[AntonioLao]

Blaise Pascal http://en.wikipedia.org/wiki/Blaise_Pascal could also be considered as the cofounder of probability theory. He was a major contributor to projective geometry. During his short but eventful 39 years on planet earth he made some vital discoveries for both math and physics. In math, this is the triangle that forever bears his name.

Pascal’s Triangle is synonymous with the binomial theorem. In probability, it is used for finding the combination of enumerable distinct objects taken as many groupings though the number of elements within each group is not to exceed the total number of these distinct objects. For example, the combination of 6 objects taken 2 at a time is 15. What is mathematically surprising is that there is an underlying symmetry which demonstrated that the combination of 6 objects taken 4 at a time is also 15. Carrying to the extreme, the combination of “infinity” objects taken “infinity”-1 time is the same as the combination of “infinity” taken 1 at a time. For ease of computation, assuming there are 10 objects (the sun and the 9 planets) although Pluto is not considered as one anymore. 10 objects taken 2 at a time give a total of 45 possible gravitational configurations. On the other hand, 10 objects taken 8 at a time also give a total of 45 gravitational possibilities. The former are solutions for 2-body systems, while the latter are solutions for many-body systems.