This paper reviews which volume functions determine a convex body, lists open minimum-volume problems in three dimensions, and announces without proof an equivalence between two conjectures for a future paper.
Annalen 76/4, (1915) 504–513
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On convex bodies that are characterizable by volume function
This paper reviews which volume functions determine a convex body, lists open minimum-volume problems in three dimensions, and announces without proof an equivalence between two conjectures for a future paper.