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Experiment 003 / Parametric geometry

Math, taking shape.

A curve becomes a surface. Change its shape, turn it around, look a little closer.

FORM STUDY / knotDrag to rotate
This interactive form needs JavaScript.
2,048 faces · Local rendering

Make a small change

A shape
of your own.

Start with a loop, bend its path, then wrap a tube around it. The geometry is calculated here in your browser.

Starting form

Under the surface

The centreline is sampled at 128 positions. Sixteen vertices wrap around each position. Faces are rotated, sorted by depth, and shaded using their surface normals.

Read the geometry

Keep exploring

What happens when the rule is the same,
but the beginning is different?

Explore

↑ ↓ to move · Enter to choose · Esc to close