Recovering a Circumscriptible Tetrahedron from Its Face Areas
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It is shown that a circumscriptible tetrahedron is completely determined by its face areas. This contrasts heavily with the fact that a general tetrahedron is not completely determined by its face areas, even if its volume and its circumradius are also given.
KeywordsCircumscriptible tetrahedron face areas
Mathematics Subject ClassificationPrimary 51M04 Secondary 52B10
- 10.Mazur, M.: Solution. ibid 107, 466–467 (2000)Google Scholar