ParametricCurve

A curve as three coordinate expressions in $t$ , compiled and sampled over $[0,\text{span}]$ — the general form KnotCurve is a convenience over.

ParametricCurve(x, y, z, span?, samples?)the sampled points of the parameterisation

Typed signatures

Type	Package	Applies
`(any, any, any, number?, number?) -> list<list<real>>`	`braid`	always

Domain: Braids and knots

Examples

Basic #

A circle in the plane, sampled at 40 points over $[0, 2\pi]$

\mathrm{Length}(\mathrm{ParametricCurve}(\cos(t), \sin(t), 0, 2π, 40))

Out

40

The last of 40 samples of a line over $[0, 1]$ stops one step short of the end

\mathrm{Last}(\mathrm{ParametricCurve}(t, 2t, 3t, 1, 40))

Out

\bigl\lbrack0.975, 1.95, 2.925\bigr\rbrack

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Examples	2