Endless pattern based on prime numbers

Hi, Habr! One morning, I had the idea to find an " exclusive OR " between the coordinates of a point in space and check the resulting number for simplicity. The result of such a simple algorithm you can see in the picture. More under the cut.

Pattern Generation Algorithm

Algorithm in C ++

long long temp = x ^ y; // x  y   //    temp     . //   --- (BPSW)  n   if(isprime(temp) == true) { //    } else { //    } 

This algorithm gives the following endless patterns:





You can also watch video with patterns:

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Other designs

If you replace the XOR ( exclusive OR ) operation with the OR or AND operation, you can get fractal triangles:







You can also use any other checks instead of checking for a prime number, for example, division without remaining a number by any number. But such options give less varied patterns.

Program and source

To test the pattern generator, I wrote a simple program that can be downloaded along with the source here . To work with images using the library OpenCV.