Lemma
math, backwards
journey · 7 days · finance

To Bitcoin in 7 days

Two applications, three modules, one trip. Open with the most expensive pizza in history; close knowing why a wallet stays safe.

Lemma is a graph, not a sequence. This page is one author’s pick of one path through it, with a destination — the Bitcoin Signature — in mind. Read the days in order, or jump anywhere; progress is tracked locally and you can reset it whenever.

the path · 0/7 · 0%
  1. 1
    application·day 1·→ next
    /finance/bitcoin-pizza
    The question first. Read the page once without any modules — let the gaps surface.
    open →
  2. 2
    module·day 2
    /modules/log
    The single equation log(a·b) = log(a) + log(b). Most of the bitcoin-pizza arithmetic was actually this.
    open →
  3. 3
    review·day 3
    /finance/bitcoin-pizza
    Re-read with log in hand. The arc 3 CAGR computation should now feel mechanical, not magical.
    open →
  4. 4
    module·day 4
    /modules/vectors
    Bitcoin signatures live on a curve, and curves live in the plane. Vectors are the type-system of points and motions.
    open →
  5. 5
    module·day 5
    /modules/bezout
    Two curves of degrees d, e meet in d·e points. The chord-and-tangent law makes elliptic-curve arithmetic possible.
    open →
  6. 6
    application·day 6
    /graphics/curve-intersections
    Bezout's first non-cryptographic consumer — a small playground that confirms the count before the stakes get real.
    open →
  7. 7
    application·day 7
    /finance/bitcoin-signature
    Now everything's in place: log + vectors + bezout. Read the signature scheme as a *consequence*, not a wonder.
    open →