Скачать или смотреть Solving the Lattice Packing Problem: Spheres' Perfect Fit

Have you ever pondered the reason for the market's orange stacking? Mathematicians have been fascinated by the lattice packing issue for generations, and this movie explores its intriguing realm. We uncover patterns essential for space optimization in industry and nature by positioning spheres in the densest configuration feasible, free of gaps. Discover the face-centered cubic lattice and Kepler's 1611 conjecture, which was eventually validated in 1998 following nearly 400 years of research. Learn how contemporary technology is pushing the envelope into new dimensions and creating intricate packings that are beyond our visual capabilities. How may an orange stack appear in 4D? Come learn with us!