Simplexes in spaces of constant curvatur
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B. V. Dekster; J. B. Wilker
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Article
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1991
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Springer
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English
β 543 KB
In hyperbolic, Euclidean and spherical n-space, we determine, for each positive number l, the largest interval of the form ),.(/) ~< l u ~< l which guarantees the existence of an nsimplex Pl P2 "'" P,+t with edge-lengths pipj=lu. (In spherical geometry of curvature 1 the interval is empty unless 1 ~