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interpreted question in two (both interesting) ways
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Kevin O'Bryant
Kevin O'Bryant
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ThereDo there exist five points in the euclidean space R^3?${\mathbb R}^3$ such that: Everyevery four of these points are in a spherespherical ball of radius 1. The, but that the five puntspoints are not in a ball of radius 1?

Do there exist five points in the euclidean space ${\mathbb R}^3$ such that every four of these points are on a sphere of radius 1., but that the five points are not on a sphere radius 1?

There exist five points in the euclidean space R^3? such that: Every four of these points are in a sphere of radius 1. The five punts are not in a sphere of radius 1.

Do there exist five points in the euclidean space ${\mathbb R}^3$ such that every four of these points are in a spherical ball of radius 1, but that the five points are not in a ball of radius 1?

Do there exist five points in the euclidean space ${\mathbb R}^3$ such that every four of these points are on a sphere of radius 1, but that the five points are not on a sphere radius 1?

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José Araujo
José Araujo
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Five points in spheres

There exist five points in the euclidean space R^3? such that: Every four of these points are in a sphere of radius 1. The five punts are not in a sphere of radius 1.