2 interpreted question in two (both interesting) ways

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Do there exist five points in the euclidean space R^3? ${\mathbb R}^3$ such that : Every every four of these points are in a sphere spherical ball of radius 1. The , but that the five punts 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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# 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.