Geodesic
On a Conjecture of Melzak
Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 561-563

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Melzak [2] has shown that there exists a convex pseudopolyhedron Q (the convex hull of a convergent sequence of points together with its limit point) in E3 which is s-universal for triangles, that is, all possible triangles occur (up to similarity) as plane sections of Q. He conjectured that no polyhedron P has this property. In this short note we give an elementary proof of this conjecture. 
Shephard, G. C. On a Conjecture of Melzak. Canadian mathematical bulletin, Tome 7 (1964) no. 4, pp. 561-563. doi: 10.4153/CMB-1964-052-5
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     title = {On a {Conjecture} of {Melzak}},
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     year = {1964},
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     doi = {10.4153/CMB-1964-052-5},
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