On the stability of four-legged tables
2005/10/17 by A. Martin, Andre Martin · 5 voices
Mathematics · #Advanced Topics in Algebra #Advanced Optimization Algorithms Research #Functional Equations Stability Results
paper · pdf · doi:10.1016/j.physleta.2006.08.053
Abstract
We prove that a perfect four-feet square table, posed in a continuous irregular ground with a local slope of at most 15 degrees can be put in equilibrium on the ground by a "rotation" of less than 90 degrees. We also discuss the case of non-square tables and make the conjecture that equilibrium can be found if the four feet are on a circle
Discussions
- It isn't quite as simple as that -- the ground needs to be well behaved, and the table has to have all legs be the same length. And a quick look at the paper reveals that it isn't that simple either! [bsky, 18 points, 0 comments]
- On the stability of four legged tables (2006) [hn, 3 points, 0 comments]
- On The Stability of Four-Legged Tables (2006) [hn, 2 points, 1 comments]
- Detalles, acá: arxiv.org/pdf/math-ph/... [bsky, 0 points, 0 comments]
- oh! someone recently did math and proved that any square table with four even-length legs will become stable if you rotate it enough 😁 arxiv.org/abs/math-ph/... [bsky, 0 points, 0 comments]
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