Monday, February 06, 2012


If you divide 360 by 7, you get the title of this post.  The "428571" repeats infinitely. Because of this, drawing a circle divided into sevenths is always an approximation. It is probably an unnoticable approximation, because the width of the line in the drawing occupies some portion of a degree, but it is interesting.

7 is the only number in the series of base 10 numbers that cannot be divided evenly into 360. The numbers 1-6, 8,9 can all divide a circle into sections equally without problem.

If you add the numbers 4+2+8+5+7+1, it equals 27. If you divide 27 by 7, you get:
3.857142857142857142857142857142... the repeating series contains the same numbers that appear when you divide a circle by 7, but in a different order

If you add the numbers 2+7 = 9, and divide that by 7, you get


And 428571, 285714, 142857 are all evenly divisible by 27, which is the sum of their individual numbers, as are 857142, 571428 and 714285, and of course 27 is also evenly divided by the sum of its individual numbers.

Seven is 1 + 2 + 3. Of 1, 2 and 3 there are these seven possible non-repeating combinations


The unique values of these combinations, when their' individual digits are added, gives us this
Where's the 6? Ah ha! The one value that is repeated is 3, 3+3 = 6

Seven is mystical indeed. Seven days, seven lampstands, seven seals, seven spirits. Seven.

Isn't all that interesting? There is some more information here


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