A lot of books stated that is true, however, no proof is given. I was wondering if anyone could help me and show me a proof?
Statement: For the n-th dimension, where n is ≥5, there exists only 3 regular convex polytopes
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If not meanwhile found already yourself, you'd find a proof within "Regular Polytopes" by Coxeter. – Dr. Richard Klitzing Dec 27 '23 at 18:47