Six of the universe's deepest mysteries run live as geometry: three-body chaos, curved spacetime & black-hole lensing, the centreless expansion, the golden angle, emergent life and fractal infinity.
Finding: simple laws, wild outcomes. The two universes stay twins, then diverge exponentially — determinism survives, predictability doesn't. Gold = universe A, faint white = universe B (one coordinate off by 10⁻⁶).
Finding: gravity is a shape, not a force. In curved spacetime the ellipse slews into a rosette (gold) while Newton's ghost (grey) closes; light rays below the critical impact parameter 3√3·GM/c² are swallowed, and escaping rays match the Einstein deflection δ = 4GM/c²b.
Finding: ride any galaxy and the little v-vs-d plot is the same perfect straight line through the origin — v = H·d holds everywhere. Space itself rescales; the Big Bang has no location and there is no centre.
Finding: 137.507764° = 360°/φ² — the most irrational angle there is (φ's continued fraction is all 1s). Rational-ish angles snap into spokes, near-misses into wasteful spiral arms; only the golden angle packs forever without gaps. Flowers reach it without arithmetic.
Finding: no fitness function, no code for "cell" — yet membranes, hunters and metabolisms turn up uninvited once the force table isn't symmetric. Order may be the default; staying boring is what takes work.
Finding: z ← z² + c, three symbols, more detail than the observable universe could display. Infinity isn't at the far edge of space — it's compressed inside arithmetic, and geometry is the decompressor.
Every one ran on a rule, an iteration budget and a question — no miracles consulted. Physics note: orbit precession here uses the standard pseudo-GR correction with curvature scaled up ×10⁶ so the rosette is visible; strong-field runs therefore exceed the first-order formula, as real strong fields do. The photon integrator was validated against Einstein's weak-field deflection and the exact capture boundary b = 3√3·GM/c².