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n-dimensional spheres (Posted on 2014-09-15) Difficulty: 3 of 5

  
An n-dimensional sphere of radius one is intersected with another
n-dimensional sphere of radius one and whose center lies on the
first sphere. The intersection is a (n-1)-dimensional sphere.

The (n-1)-dimensional sphere is intersected with another
n-dimensional sphere of radius one and whose center lies on the
(n-1)-dimensional sphere. The intersection is a (n-2)-dimensional sphere.

This procedure is continued until we have a 1-dimensional sphere.
What is its radius?

This all takes place in an n-dimensional space.
  

See The Solution Submitted by Bractals    
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  Subject Author Date
re: The sequence, if my trig is rightBractals2014-09-15 09:57:27
Some ThoughtsThe sequence, if my trig is rightCharlie2014-09-15 08:26:49
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