patterns

=Hockey stick Pattern and Polygonal Numbers patterns:=

In this Picture, you will see a demonstration of three of the the patterns contained within pascal's triangle. The first pattern, the hockey stick pattern, is a simple pattern. it states that any row of diagonal numbers, starting from an outer 1, can be added together to equal the number on the diagonal. = = = = ==

These patterns are explained in the pictures, changes have been made the original copy of the triangle to help demonstrate the patterns. the original picture comes from: http://mathforum.org/workshops/usi/pascal/images/pascal.hex2.gif

=Sum of rows= = = =triangles within triangles=