Town separation by track & crow
An old town wishes to link to a new suburb by commuter rail.
They turn to a trigonometrically obsessed railroad builder
who suggests laying sine-function shaped tracks from
the old town to the site of the new suburb.
[Quarter cycle sine function rail tracks of all sizes are available at low cost.]
You can position the new suburb by dragging the YELLOW
dot in the left panel.
You can adjust the "curvy-ness" of the railroad track using the slider.
Can you explain the shape of the curves in the right panel?