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Darling, D. (n.d.). Cannonball problem. Retrieved December 06, 2020, from  
 
Darling, D. (n.d.). Cannonball problem. Retrieved December 06, 2020, from  
 
         https://www.daviddarling.info/encyclopedia/C/Cannonball_Problem.html
 
         https://www.daviddarling.info/encyclopedia/C/Cannonball_Problem.html
  
Lewis, H. (2020, February 19). Can computers be used to check mathematical proofs?
 
        Kepler and the fruit stacking problem. Retrieved December 06, 2020, from https://www.mathscareers.org.uk/can-computers-be-used-to-check-mathematical-
 
        proofs-kepler-and-the-fruit-stacking-problem/
 
  
National Center for Biotechnology Information (2020). PubChem Element Summary for  
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Lewis, H. (2020, February 19). Can computers be used to check mathematical proofs? Kepler and the fruit stacking problem. Retrieved December 06, 2020, from
        AtomicNumber 47, Silver. Retrieved December 6, 2020 from https://pubchem.ncbi.nlm.nih.gov/element/Silver.
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        https://www.mathscareers.org.uk/can-computers-be-used-to-check-mathematical- proofs-kepler-and-the-fruit-stacking-problem/
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National Center for Biotechnology Information (2020). PubChem Element Summary for AtomicNumber 47, Silver. Retrieved December 6, 2020 from  
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        https://pubchem.ncbi.nlm.nih.gov/element/Silver.
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Weisstein, E. (2020, November 19). Cubic Close Packing. Retrieved December 06, 2020, from  
 
Weisstein, E. (2020, November 19). Cubic Close Packing. Retrieved December 06, 2020, from  
 
         https://mathworld.wolfram.com/CubicClosePacking.html
 
         https://mathworld.wolfram.com/CubicClosePacking.html
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Weisstein, E. (2020, November 19). Hypersphere Packing. Retrieved December 06, 2020, from  
 
Weisstein, E. (2020, November 19). Hypersphere Packing. Retrieved December 06, 2020, from  
 
         https://mathworld.wolfram.com/HyperspherePacking.html
 
         https://mathworld.wolfram.com/HyperspherePacking.html
  
Wolchover, N. (2013, December 20). Mathematical Progress on Sphere-Packing Optimization  
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        Problems. Retrieved December 06, 2020, from https://www.quantamagazine.org/mathematical-progress-on-sphere-packing-optimization-problems-20131220/
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Wolchover, N. (2013, December 20). Mathematical Progress on Sphere-Packing Optimization Problems. Retrieved December 06, 2020, from  
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        https://www.quantamagazine.org/mathematical-progress-on-sphere-packing-optimization-problems-20131220/
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[[Sphere Packing 7: Conclusion|<-Conclusion]]
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[[Sphere Packing 0: Table of Contents|Sphere Packing Home]]
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[[Category:MA271Fall2020Walther]]

Latest revision as of 10:29, 6 December 2020

Works Cited

Author: Eli LeChien


Darling, D. (n.d.). Cannonball problem. Retrieved December 06, 2020, from

       https://www.daviddarling.info/encyclopedia/C/Cannonball_Problem.html


Lewis, H. (2020, February 19). Can computers be used to check mathematical proofs? Kepler and the fruit stacking problem. Retrieved December 06, 2020, from

       https://www.mathscareers.org.uk/can-computers-be-used-to-check-mathematical- proofs-kepler-and-the-fruit-stacking-problem/

National Center for Biotechnology Information (2020). PubChem Element Summary for AtomicNumber 47, Silver. Retrieved December 6, 2020 from

       https://pubchem.ncbi.nlm.nih.gov/element/Silver.


Weisstein, E. (2020, November 19). Cubic Close Packing. Retrieved December 06, 2020, from

       https://mathworld.wolfram.com/CubicClosePacking.html


Weisstein, E. (2020, November 19). Hypersphere Packing. Retrieved December 06, 2020, from

       https://mathworld.wolfram.com/HyperspherePacking.html


Wolchover, N. (2013, December 20). Mathematical Progress on Sphere-Packing Optimization Problems. Retrieved December 06, 2020, from

       https://www.quantamagazine.org/mathematical-progress-on-sphere-packing-optimization-problems-20131220/


<-Conclusion


Sphere Packing Home

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett