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mathematics, in pictures
Ladder

Partitions — the ladder

One essay so far against this idea. A ladder is the distinct arguments that stand against one idea, and this one has room to grow.
  1. 5 + 4 + 2 + 14 + 3 + 2 + 2 + 1read downboth are partitions of 12: the same dots, counted along the rows and then down the columnsand turning the diagram over a second time gives back what it started as

    A diagram turned on its side

    Write a partition as rows of dots, then read the columns instead. Every theorem in this essay is that one move, and the move proves things that no formula suggests.

    rung 1 · number

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