02. A Perfect Experiment

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The Geometry of Closed Packed Spheres

Nick Trif

23 episodes

1 day ago

The Geometry of Closed Packed Spheres Mission statement: To change minds, to open eyes, to educate and inspire people designing and building better worlds. Beauty makes beautiful things beautiful! A sphere can be completely surrounded by exactly twelve other identical spheres. Close-packing of spheres helps us explore the shape of the physical space. A good design of a 3D structure shall obey the principles, freedom, and constraints imposed by the physical space around us.

Mathematics

Science

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Mathematics

Science

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02. A Perfect Experiment

The Geometry of Closed Packed Spheres

9 minutes 25 seconds

1 year ago

02. A Perfect Experiment

Chapter 2 of the book: “From Riemann Hypothesis to CPS Geometry and Back Volume 1 (https://www.amazon.com/dp/B08JG1DLCV) ”, Canadian Intellectual Property Office Registration Number: 1173734 (http://www.ic.gc.ca/app/opic-cipo/cpyrghts/srch.do?lang=eng&page=1&searchCriteriaBean.textField1=1173734&searchCriteriaBean.column1=COP_REG_NUM&submitButton=Search&searchCriteriaBean.andOr1=and&searchCriteriaBean.textField2=&searchCriteriaBean.column2=TITLE&searchCriteriaBean.andOr2=and&searchCriteriaBean.textField3=&searchCriteriaBean.column3=TITLE&searchCriteriaBean.type=&searchCriteriaBean.dateStart=&searchCriteriaBean.dateEnd=&searchCriteriaBean.sortSpec=&searchCriteriaBean.maxDocCount=200&searchCriteriaBean.docsPerPage=10) , Ottawa, ISBN 9798685065292, 2020. On Google Books: https://books.google.ca/books/about?id=jFQjEQAAQBAJ&redir_esc=y On Google Play: https://play.google.com/store/books/details?id=jFQjEQAAQBAJ Summary

The text explores the concept of "mental experiments" in mathematics, arguing that mathematics, like the physical world, can be investigated through a process of experimentation and measurement. The author uses the problem of determining the distribution of prime numbers as an example, highlighting the need to define fundamental concepts like "multiplication" and "addition" before performing such mental experiments. The author concludes that these mental experiments can be performed with perfect accuracy, resulting in measurements that exactly match the "actual" mathematical reality.