Pascal's triangle

  

First off, let me say that Pascal's Triangle is not a musical instrument.

Second of all, Pascal's Triangle will blow your mind. I hope.

Pascal's triangle has many patterns. First if you add all the numbers in the row together, you get the powers of 2. The first row would be 2 to the zero power which is equal to 1. Any number with the power of zero is equal to one. Then the next row has 2 to the first power, so that is equal to 2. And the pattern continues down the line. Another pattern with Pascal's Triangle is toe powers of 11. The first 5 rows are pretty explanatory, while any row after that gets somewhat confusing. The first row is the answer of eleven to the zero power. The second row is the answer to 11 to the first power, which is 11. Then on the 5 row, eleven is raised to the 4th power and that is equal to 14641. The pattern goes on from there.

Another pattern on Pascal's Triangle is if you go down to the second row and look at the second "one" going down diagonally to the left, you will notice that the entire set of counting numbers is there is counting number order. And the diagonal row below that is the triangular numbers. Triangular numbers are the numbers that can be formed by making a triangle. If you ever wanted to organize objects, you would put one on the table and the center of the first object would be above the point where the bottom two objects touch. Then you would have 3 objects. You would continue doing that until you got bored or just ran out of objects. Another way to use the pyramid idea is in swimming. You would start off with, say 200 yards, then a rest. Continue on to 100 yards, rest. Then split the previous length in half and swim that. That is in a way, like triangular numbers. Because there is more on the bottom than on the top, it ends up looking like a triangle, even if the total lengths don't add up to exactly the triangular number.

So I just ranted about Pascal's Triangle for some time now, right? Well.......he actually didn't come up with this idea. The Chinese mathematicians came up with the idea of organizing numbers long, long before Blaise Pascal even was born. The Chinese organized the numbers into a right triangle and Pascal organized it onto an isosceles triangle. That's why he gets the credit: it was different than the old way of doing it.

I felt that the blog needed some laughs. (Self explanatory)