Making Music with a Möbius Strip : "It turns out that musical chords naturally inhabit various topological spaces, which show all the possible paths that a composer can use to move between chords. Surprisingly, the space of two-note chords is a Möbius strip."
posted by dhruva
on Aug 15, 2013 -
16 comments

Alice's adventures in algebra: Wonderland solved "Outgunned in the specialist press, Dodgson took his mathematics to his fiction. Using a technique familiar from Euclid's proofs, reductio ad absurdum, he picked apart the "semi-logic" of the new abstract mathematics, mocking its weakness by taking these premises to their logical conclusions, with mad results. The outcome is Alice's Adventures in Wonderland."
posted by dhruva
on Dec 16, 2009 -
30 comments