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The incenter of a triangle as a cone isoperimetric center

Research paper by Jun O'Hara

Indexed on: 29 Dec '10Published on: 29 Dec '10Published in: Mathematics - Metric Geometry



Abstract

We show that the the image of the regular projection of a vertex of a cone over a triangle that minimizes the ratio of the cube of the area of the boundary of the cone and the square of the volume of the cone coincides with the incenter.