#### LiveSsenkrad

##### Member

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**Number triangles? Pythagoras is my theory..**

So I was playing around with some square numbers, and I created a sequence, that when looked at in a spreadsheet (will be included) it creates triangles out of numbers.

I'll first try to explain what I did, and by try, I really mean try, because in my head it makes perfect sense =]

So in Column A I created a simple sequence that is double numbers counting: 11; 22; 33; 44; 55 ... 150150.

In Column B I simply squared the numbers in Column A.

In Column C I did something different, I removed the 1ths and 10ths from Column B, why I did this is something I'd rather not go into now.

In Column D I simply squared the single number of the double numbers, e.g.: 150150 is 150^2, 99 is 9^2.

In Column E I subtracted Column D with Column C, and got the absolute value of it.

Column F to Column EY I subtracted the previous Column's number above it, and next to it, e.g.: F11 =ABS(E11-E10).

Now when you take a look at the numbers it forms right-angled triangles everywhere, of all shapes and sizes! Even more peculiar is that the seemingly binary also has triangles in them, just look at the 0's! I want to know why this happens.

Attachments:

Excel File with triangles

Example of triangles: