An Euler-type volume identity

DOI10.1017/S0004972700033190zbMath0948.52004MaRDI QIDQ4260291

Kathy Hann, Kevin Callahan

Publication date: 12 November 2000

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

congruencewedgesdissection relating equal sub-polytopesEuler-type volume identitysubtraction relation

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Three-dimensional polytopes (52B10) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (3) dimensions (including convex surfaces) (52A15) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Cites Work

• The average number of normals through a point in a convex body and a related Euler-type identity
• On the mean number of normals through a point in the interior of a convex body
• What's the Bound on the Average Number of Normals?

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