Moon in a Puddle and the Four-Vertex Theorem

Anton Petrunin; Sergio Zamora Barrera; Ana Cristina Chávez Cáliz

doi:10.1080/00029890.2022.2041355

Moon in a Puddle and the Four-Vertex Theorem

Anton Petrunin, Sergio Zamora Barrera, Ana Cristina Chávez Cáliz

Research output: Contribution to journal › Comment/debate › peer-review

2 Scopus citations

Abstract

We present a proof of the Moon in a puddle theorem, and use its key lemma to prove a generalization of the four-vertex theorem.

Original language	English (US)
Pages (from-to)	475-479
Number of pages	5
Journal	American Mathematical Monthly
Volume	129
Issue number	5
DOIs	https://doi.org/10.1080/00029890.2022.2041355
State	Published - 2022

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1080/00029890.2022.2041355

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title = "Moon in a Puddle and the Four-Vertex Theorem",

abstract = "We present a proof of the Moon in a puddle theorem, and use its key lemma to prove a generalization of the four-vertex theorem.",

author = "Anton Petrunin and Barrera, {Sergio Zamora} and C{\'a}liz, {Ana Cristina Ch{\'a}vez}",

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T1 - Moon in a Puddle and the Four-Vertex Theorem

AU - Petrunin, Anton

AU - Barrera, Sergio Zamora

AU - Cáliz, Ana Cristina Chávez

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N2 - We present a proof of the Moon in a puddle theorem, and use its key lemma to prove a generalization of the four-vertex theorem.

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DO - 10.1080/00029890.2022.2041355

M3 - Comment/debate

AN - SCOPUS:85128748431

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SP - 475

EP - 479

JO - American Mathematical Monthly

JF - American Mathematical Monthly

IS - 5

ER -

Moon in a Puddle and the Four-Vertex Theorem

Abstract

All Science Journal Classification (ASJC) codes

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