Moving into any direction and reaching at the center is double division. It can be stated as when the numerator will become the divisor of the quotient it will always be a point in the center. Formula : ((n÷a)÷n) >=-1 and <=+1.
Eg: a) A person had 90 dollars and given to 11 persons and out of the 11 person 1 person given what he has got to 90 person. What value is with the 90th person?
b) A person had 50 dollars and given to 11 persons and out of the 11 person 1 person given what he has got to 50 person. What value is with the 50th person?
n=90, 50 and a = 11.
In both case answer is same ie. ((90÷11)÷90) = ((50÷11)÷50) = 0.090909
If the division process is repeated with the answer ie.
((0.090909÷11)÷ 0.090909) = 0.090909.
In case of any direction take "n" as a number between 1 to 360 and divide by constant "a" as number >1. 1 can be marked as a point anywhere in the circumference of a circle as value as a radius indicating direction of a choice.
See image below to know the geometry of the center and there will be fields like spatial frequency wave, sine wave in ascending and descending order and vice versa when more than such centers exist in parallel to each other from a common center..
If a = 0 ; then n = 0+(- or+)+n ; n/a/n = 0+(+ or-)+n /(+or-)+0/ 0+(+ or-)+n = 1.
When we know the answer need to bother about division by 0.