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.
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Makeev, V.V. Geometry of Two- and Three-Dimensional Minkowski Spaces. Journal of Mathematical Sciences 113, 812–815 (2003). https://doi.org/10.1023/A:1021235318533
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DOI: https://doi.org/10.1023/A:1021235318533