| Taxicab
Geometry
In taxicab
geometry, you can move only vertically or
horizontally. So the distance between two points is the
horizontal distance plus the vertical distance (as opposed to
regular geometry, where you can use the Pythagorean
Theorem). This makes for unusual ellipses, hyperbolas,
and circles.
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Hints:
An ellipse is the set of
points whose distances from the focus points sum to k
units. A hyperbola is the set of points whose
distances from the focus points differ by k units
(use a small-ish k). Try a k that is one unit
different if you are having trouble with the ellipse or
hyperbola.
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