Ladder

Dose — the ladder

3 distinct arguments against one idea, from the one that introduces it to the one that assumes the rest.
  1. 0%25%50%75%100%2/8one13% of the front18/32two25% of the front51/72three38% of the front112/135four50% of the front63/64five63% of the frontarrangements that never repairrise 0.013 · 5/8 · front 8 organsorgans removed

    Three organs and no mirror

    A coarse stem cut of two organs can end up as its own mirror image — the same lattice wound the other way, counts unchanged, handedness reversed. Finer stems never do it, and two accounts of why were on the table: coarseness, or the share of the neighbourhood removed. A three-organ cut at the finer arrangements settles it, and the answer is the first.

    rung 1 · emergence
  2. 0510152030405060share of the front removed (%)nearest approach to the mirror (°)1 of 85/82 of 85/83 of 85/84 of 85/85 of 85/83 of 138/132 of 53/5reaches it exactlymirror judged to 0.05° · nothing else within 6°generated from a stated rule, not drawn to look right

    The share was not the thing

    Two organs out of a front of five reverses a stem's handedness; three out of eight does not, and neither does five out of eight, which is a larger share of a larger neighbourhood. The hypothesis under test was that the dose decides the destination. It decides whether a stem falls off its lattice and nothing about where it lands.

    rung 2 · emergence
  3. cut from136.99°lag 5 kept · 0 turnscounted 5/11175.01°no lag keptcounted 2/6189.96°no lag keptcounted 4/6208.80°lag 5 kept · 1 turncounted 5/12235.00°no lag keptcounted 3/6280.43°lag 5 kept · 2 turnscounted 5/9140°180°220°260°settled divergence after the cutrise 0.013 · 6 destinations over cuts of one to five organs3 are slips of the lattice cut from

    A wreck has a short list

    Cuts of one organ through five, over two hundred and forty-six stems that never came back, land on six settled divergences between them. Removing five organs instead of one wrecks nearly everything and reaches nowhere the single cut had not already found — and half the list turns out to be the old lattice slipped by a turn, while the other half is not the old lattice at all.

    rung 3 · emergence

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