Beitr\"age zur Algebra und Geometrie
Contributions to Algebra and Geometry
Volume 35 (1994), No. 1, 125-129.

A Quantitative Steinitz' Theorem

Shmuel Onn, Bernd Sturmfels

Abstract.

Any $3$-dimensional convex polytope with $n$
vertices can be realized in Euclidean $3$-space with all coordinates
of all vertices being integers of absolute value not exceeding
$n^{169 n^3} $.