Geodesic
On families of hyperplanes that separate polyhedra
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 2, pp. 238-253

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The problem of constructing a family of hyperplanes that separate two disjoint nonempty polyhedra is examined. the polyhedra are given by systems of linear inequalities or by systems of linear equalities with nonnegative variables. constructive algorithms for solving this problem are presented. the construction of separating hyperplanes relies heavily on theorems of the alternative. 
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     title = {On families of hyperplanes that separate polyhedra},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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A. I. Golikov; Yu. G. Evtushenko; S. Ketabchi. On families of hyperplanes that separate polyhedra. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 2, pp. 238-253. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a6/