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Bodies in space

Title
Bodies in space
Funding
ARC | Linkage Projects
Contract (GA) number
LP100200245
Start Date
2010/01/01
End Date
2013/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/LP100200245

 

  • The Equilateral Pentagon at Zero Angular Momentum: Maximal Rotation Through Optimal Deformation

    A pentagon in the plane with fixed side-lengths has a two-dimensional shape space. Considering the pentagon as a mechanical system with point masses at the corners we answer the question of how much the pentagon can rotate with zero angular momentum. We show that the shape space of the equilateral pentagon has genus 4 and find a fundamental region by discrete symmetry reduction with respect to symmetry group D_5. The amount of rotation \Delta \theta for a loop in shape space at zero angular m...
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