Wikipedia:Featured picture candidates/Shapley–Folkman lemma

Shapley–Folkman lemma

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Original – The Shapley–Folkman lemma is illustrated by the Minkowski addition of four sets. The point (+) in the convex hull of the Minkowski sum of the four non-convex sets (right) is the sum of four points (+) from the (left-hand) sets—two points in two non-convex sets plus two points in the convex hulls of two sets. The convex hulls are shaded pink. The original sets each have exactly two points (shown as red dots).

Reason

This is the best illustration of the Shapley–Folkman lemma in human history. Shapley's 2012 receipt of the Nobel Prize in Economics (to be awarded in December) makes this topical.

Articles in which this image appears

Shapley–Folkman lemma, Minkowski addition

FP category for this image

Mathematics

Creator

David Eppstein

• Support as nominator --Kiefer.Wolfowitz 10:32, 3 November 2012 (UTC)
• Support, educational and encyclopedic. Also, SCIENCE! — Cirt (talk) 17:17, 3 November 2012 (UTC)
• Oppose. Comment [I understand now that I cannot vote unless logged on with an account]. Incomprehensible, even after reading the opening of the article. I'm not saying it would not make sense with further study, but to be a featured picture, it needs to be more accessible than this. 81.159.107.19 (talk) 01:19, 5 November 2012 (UTC)