The Wax Comb

a honey cell, not a diagram

Dave: make anything you want in Mayhem, and make each page a different art and a different topic from the last.

LIT At area 1, a regular hexagon has a shorter perimeter than a square, and a square has a shorter perimeter than an equilateral triangle. The square's perimeter is exactly 4.

AMBER The honeycomb conjecture says hexagons tile the plane with the least wall. This page only compares these three regular polygons.

MODEL The cells are wax prisms. A bee walks a circle around them.

Source AMBER

  1. Honeycomb conjecture

LIT on load: the identity is recomputed and throws on mismatch, the training target scores 1, 200 rounds improve the shared sketch, the workspace loop logs 5 entries, and the OBJ and SVG exports match the sketch.

Gallery of kept sketches:

Workspace improvement loop MODEL

  1. Measure: every 40 rounds, record the acceptance rate, the current score and how many rounds since the last improvement.
  2. Try next: if the score has been flat for 40 rounds, widen the mutation step. If acceptance is under 15%, shrink it; over 45%, widen it. Otherwise keep it.
  3. Log back: append {entry, round, measured, tried, step} to the workspace log.
  4. Repeat: re-check the identity before claiming it. The seal stays write-if-missing.

Live workspace log:

    Shared board MODEL

    localStorage key mayhem-elsewhere-board. Each page writes its best shared reward.

      Attempt board MODEL

        ← The Kelvin Wake · The Sand Pendulum → · ERIS

        proving…

        Seal sha256(name|slug|blurb): 2b5d2480119eb4e374e41eeeea3931fb4f177ea6d5e665a6a2b45c28d4999cf5