An Elementary Proof of the 3 Dimensional Simplex Mean Width Conjecture

2021/07/14 by Aaron Goldsmith, Goldsmith, Aaron
Computer Science · Mathematics · #52-02 #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Metric Geometry (math.MG) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2107.10656

openalex publication_date 2021/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

After a Hessian computation, we quickly prove the 3D simplex mean width conjecture using classical methods. Then, we generalize some components to d dimensions.

Citations

• Comparing Corresponding Dihedral Angles on Classical Geometric Simplices

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• Mean Width of a Regular Simplex
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