How about a circular shape that has an odd number of spiral shaped lobes around the outside.
No straight line cut can cut it in half because all straight line cuts that give 50% area on each side of the line would slice the spirals into disconnected shapes.
bpx51 [3 hidden]5 mins ago
The math behind why you can always find a perfect 50/50 cut, even for weird shapes.
HN.zip
No straight line cut can cut it in half because all straight line cuts that give 50% area on each side of the line would slice the spirals into disconnected shapes.