The largest volume tetrahedron whose points fit on a sphere

Four points A, B, C, D are taken at random on a sphere of radius r (use θ and φ reglers). The volume of the tetrahedron ABCD is greatest in the case of its regularity. Point A moves freely around the sphere. Using geogebra this problem is solved by computing the maxima of functions of 6 variables.

 

Roman Chijner

 
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maxima  sphere  tutorial  volume 
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19+
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English
 
 
 
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