Geodesic
A isoperimetrix of a polyhedron in a Minkowski geometry
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 3, pp. 274-281 Cet article a éte moissonné depuis la source Math-Net.Ru

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The article is devoted to study of properties of an isoperimetrix in the three-dimensional Minkowski space, in case it his normalising skew field is preassigned by a polyhedron. It is shown, that under such circumstances isoperimetrix is not a polyhedron, and the second isoperimetrix is not homothetic to an initial polyhedron. 
@article{JMAG_2004_11_3_a1,
     author = {R. M. Didkowsky},
     title = {A isoperimetrix of a polyhedron in a {Minkowski} geometry},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {274--281},
     year = {2004},
     volume = {11},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2004_11_3_a1/}
}
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R. M. Didkowsky. A isoperimetrix of a polyhedron in a Minkowski geometry. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2004) no. 3, pp. 274-281. http://geodesic.mathdoc.fr/item/JMAG_2004_11_3_a1/