(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need to get a general function in 2 variables f(m,n). You can see a graphicon with charasteristic points:

In the first example m=2 (m is period).

https://www.physicsforums.com/attachm...1&d=1329945735 [Broken]

In the next example m=3:

https://www.physicsforums.com/attachm...1&d=1329945822 [Broken]

For m=4:

https://www.physicsforums.com/attachm...1&d=1329945902 [Broken]

and so on.

The task is to find a general function f(m,n) with these terms:

The function has to be periodic.

The function has to include those blue and red points in each example.

The value of the function has to be f(m,n) =1 ONLY in blue points, and the value of the function has to be f(m,n)=0 ONLY in red points.

The look of the function isn't important as long as it complies with previous terms.

2. Relevant equations

see above

3. The attempt at a solution

try to use absolute, trigonometric functions

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# Looking for function

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