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| + | === A Brief History of Sphere Packing=== | ||
''Author: Eli LeChien'' | ''Author: Eli LeChien'' | ||
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| − | + | <h1 style = "font-size:110%"> Pirates, Atomists, and Astronomers </h1> | |
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| − | Sphere Packing | + | Sir Walter Raleigh was a famous British explorer, although some consider him to be more akin to a pirate. He asked one of his assistants, mathematician and astronomer Thomas Harriet, what the most effective way to stack cannonballs is to minimize the space used for their storage on his ships. Thomas Harriet was an atomist, and so to him the solution to this question had much deeper ramifications than saving Sir Raleigh’s ship space; it could unlock the secrets of the universe itself. Through his interest in astronomy, Harriet was good friends with famous astronomer Johannes Kepler, with whom he spoke about the problem. In 1611, Kepler wrote in his book The Six-Cornered Snowflake that the ideal packing is the face centered cubic, with a packing density of around 74%. Despite the work that Harriet did on the problem, the face-centered cubic being the most dense packing became known as the Kepler Conjecture ([https://www.daviddarling.info/encyclopedia/C/Cannonball_Problem.html Darling]). It is unlikely that Sir Raleigh knew that his simple attempt to save space would be an ongoing mathematical mystery for hundreds of years. |
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| + | [[File:ABriefHistoryFigure1.png|200px|thumb]] | ||
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| + | A Kepler-Style Stack of Cannonballs ([https://www.daviddarling.info/encyclopedia/C/Cannonball_Problem.html Darling]) | ||
| + | </center> | ||
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| + | [[Sphere Packing 1: Introduction| <-Introduction]] | ||
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| + | [[Sphere Packing 3: Packing Basics|Packing Basics ->]] | ||
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| + | [[Sphere Packing 0: Table of Contents|Sphere Packing Home]] | ||
[[Category:MA271Fall2020Walther]] | [[Category:MA271Fall2020Walther]] | ||
Latest revision as of 10:32, 6 December 2020
A Brief History of Sphere Packing
Author: Eli LeChien
Pirates, Atomists, and Astronomers
Sir Walter Raleigh was a famous British explorer, although some consider him to be more akin to a pirate. He asked one of his assistants, mathematician and astronomer Thomas Harriet, what the most effective way to stack cannonballs is to minimize the space used for their storage on his ships. Thomas Harriet was an atomist, and so to him the solution to this question had much deeper ramifications than saving Sir Raleigh’s ship space; it could unlock the secrets of the universe itself. Through his interest in astronomy, Harriet was good friends with famous astronomer Johannes Kepler, with whom he spoke about the problem. In 1611, Kepler wrote in his book The Six-Cornered Snowflake that the ideal packing is the face centered cubic, with a packing density of around 74%. Despite the work that Harriet did on the problem, the face-centered cubic being the most dense packing became known as the Kepler Conjecture (Darling). It is unlikely that Sir Raleigh knew that his simple attempt to save space would be an ongoing mathematical mystery for hundreds of years.
A Kepler-Style Stack of Cannonballs (Darling)
