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A characterization of Thurston's Master Teapot

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arxiv 1909.10675 v2 pith:LSFSAIDR submitted 2019-09-24 math.DS math.GT

A characterization of Thurston's Master Teapot

classification math.DS math.GT
keywords mastermathbbteapotcharacterizationthurstonalgorithmicallyapplicationaxis
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We prove an explicit characterization of the points in Thurston's Master Teapot. This description can be implemented algorithmically to test whether a point in $\mathbb{C} \times \mathbb{R}$ belongs to the complement of the Master Teapot. As an application, we show that the intersection of the Master Teapot with the unit cylinder is not symmetrical under reflection through the plane that is the product of the imaginary axis of $\mathbb{C}$ and $\mathbb{R}$.

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