I wondered, how small of an area can cause a non-circle infinite loop to form. Heres my best attempt! RULES: - If it goes in a circle, it fails (breaking out of a circle means it wasn't a circle) - If it hits the edge, it fails -NOTE- All circles are assumed to be unit size, For the sake of math, my assumption is that circles are of UNIFORM size, and for the sake of simplicity, they are of unit size - that is being defined with the equation (x^2)+(y^2)=1
Basic explanation: Essentially, if touching white, the dot turns clockwise, and if touching black, it turns counter-clockwise. The challenge I am proposing is to find the smallest area of black, formed with same sized circles, that will form a complex loop. (No circles or other shapes that for the majority of their cycle will maintain circular symmetry) Area aprox: 0.31286 units assuming a unit circle
