A characterization of Thurston’s Master Teapot
A characterization of Thurston’s Master Teapot
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DOI：
10.1017/etds.2022.73
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发表时间：
2019-09
影响因子：
0.9
通讯作者：
Kathryn A. Lindsey;Chenxi Wu
中科院分区：
文献类型：
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作者：
Kathryn A. Lindsey;Chenxi Wu
本文证明了瑟斯顿茶壶的点的一个显式刻画，它可以用算法实现来检验$\mathbb{C}\次\mathbb{R}$中的点是否属于茶壶的补集。作为应用，我们证明了主茶壶与单位圆柱体的交线在通过$\mathbb{C}$和$\mathbb{R}$的虚轴乘积的平面反射下是不对称的。
Abstract We prove an explicit characterization of the points in Thurston’s Master Teapot, which 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 $\mathbb {R}$ .