laman conditions for rigidity of 3D graphs
  but perhaps we can prove (conjecture) a generalization of 2D results for 
 cubical frameworks or 3D quasicrystals. Pictures and real time interactive
  animations will be present throughout this talk to illustrate important c
 oncepts. This talk is based on joint work with George Francis and students
  from the Illinois Geometry Lab.\n
LOCATION:https://researchseminars.org/talk/VSAMRT/2/
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