The parity of permutations and the Futurama theorem
The Mathologer has a go at showing Fry & Co how to sort out their mind-switching mess in the best possible way and gets sidetracked into ying and yang territory--the parity of messes, shuffles, and permutations. Enjoy :)

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Parity of permutations, impossible puzzles and the magical determinant

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Group theory, abstraction, and the 196,883-dimensional monster

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The Math of Being a Greedy Pig - Numberphile

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The Most Controversial Idea In Math

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The Kakeya needle problem (the squeegee approach)

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Can the Same Net Fold into Two Shapes?

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Fermat’s HUGE little theorem, pseudoprimes and Futurama

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The Futurama Theorem

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We're 99.9% sure this pattern is true, but no one can prove it

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The Pigeon Hole Principle: 7 gorgeous proofs

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How did the Enigma Machine work?

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The Infinite Pattern That Never Repeats

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The fix-the-wobbly-table theorem

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Richard P. Feynman: Probability and Uncertainty; The Quantum Mechanical View of Nature

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Ptolemy’s Theorem and the Almagest: we just found the best visual proof in 2000 years

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But what is the Central Limit Theorem?

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The most beautiful formula not enough people understand

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Euler’s Pi Prime Product and Riemann’s Zeta Function

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The Blind Mathematician Who Became the World's Greatest

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