In a Cartesian diagram, given a size $s$, suppose I create $m$ segments as such:
I connect $(0,s/m)$ with $(s,0)$; $(0,2s/m)$ with $(s-s/m,0)$; ... ; $(0,s)$ with $(s/m,0)$.
For example, if $s=4$ and $m=4$, we connect:
$\begin{align*} (0,1)&\rightarrow(4,0)\\ (0,2)&\rightarrow(3,0)\\ (0,3)&\rightarrow(2,0)\\ (0,4)&\rightarrow(1,0)\\ \end{align*}$
Now, let's consider the locus of the intersections between adjacent segments. As $m\to\infty$, the locus should define a curve.
What type of curve is it? Does it have an analytical expression and a name?