2 ms·
> Thus, the harmonic donkey transfer, using four donkeys, yields a maximum transport distance 1/12 * L0 longer than the pairwise donkey transfer. Upvote earned
by h2odragon 4y ago
> Thus, the harmonic donkey transfer, using four donkeys, yields a maximum transport distance 1/12 * L0 longer than the pairwise donkey transfer.
Upvote earned there.
- moron4hire 4y agoWithout digging into any math myself, I find it curious that it's 1/12th longer. That specific ratio, 1/12th, is also the basis for the Equal Temperament system for tuning Western musical instruments ("12-tone Equal Temperament, specifically), which also represents a harmonic series. https://en.wikipedia.org/wiki/Equal_temperament https://en.wikipedia.org/wiki/Equal_temperament
- oakwhiz 4y ago1+2+3+...=-1/12 by certain definitions...
- sparkplug94 4y agoHaha thank you! I'm the original author of the linked article, and I had a LOT of fun naming the donkey transfer algorithms I came up with.