No you guys, most shapes do not have a center of mass with this property (but some do)

The video explores the misconception that any plane through the center of mass of a 3D object cuts it in half. While this is true for objects with obvious symmetry like circles and squares, it does not hold for equilateral triangles or tetrahedrons. The video provides a mathematical analysis and proof using an equilateral triangle to demonstrate that no such point exists where any line through it will bisect the triangle. The conclusion extends this finding to other shapes, emphasizing that not all objects have a magical point for bisecting planes.

What new insight or understanding did you gain from this video?