2 papers
math.MG2021
A Proof of the Simplex Mean Width Conjecture
Aaron Goldsmith
The mean width of a convex body is the average distance between parallel supporting hyperplanes when the normal direction is chosen uniformly over the sphere. The Simplex Mean Widt…
math.MG2021
An Elementary Proof of the 3 Dimensional Simplex Mean Width Conjecture
Aaron Goldsmith
After a Hessian computation, we quickly prove the 3D simplex mean width conjecture using classical methods. Then, we generalize some components to dimensions.