3 ms·
This form of problem reminds me a little of the Sofa Problem (although there you are maximising rather than minimising).
by caf 8y ago
This form of problem reminds me a little of the Sofa Problem (although there you are maximising rather than minimising).
- olooney 8y agoYes, and it has the same kind of "decades of slow incremental improvements by shaving corners off" kind of vibe. https://en.m.wikipedia.org/wiki/Moving_sofa_problem https://en.m.wikipedia.org/wiki/Moving_sofa_problem
- Phemist 8y agoIf you check the wikipedia page, it seems that Philib Gibbs has contributed to this problem as well: '''A computation by Philip Gibbs produced a shape indistinguishable from that of Gerver's sofa giving a value for the area equal to eight significant figures.[6] This is evidence that Gerver's sofa is indeed the best possible but it remains unproven. '''
- caf 8y agoI wonder if anyone sells an actual (Conjectured) Optimal Sofa.