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Aug
4
awarded  Commentator
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awarded  Teacher
Jun
13
comment Minimum sphere containing a tetrahedron
That is a really good article, thanks a lot. One thing that I observe in 2D is that if the diameter of CC is bigger than the largest edge, the center of CC is always outside the triangle. So if this hold for 3D may be I can use it to further constrain such tetrahedra
Jun
13
accepted Minimum sphere containing a tetrahedron
Jun
13
comment Minimum sphere containing a tetrahedron
Thank you very much for your answer. Do you think I can infer something about the center of this minimal sphere based on the centers of the insphere and circumsphere centers which I already know?
Jun
12
revised Minimum sphere containing a tetrahedron
deleted 109 characters in body
Jun
12
revised Minimum sphere containing a tetrahedron
added 62 characters in body
Jun
12
comment Minimum sphere containing a tetrahedron
@RahulNarain My problem is a bit specific because I have the radii already computed and I want to constrain my upper bound without extra calculations. For instance if I put a sphere with a radius of the largest edge in the center of the insphere I am done. Yet I have a feeling that I might use the circumsphere radius to constrain better.
Jun
12
comment Minimum sphere containing a tetrahedron
@RahulNarain ok ok you are right, I am impatiently brute forcing. Sorry about that.
Jun
12
awarded  Editor
Jun
12
revised Minimum sphere containing a tetrahedron
added a link for the triangle case
Jun
12
comment Minimum sphere containing a tetrahedron
Then it should be the barycenter of the vertices?
Jun
12
comment Minimum sphere containing a tetrahedron
No it's not, all the edges would be equal if it were.
Jun
12
awarded  Student
Jun
12
asked Minimum sphere containing a tetrahedron
Apr
24
awarded  Supporter
Apr
24
awarded  Scholar
Apr
24
accepted Degrees of freedom in a Multivariate t Distribution?
Apr
20
asked Degrees of freedom in a Multivariate t Distribution?