I have a parametric curve $\vec r(t)$ with domain $t \in [0, L]$, where L is the arc length of the curve. Is there any technical term to refer to the begin (the point of $\vec r(0)$ and end (the point of $\vec r(L)$) of the parametric curve?
Context: I'm working on a game where racetracks are parametric curves and racetracks are joined together through either end (begin/end) of each curve. I found the names enum TrackBeginOrEnd { Begin, End } very awkward.
The beginning and end of a path are called the "endpoints." I have tended to call them the "start" or "beginning" and the "end" of the path myself, when I need to distinguish between them. Here, a path is a function $[0,1]\to X$ for some space $X$.