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The geoid is defined as a gravitational equipotential surface that coincides with mean sea level.
The curve is intended to fall along the equipotential between, as well as at,the specific points marked off, so the points should not be connected by straight line segments.
In fact Pontryagin used ideas introduced by Morse on equipotential surfaces.
This is the mean sea-level surface, and is also clearly a gravitational equipotential .
The Mandelbrot set is beautiful even if it is the monochromatic blot in the middle of the colorful depiction of equipotential lines.
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