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In mathematics, sometimes a problem that appears difficult can be solved in an incredibly simple manner when looked at from the right perspective. The sphere packing problem is the absolute opposite of this: it is easy to understand, but painfully difficult to prove. After centuries, mathematicians finally crumbled and formed a proof by exhaustion, proving Kepler’s conjecture. Though there is no satisfying proof; this story of pirates, copper coins, silver bars, and gold codes is not a dry one. After gaining this knowledge, one cannot help but do a double take next time he or she observes a face-centered cubic stack of cantaloupes at the store. | In mathematics, sometimes a problem that appears difficult can be solved in an incredibly simple manner when looked at from the right perspective. The sphere packing problem is the absolute opposite of this: it is easy to understand, but painfully difficult to prove. After centuries, mathematicians finally crumbled and formed a proof by exhaustion, proving Kepler’s conjecture. Though there is no satisfying proof; this story of pirates, copper coins, silver bars, and gold codes is not a dry one. After gaining this knowledge, one cannot help but do a double take next time he or she observes a face-centered cubic stack of cantaloupes at the store. | ||
| − | [[Sphere Packing 6: Applications of Higher Dimensional | + | [[Sphere Packing 6: Applications of Higher Dimensional Packings|<-Applications of Higher Dimensional Packing]] |
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| + | [[Sphere Packing 8: Works Cited|Works Cited->]] | ||
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[[Sphere Packing 0: Table of Contents|Sphere Packing Home]] | [[Sphere Packing 0: Table of Contents|Sphere Packing Home]] | ||
[[Category:MA271Fall2020Walther]] | [[Category:MA271Fall2020Walther]] | ||
Latest revision as of 11:29, 6 December 2020
Conclusion
Author: Eli Lechien
In mathematics, sometimes a problem that appears difficult can be solved in an incredibly simple manner when looked at from the right perspective. The sphere packing problem is the absolute opposite of this: it is easy to understand, but painfully difficult to prove. After centuries, mathematicians finally crumbled and formed a proof by exhaustion, proving Kepler’s conjecture. Though there is no satisfying proof; this story of pirates, copper coins, silver bars, and gold codes is not a dry one. After gaining this knowledge, one cannot help but do a double take next time he or she observes a face-centered cubic stack of cantaloupes at the store.
<-Applications of Higher Dimensional Packing
