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The complexity of cells in three-dimensional arrangements

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Publication:1078804
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DOI10.1016/0012-365X(86)90008-7zbMath0596.51011MaRDI QIDQ1078804

B. George

Publication date: 1986

Published in: Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

three-dimensional arrangements


Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20)


Related Items (4)

On a Question of Bourgain about Geometric Incidences ⋮ Cells with many facets in arrangements of hyperplanes ⋮ Counting facets and incidences ⋮ The complexity of many cells in arrangements of planes and related problems



Cites Work

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  • On the maximal number of edges of many faces in an arrangement
  • Stabbing line segments
  • Orientability of matroids
  • A theorem on arrangements of lines in the plane
  • Constructing Arrangements of Lines and Hyperplanes with Applications
  • Simple Partitions of Space
  • The Convex Cells Formed by Seven Planes
  • Partition of Space


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