NACRE

DIRECT EQUATION ARTWORK

A shell that
never existed.

A coordinate becomes a colour. Eleven folds emerge from a winding cosine. Every fold, highlight and hue comes from the 1.6 KB pixel function you can inspect below.

01 coordinate in 02 colour out 03 deterministic

The living equation

1200 × 900 px
05 / FINISHEDinitialising renderer
Click the artwork to inspect a pixel.

NACRE / 05

The field resolves into a nacreous spiral.

A live formula, evaluated in the browser. The phase control is an authored change of state, not fluid motion.

Five decisions

guided construction

STAGE 05 / FINISHED

Light lets the spiral become a surface.

C = P(0.16 + 0.90d) + s(1.10, 1.00, 0.95) + (1 − Nz)³(0.13, 0.30, 0.32)

The final field combines the authored pearl palette with analytic relief, a soft specular response and a display curve.

VISIBLE HELPERS c = clamp(a, 0, 1) · S(a) = c²(3 − 2c) · m = S((.835 + .026 cos q − r)/.018) · D = (1 − exp(−1.25 · max((1−m)b + mC, 0)))^(1/2.2) · full equation contract ↗

Finished / static

Edit the field

live parameters

Structure

shape

Illumination

colour + light

Three readings

presets

Verification

evidence

The JavaScript and separate Python implementations are compared pixel by pixel. The browser checks its GPU output against the same complete formula, including controls that deliberately flatten the folds.

Reading REPORT.json…

The current receipt will appear here.

Complete equation / CPU source disclosure

NACRE is direct pixel code. WebGL may execute the same arithmetic in parallel; the fallback path is the same written pixel contract. The palette, background, analytic lighting and display curve are included below — this is not a shell/fluid simulation, physical material model, photo fit or hidden raster.

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