1.2: The primary Bulbs counting
- Page ID
- 101024
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One can obtain m/n rotation number for the largest bulb between the 1/2 and 1/3 bulbs (note that they are both larger then our new bulb) by adding the numerators and adding the denominators (Farey addition rule)
2/5 = 1/2 + 1/3
Explore the picture to test bulbs rotating numbers m/n.
So we get next primary bulbs sequences:
1/2 + 1/3 = 2/5 + 1/2 = 3/7 + 1/2 = 4/9 +... and
1/2 + 1/3 = 2/5 + 1/3 = 3/8 + 1/3 = 4/11 +....
And at last 1/n sequence!
1/2 + 0/1 = 1/3 + 0/1 = 1/4 + 0/1 = ... = 1/n
