A characterization of Thurston’s Master Teapot
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 w...
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| Published in | Ergodic theory and dynamical systems Vol. 43; no. 10; pp. 3354 - 3382 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Cambridge, UK
Cambridge University Press
01.10.2023
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 0143-3857 1469-4417 |
| DOI | 10.1017/etds.2022.73 |
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| 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
$\mathbb {R}$
. |
|---|---|
| AbstractList | 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 \(\mathbb {R}\). 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 $\mathbb {R}$ . |
| Author | WU, CHENXI LINDSEY, KATHRYN |
| Author_xml | – sequence: 1 givenname: KATHRYN orcidid: 0000-0001-8164-6791 surname: LINDSEY fullname: LINDSEY, KATHRYN email: kathryn.lindsey@bc.edu organization: †Department of Mathematics, Boston College, Boston 02467, MA, USA (e-mail: kathryn.lindsey@bc.edu) – sequence: 2 givenname: CHENXI orcidid: 0000-0001-5856-6435 surname: WU fullname: WU, CHENXI email: wuchenxi2013@gmail.com organization: ‡Department of Mathematics, University of Wisconsin at Madison, Madison 53706, WI, USA |
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| Copyright | The Author(s), 2022. Published by Cambridge University Press The Author(s), 2022. Published by Cambridge University Press. This work is licensed under the Creative Commons Attribution License https://creativecommons.org/licenses/by/4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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| Snippet | 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... 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... |
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