Make it stand

This lecture by the instructor from the Geometric Computing Laboratory at EPFL focuses on determining the stability of digital geometric objects and modifying them to achieve static equilibrium. Starting with abstractions and simplifications in 2D geometry, the lecture covers static equilibria of rigid bodies, Newton's Laws of Motion, and the acceleration of the center of mass. It delves into force and torque balance conditions, continuous reformulation using force density functions, and the equivalence of gravity with point loads. The lecture concludes by discussing when an object stands in stable equilibrium by analyzing the gravitational potential and centroid projection onto the support line.