Punctured Torus Determines a punctured torus and draws the limit set of a covering group
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Punctured Torus Description

Determines a punctured torus and draws the limit set of a covering group Punctured Torus is a free application that allows you to independently set the two complex values which determine a punctured torus, and then draws the limit set of the covering group, conceived of as acting on hyperbolic 3-space + plane at infinity. There are options for controlling how many group elements are calculated; and for controlling the rendering, such as whether it should be drawn as the Riemann sphere or flat; in the former case, one can display part of the pleated surface within hyperbolic space corresponding to the group. You can also display fixed points and words associated to the almost parabolic elements in the group, which play an important role in characterizing the limit set. Finally, once you set one of the parameters, Punctured Torus attempts to detemine and display the boundary of the Teichmuller space for the other parameter, but this feature does not work reliably. Requirements: · Java 1.5 or later

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