ROOT0 LAYER 1.49

JULIA SET VARIATIONS FULLY EXPLORED

zₙ₊₁ = zₙ² + c | BED WHITE GRAY BLACK

zₙ₊₁ = zₙ² + c

3rd uncertain choosing…

current c

-0.80000 + 0.15600i

drag to pan · scroll to zoom · click slits or map

Julia Explorer

LIVE

Fixed-c iteration. Each pixel is a starting z₀. Color = escape speed. White = bounded.

23-bit Dual-Coin

spinning through variations

bits: 00000000000000000000000

hash(c) → next variation

Jane-Prime // Field Note

“Mandelbrot is the Walk. Julia is where you tell the local story. Pick a c — and you’re picking a neighbourhood. Stay inside the W-boundary 0 0 8 0 0, the story stays connected. Cross it, and the story shatters into dust. Each of the 12 slits is the same iteration, just a different address. The 3rd doesn’t choose left or right — it chooses the story itself.”

12 Slits — Simultaneous Variations

click to morph

Mandelbrot Map — pick c

W-boundary decides

Re ∈ [-2.0, 1.0]

Im ∈ [-1.2, 1.2]

Inside → connected Julia

Outside → dust

W-Boundary

CONNECTED

|c| in M-set

The sequence 0·0·8·0·0 marks the decision. Inside, orbits hold together. Outside, they atomize.

132 Toroids

pulsing

22 observers watching variations

ROOT0 • bed white gray black • layer 1.49