Drilling Holes Through Balls and Cubes: Maximizing the Total Exposed Surface Area

Suppose that we are allowed to drill a cylindrical hole of any radius through the center of a unit ball or a unit cube in a given direction. Which radius will maximize the total exposed surface area (ESA) of the finished object? If we are allowed to drill two or three mutually orthogonal cylindrical...

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Detalles Bibliográficos
Autores principales: Kaur, Jaskirat, Lally, Jasmeen, Sarkar, Jyotirmoy
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer India 2021
Materias:
General Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8067783/
http://dx.doi.org/10.1007/s12045-021-1151-y
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author Kaur, Jaskirat
Lally, Jasmeen
Sarkar, Jyotirmoy
author_facet Kaur, Jaskirat
Lally, Jasmeen
Sarkar, Jyotirmoy
author_sort Kaur, Jaskirat
collection PubMed
description Suppose that we are allowed to drill a cylindrical hole of any radius through the center of a unit ball or a unit cube in a given direction. Which radius will maximize the total exposed surface area (ESA) of the finished object? If we are allowed to drill two or three mutually orthogonal cylindrical holes of the same radius, which common radius will maximize the total ESA?
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spelling pubmed-80677832021-04-26 Drilling Holes Through Balls and Cubes: Maximizing the Total Exposed Surface Area Kaur, Jaskirat Lally, Jasmeen Sarkar, Jyotirmoy Reson General Article Suppose that we are allowed to drill a cylindrical hole of any radius through the center of a unit ball or a unit cube in a given direction. Which radius will maximize the total exposed surface area (ESA) of the finished object? If we are allowed to drill two or three mutually orthogonal cylindrical holes of the same radius, which common radius will maximize the total ESA? Springer India 2021-04-24 2021 /pmc/articles/PMC8067783/ http://dx.doi.org/10.1007/s12045-021-1151-y Text en © Indian Academy of Sciences 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle General Article
Kaur, Jaskirat
Lally, Jasmeen
Sarkar, Jyotirmoy
Drilling Holes Through Balls and Cubes: Maximizing the Total Exposed Surface Area
title Drilling Holes Through Balls and Cubes: Maximizing the Total Exposed Surface Area
title_full Drilling Holes Through Balls and Cubes: Maximizing the Total Exposed Surface Area
title_fullStr Drilling Holes Through Balls and Cubes: Maximizing the Total Exposed Surface Area
title_full_unstemmed Drilling Holes Through Balls and Cubes: Maximizing the Total Exposed Surface Area
title_short Drilling Holes Through Balls and Cubes: Maximizing the Total Exposed Surface Area
title_sort drilling holes through balls and cubes: maximizing the total exposed surface area
topic General Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8067783/
http://dx.doi.org/10.1007/s12045-021-1151-y
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