Geodesics on SurfacesExplores geodesics on surfaces, focusing on minimizing distances and properties of paths, with examples like great circles on spheres.
Jordan Curve TheoremCovers the proof of the Jordan Curve Theorem and the properties of embedded spheres.
The Jordan Curve TheoremExplores the Jordan Curve Theorem, illustrating the division of a plane by a simple closed curve into two regions.
Gaussian Curvature and GeodesicsExplores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.
Homotopy Extension PropertyDemonstrates how to obtain homotopy equivalences between different spaces using the homotopy extension property.
Solar Radiation on MarsExplains the calculation of solar power reaching Mars and the importance of considering the correct surface area for evaluation.
