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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2024 Number 3, Pages 120–136 (Mi basm624)

Characteristic properties of centrally symmetric convex sets

Valeriu Soltan

George Mason University, USA

Abstract: This is a survey on characteristic properties of centrally symmetric convex sets in the $n$-dimensional Euclidean space. These properties are formulated in terms of orthogonal projections, plane sections, shadow-boundaries, affine diameters, and tiling polytopes.

Keywords and phrases: convex, symmetric, section, projection, partition, tiling.

MSC: 52A20

Received: 30.10.2024

Language: English

DOI: 10.56415/basm.y2024.i3.p120



© Steklov Math. Inst. of RAS, 2026