Classes of homothetic convex sets
DOI:
https://doi.org/10.17398/Keywords:
convex, homothetic, symmetric, section, projection, partition, tilingAbstract
This is a survey of known results and still open problems on characteristic properties of classes of homothetic convex sets in the n-dimensional Euclidean space. These properties are formulated in terms of orthogonal projections, plane sections, homothety classes, Choquet simplices, and homothetic tilings and partitions.
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