what is different between curve length and curve domain?

length_domain.gh (11.3 KB)

Put another way, curve length is self-explanatory and obvious but what is curve domain?

So a Curve, * C*, is a a mathematical function that maps from the number line to 3d space. Therefore we get something like

The function can take any t on the number line, however, infinitly long curves arn’t particularly useful so we define a start and end value for * t*, this is called the domain of

The length is the actual geometric length of the curve.

A good example :

A line * C(t) = t * <3,4,7> + (1-t) * <1,2,3> : 0<t<1* has a domain of 0 to 1 and a length of 4.899.

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