Large simplices determined by finite point sets
نویسندگان
چکیده
منابع مشابه
Large simplices determined by finite point sets
Given a set P of n points in R, let d1 > d2 > . . . denote all distinct inter-point distances generated by point pairs in P . It was shown by Schur, Martini, Perles, and Kupitz that there is at most one d-dimensional regular simplex of edge length d1 whose every vertex belongs to P . We extend this result by showing that for any k the number of d-dimensional regular simplices of edge length dk ...
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ژورنال
عنوان ژورنال: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
سال: 2012
ISSN: 0138-4821,2191-0383
DOI: 10.1007/s13366-012-0126-2