Talk:Configuration (polytope)
Add topicLatest comment: 1 year ago by Steelpillow in topic Validity?
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Validity?
[edit]The lead states, "In geometry, H. S. M. Coxeter called a regular polytope a special kind of configuration." Is this true? I don't recall him ever saying so for real polytopes. Mainstream geometry requires a configuration to have a richer incidence structure than just two points on a line and two lines in a point in the same plane. For example Lines' Solid Geometry makes this distinction very clear. Sure, Shephard and later Coxeter named their complex configurations as regular complex polytopes. But we already have an article for that. Is this article actually valid as a standalone topic, or should its content be merged into one or more of the linked articles and its page deleted? — Cheers, Steelpillow (Talk) 08:02, 7 April 2025 (UTC)