Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

The maximum area polygon with given side lengths is convex and inscribed in a circle. Is the analogous statement for polyhedra true?

share|improve this question
3  
What is the analogous statement for polyhedra? –  Rahul Nov 16 '12 at 8:27
1  
"The maximum-area polyhedron with given number of faces is convex and inscribed in a sphere"? I guess the issue is "given number of faces" vs. "given set of face-polygons"; also it is unclear whether the 2D case refers to some given number of equal-length sides or some arbitrary collection of side-lengths (but in the latter case it would be false, as (1,2,4) is not a polygon at all, let alone a convex one inscribed in a circle). –  Dan Brumleve Nov 16 '12 at 8:39
    
Do you have a proof of your first statement? –  Paul Salomon Nov 5 '13 at 14:30
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.