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The number 1/999,999,999,999,999,999,999,998,999,999,999,999,999,999,999,999 has the Fibonacci numbers in order for every group of 24 decimals. This video explains why the pattern emerges. (sources, proofs, and links below)
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Pingala described the Fibonacci sequence 1,000 before: • The "Fibonacci" Sequen...
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"A Magic Trick from Fibonacci" by James Smoak and Thomas J. Osler. This academic paper explains why the fraction and related fractions have the Fibonacci numbers. www.rowan.edu/o...
The polynomial x/(1-x-x^2) is a generating function for the Fibonacci sequence. Here are some proofs.
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My Books
"The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 4/5 stars on 23 reviews) www.amazon.com...
"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 5/5 stars on 1 review) www.amazon.com...
"Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.5/5 stars on 11 reviews. www.amazon.com...
"Math Puzzles Volume 2" is a sequel book with more great problems. www.amazon.com...
"Math Puzzles Volume 3" is the third in the series. www.amazon.com...
"40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.9/5 stars on 7 reviews) www.amazon.com...
"The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head (rated 4.7/5 stars on 3 reviews) www.amazon.com...
"Multiply Numbers By Drawing Lines" This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 5/5 stars on 1 review) www.amazon.com...