Pascal's Triangle is a hexagonal triangle where the top is one, and the numbers so on down are the sum of the numbers above it. Pascal's Triangle begins with 1, and has sides that are 1. The 2nd diagonal is the 'counting diagonal'. This part just increments by 1 each row. If you color in the odd numbers in the triangle, it will show an infinite pattern, that looks awfully like Sierpinski's Gasket, also known as the Sierpinski's Triangle. The triangle includes upside down triangles in the triangle, and has triangles in those, so on, so on.