Chapters

Part I — Curves, tropicalised. Read in order; each chapter's program checks its own claims.

• Chapter 1 — Addition Is Min, Multiplication Is Plus (and a Line Is Not a Line)

  12 min read

  The tropical semiring, the tie definition of a curve, and the tropical line: three rays, a Newton polygon, and balancing.

• Chapter 2 — A Conic Is a Line That Got Caught Twice

  12 min read

  Weights and multiplicity, the doubled line hiding inside a conic, subdivisions from coefficients, and why the smooth conic has genus 0.

• Chapter 3 — The Cubic Has a Donut Inside It

  10 min read

  The tropical cubic: one interior lattice point, one 6-cycle, genus 1 — predicted from the Newton triangle before it is computed.

Parts II–VIII are in preparation — see the home page for the full outline.