Triaugmented triangular prism: Difference between revisions

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{{Short description|Convex polyhedron with 14 triangle faces}}
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{{Infobox polyhedron
|image=Triaugmented triangular prism (symmetric view).svg
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In the [[Thomson problem]], concerning the minimum-energy configuration of <math>n</math> charged particles on a sphere, and for the [[Tammes problem]] of constructing a [[spherical code]] maximizing the smallest distance among the points, the minimum solution known for <math>n=9</math> places the points at the vertices of a triaugmented triangular prism with non-equilateral faces, [[Circumscribed sphere|inscribed in a sphere]]. This configuration is proven optimal for the Tammes problem, but a rigorous solution to this instance of the Thomson problem is not known.{{r|whyte}}
 
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==See also==
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*{{Annotated link|Császár polyhedron}}
*{{Annotated link|Steffen's polyhedron}}
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==References==
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| doi = 10.2140/involve.2009.2.249
| issue = 3
| journal = Involve,: A Journal of Mathematics
| pages = 249–265
| publisher = Mathematical Sciences Publishers
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{{Johnson solids navigator}}
 
[[Category:Johnson solids]]
[[Category:Deltahedra]]
 
{{Johnson solids navigator}}