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Holding a regular pyramid by a circle

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Publication:434309
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DOI10.1007/s00022-012-0104-8zbMath1246.52004OpenAlexW2016994407MaRDI QIDQ434309

Hiroshi Maehara

Publication date: 10 July 2012

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-012-0104-8


zbMATH Keywords

circle-freeholding circleregular pyramid


Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Discrete geometry (52C99) Convex sets in (3) dimensions (including convex surfaces) (52A15)


Related Items (1)

Necks of regular polyhedra



Cites Work

  • Tetrahedra passing through a triangular hole, and tetrahedra fixed by a planar frame
  • Classification of the congruent embeddings of a tetrahedron into a triangular prism
  • Simplices passing through a hole
  • Regular simplices passing through holes
  • Regular triangular pyramids held by a circle
  • Large regular simplices contained in a hypercube
  • Circular cylinders through four or five points in space
  • Algebraic methods for computing smallest enclosing and circumscribing cylinders of simplices
  • How to hold a convex body?
  • Smallest enclosing cylinders
  • Radii minimal projections of polytopes and constrained optimization of symmetric polynomials
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