A surprising topological proof - You can always cut three objects in half with a single plane

The video tutorial explores the Borsec Coulomb theorem, demonstrating its application in proving that a single plane can cut multiple objects in half by volume. The explanation begins with a simple case of mapping a circle to a line, ensuring continuity, and extends to higher dimensions. The tutorial uses the theorem to show that for any two objects in a plane, a line exists that cuts them in half by area. This concept is then extended to three dimensions, where a plane can cut three objects in half. The video emphasizes the continuity of mappings and the existence of antipodal points mapping to the same value.

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