Friday, August 31, 2018

As with the unit circle.....8 up and 8 down...................the dividing line being the x axis.......half positive, half negative...............1/8 pi to 8/8 pi..........................them 9/8pi to 16/8 pi for the bottom half......all in the negative side.......................1/8 then 2/8...........18281828.........the "curious repetition of 1828 in e".............................

Using the Greek observation that banging the side of an urn filled with water makes a note go up an octave......1/8th.....................16 total 1/8ths in 2pi......even negative even number on the x axis has a zero......every even integer is every other one.........

1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 8/8.....they are all 1/8s of pi.................all the even numerators simplify........8 is an even number..........every other fraction simplifies........

1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 8/8
1/8, 1/4, 3/8, 1/2, 5/8, 3/4, 7/8, 1/1....(1).............every other term simplifies.........all the primes do not...........................

The critical line at 1/2.....1/8th and 2/8th are the 1st two fractions...............just like the c line.....and 1828 in e..............3 - 10...........3 + 10 = 13............14.13i........the square root of 13 starts.....3.60555.........like full circle.....18281828 are the 3rd - 10th numbers in e........13 is the closest prime to the 1st zero and in its dec expansion........................



Golden ratio
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. The figure on the right illustrates the geometric relationship. Wikipedia
Binary1.1001111000110111011
Decimal1.6180339887498948482...
Hexadecimal1.9E3779B97F4A7C15F39

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