An accessible introduction to the Pentagon Physics programme designed for readers encountering self-referential physics for the first time. The 'machine' is the axiom σ = 1/(1+σ) — a mathematical object that generates its own structure without external input. The paper walks through the bootstrap: the axiom generates its own solution (φ), which generates its own field (ℚ(√5)), which generates its own geometry (600-cell), which generates its own constants (α, G, Λ). Each step produces the tools needed for the next step. The universe builds itself from a single act of self-reference.