Laurent Lessard
@laurentlessard.bsky.social
Associate Professor of MIE @Northeastern. Interested in control theory, optimization, math, and puzzles. The glass is twice as large as it needs to be.
Print your pdf to pdf and then try again! Seriously!
December 13, 2024 at 8:24 PM
Print your pdf to pdf and then try again! Seriously!
More fun: if you assume the energy function is 1/r^k, then the regular lattice is optimal for k > 1.067 and the irregular arrangement is optimal for k < 1.066. 🤷♂️
December 9, 2024 at 1:03 AM
More fun: if you assume the energy function is 1/r^k, then the regular lattice is optimal for k > 1.067 and the irregular arrangement is optimal for k < 1.066. 🤷♂️
Interestingly, if energy is instead measured as 1/dist², then the regular lattice becomes the optimal arrangement!
December 9, 2024 at 12:37 AM
Interestingly, if energy is instead measured as 1/dist², then the regular lattice becomes the optimal arrangement!