Sums of waves.............Joe F...............45/45 degree right triangle...................459045..........the 11th through the 16th number in e.......................16............like 1.6..........how the golden ratio starts out............

pi = 3.14......................3 and 4.............where a quantum leap happens with regards to successive pairs of numbers.........products and sums.....................multiplication and addition...........they are self similar........................multiplication is just multiple addition............self similar.........chaos theory................................................







1/4 = 0.25...............1/5 = 0.20................add those two together.............0.45.........like 45 degrees....................a 1 : 1..........square root of 2.......right triangle........written like that.........is like 2 - 11........what I call one of the prime fundamentals................459045 is in e..........the 11th through the 16th number in e......................11 + 16 = 27...................if u add.......459045.............up one number to another...............4 + 5 + 9 + 0 + 4 + 5 = 27...........................two 27's................which is exactly how e starts out......2.7..........fractal patterns.........a block of 6 numbers.......imp. b/c 6 is the 1st perfect number....................................27 + 27 = 54.............like 5/4 from Euler's product ............the middle term..........when grouped by 5's..............................when u compare 5/4 with 19/18............the middle term in the next 5.................middle............like the Bell curve........most of the data is concentrated at the middle...............where the slope is 0...........................459045.............also has a zero.......5/4 forms reflexive sym with 45 degrees..........in a 45/45 right triangle...................5/4 and 19/18...........+14 and + 14.....................from 5 to 19 is a jump of 14.......from 4 to 18.........is a jump of 14.......like 14i.........the imag part of the 1st zero..................two 14's............exactly how the square root of 2 starts out..........1.414............................the square root of 2 is the hyp of a 45/45 right triangle when the two lesser sides are 1 : 1...................two lesser sides.............are 1 and 1........a fractal pattern...........b/c if u just take the length of the sides......is is 1: 1...................and the square root of 2 for the hyp..............................it matters a lot how u look at it...............sums of waves Joe F.........my dear Frenchman.......