Recent content by avarga

I found an approximation of the optimized path when the land value increases linearly as you go east. Finding an exact function won't be so easy.

In the story, the land gets more valuable as he gets further from his starting point. So let's assume he knows his speed, can travel it consistently, and travels 1 unit in a day. Now if the value of the land is given by v(x,y) = 1, we agree a circle is the best path. But what if v(x,y) = y...