mallory — 3D surface

A 2D curve and a 3D surface, sharing one reactive core.

Via CellGraph: sampling (sample-function.ts vs sample-surface.ts) and rendering (Canvas2D vs Three.js) differ, but the expression/params/free-var plumbing is the same. A "cross-section y" slider highlights the 3D surface's matching slice in red -- with the default expressions, that slice exactly traces the 2D pane's curve at y=0. "Export video" renders a shareable MP4/GIF of the surface with a full camera orbit, server-side via ecmanim.

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y =

Objects

Structure:

Float Exact

y = 0.0000, f'(0.0000) = 1.000000

dy/dx =

\cos(x)

Show extrema

z =

Drag to orbit, scroll to zoom.

duration (s): format:

Export preview0.00s — release to preview

Cross-section y = 0.00 (highlighted in red on the 3D surface)