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The Isostatic Conjecture Connelly, Robert
Description
We show that a jammed packing of disks with generic radii, in a generic container, is such that the minimal number of contacts occurs, and for the graph of the packing, there is only one equilibrium stress up to scaling. We also point out some connections to packings with different radii and results in the theory of circle packings whose graph forms a triangulation of a given topological surface. Joint work with Evan Solomonides and Maria Yampolskaya.
Item Metadata
Title |
The Isostatic Conjecture
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-05-22T09:06
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Description |
We show that a jammed packing of disks with generic radii, in a generic
container, is such that the minimal number of contacts occurs, and for the
graph of the packing, there is only one equilibrium stress up to scaling. We
also point out some connections to packings with different radii and results
in the theory of circle packings whose graph forms a triangulation of a given
topological surface. Joint work with Evan Solomonides and Maria Yampolskaya.
|
Extent |
34 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Cornell University
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Series | |
Date Available |
2017-11-18
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0357994
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International