TWIST-J

Scope: the F₅⁶ checkpoint update is exact at its finite scope. This browser uses a 32-bit counter; projected IFS coordinates, fields, forces, and rendering use GPU floating-point arithmetic. The architecture and decoder are declared separately from J.

J-Operator: J = 1 + ζ₅² — a single algebraic axiom.
Thue-Morse sequence serves as time driver in TWIST-J.
Kernel: z=Tr(x), t=TM(n), i=(z+2t) mod 5, x←gᵢ(x).
Demo labels: gyron → mass-like (R), d/e → charge-like (G/B).
Illustrative fields: ∇ρL = gravity-like, -∇ρS = pressure-like, sign(ρQ)·∇ρQ = plasma-like.
Illustrative clock overlay: dτ/dn = 1/(1+K·ρ).

TOGGLES

ESCpause / resume

SPACE (hold)invert mouse attract/repel

Rreset (new particles, keep settings)

Bdefaults (reset + all sliders to default)

1KERNEL on/off

2FIELD on/off

3MOUSE on/off

4CHAOS on/off

5PUMP on/off

6DIRECT IFS on/off (floating-point projected map; bypasses forces)

Mmouse: repel / attract

P / Nmore / fewer particles

Shift+P/Nbeyond slider (vm2000=22M, vm8000=87M, vm16000=175M)

7 / 8palette

CAMERA

+ / -zoom

← / →spin (auto-rotate)

0reset rotation + pan + spin

Shift+dragpan camera

Wheelzoom toward cursor

Shift+Wheelrotate

Touch1 finger = mouse, 2 fingers = zoom + rotate

PHYSICS

↑ / ↓gravity

[ / ]damping

; / 'IFS force

, / .pressure

Q / Acharge

< / >vortex (orbit vs fall)

W / Stime K

E / Dtime min

T / Gpump strength

9 / 0react intensity (0 = camera reset when REACT off)

F / Vdensity (deposit multiplier)

Z / Xchaos

I / Ktrail (fade)

O / Lfield fade

J / Ytempo (slow / fast)

9 / 0react intensity (when REACTIONS on)

DISPLAY

Hshow / hide this help

Uhide all UI (clean canvas for screenshots)

Mtoggle audio (Schumann riff engine)

TABhide / show controls

Press C or the SHARE button to copy a URL encoding all current settings. Anyone opening the link starts with the same configuration. Explore, then share what you find.

LINKS

twistj.com

ALWAYS THE SAME. FOREVER NEW.
SIMPLIZIS.