But WHY Does This Pattern Occur? Beauty of Numbers

If you multiply a number with only 1s by itself, you end up with a palindrome of the numbers in ascending and then descending order. People have called this an example of the "beauty of mathematics." If your number has N digits of 1, then its square will be the numbers 1 to N in ascending and then descending order. The pattern continues indefinitely, although it "breaks" after 9 because of carry over. I explain why the pattern happens using the method of multiplying by lines.

Multiply by lines:    • How To Multiply Numbers And Algebra Equati...  

Blog post (text summary): http://wp.me/p6aMk-4pp

If you like my videos, you can support me at Patreon:   / mindyourdecisions  

Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you.

My Blog: http://mindyourdecisions.com/blog/
Twitter:   / preshtalwalkar  
Facebook:   / 168446714965  
Google+: https://plus.google.com/1083366085665...
Pinterest:   / preshtalwalkar  
Tumblr:   / preshtalwalkar  
Instagram:   / preshtalwalkar  
Patreon:   / mindyourdecisions  

Newsletter (sent about 2 times a year): http://eepurl.com/KvS0r

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) https://www.amazon.com/gp/product/150...

"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) https://www.amazon.com/gp/product/152...

"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. https://www.amazon.com/gp/product/151...

"Math Puzzles Volume 2" is a sequel book with more great problems. https://www.amazon.com/gp/product/151...

"Math Puzzles Volume 3" is the third in the series. https://www.amazon.com/gp/product/151...

"40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.9/5 stars on 7 reviews) https://www.amazon.com/gp/product/151...

"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) https://www.amazon.com/gp/product/150...

"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) https://www.amazon.com/gp/product/150...