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Geometry of Two- and Three-Dimensional Minkowski Spaces
Authors:V. V. Makeev
Affiliation:(1) St.Petersburg State University, Russia
Abstract:A class of centrally-symmetric convex 12-topes (12-hedrons) in 
$$mathbb{R}^3 $$
is described such that for an arbitrary prescribed norm 
$$left| {{text{ }} cdot {text{ }}} right|$$
on 
$$mathbb{R}^3 $$
each polyhedron in the class can be inscribed in (circumscribed about) the 
$$left| {{text{ }} cdot {text{ }}} right|$$
-ball via an affine transformation, and this can be done with large degree of freedom. Bibliography: 5 titles.
Keywords:
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