for the unraveled room: sqrt(1+x^2) + sqrt((6-x)^2+y^2)+sqrt(12^2+z^2)+ sqrt((30-z-y)^2+u^2)+sqrt((6-u)^2+1) 40 at {x -> 0.75, y -> 7, z -> 16, u -> 5.2

for the unraveled room: sqrt(1+x^2) + sqrt((6-x)^2+y^2)+sqrt(12^2+z^2)+ sqrt((30-z-y)^2+u^2)+sqrt((6-u)^2+1) 40 at {x -> 0.75, y -> 7, z -> 16, u -> 5.25} http://www.wolframalpha.com/input/?i=minimize%5B%7Bsqrt%281%2Bx%5E2%29+%2B+sqrt%28%286-x%29%5E2%2By%5E2%29%2Bsqrt%2812%5E2%2Bz%5E2%29%2Bsqrt%28%2830-z-y%29%5E2%2Bu%5E2%29%2Bsqrt%28%286-u%29%5E2%2B1%29%2Cz%3E%3D0%2Cy%2Bz%3C%3D30%2C0%3C%3Dx%3C%3D6%2C0%3C%3Dy%3C%3D30%2Cu%3E%3D0%2Cu%3C%3D6%7D%2C%7Bx%2Cy%2Cz%2Cu%7D%5D http://www.wolframalpha.com/input/?i=minimize%5B%7Bsqrt%281%... your equation: http://www.wolframalpha.com/input/?i=minimize+2%28sqrt%281%2Bx%5E2%29+%2B+sqrt%28%286-x%29%5E2+%2B+y%5E2%29+%2B+sqrt%28%2815-y%29%5E2+%2B+36%29%29 http://www.wolframalpha.com/input/?i=minimize+2%28sqrt%281%2...