Here is a Beautiful Mathematical Relationship, concerning the distances between the orbits of the planets in the solar system. This system helped Scientists discover the planet Neptune on paper before any one ever saw it. Then they discovered that you can see it with the smallest telescope.

1. Bode's rule given as follows: Write down the sequence
   1. 0, 3, 6, 12, 24, 48, 96, 192, 384
   To each number add 4
   1. 4, 7, 10, 16, 28, 52, 100, 196, 388
   Divide each by 10.
   1. .4, .7, 1.0, 1.6, 2.8, 5.2, 10.0, 19.6, 38.8
   See Table Of the first eight results
   1. (0.4, 0.7, 1.0, 1.6, 2.8, 5.2, 10.0, 19.6, 38.8)
2. Values given for Bode's Number     in the astronomical unit, (A.U.) the distance from the earth to the sun 93,000,000 miles. the distance between the planet of interest in terms of the ratio of and the bode's rule result agree very closely.
3. No one can explain why this is such, but the fact that is does certainly is intriguing.
4. Here is another relationship of interest.