Lines, Polylines, and Curves can be described both geometrically and numerically.

The numeric description of any of these geometry types can be understood as the “Parameter Space” of the curve. This space is one dimensional and not necessarily tied to the Euclidean space of the modeling environment but is always tied to the topology of the curve. The bounds of this space is called the “Curve Domain” which can be navigated numerically through the native domain or through a “Reparameterized” domain that forces the bounds to be 0.0 and 1.0. The current value at which this navigation is possible is called the “t” value or “parameter.”

This Curve Primer constructs curves and their unrolled counterparts allowing user interaction as well as generating live visual feedback.

Download the Grasshopper Definition (version 0.6.0019) from modeLab.