The Topology of Costa's Minimal Surface

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Costa's minimal surface is described as a torus with three points removed. How is this done? The points are literally removed from and flung to infinity. Here is a Demonstration of specifically where on the torus the points are removed and how the torus turns itself inside-out when the resulting ends of the surface are flung to infinity.

Contributed by: Stewart Dickson (March 2011)
Open content licensed under CC BY-NC-SA


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