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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
by Lerc 1mo ago
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 1mo agoGood point, but "cutting in half" here refers to total area, not keeping each half as a single connected piece. Slicing through spirals will definetely cut one side into multiple disconnected fragments, but as the straight line sweeps across the shape, the sum of the areas on the left side still grows continuously from 0% to 100%, so it is guaranteed to cross the exact 50% mark at some point.