Shadow-boundaries of convex bodies
From MaRDI portal
Publication:1923492
DOI10.1016/0012-365X(94)00380-2zbMath0863.52003MaRDI QIDQ1923492
Publication date: 10 June 1997
Published in: Discrete Mathematics (Search for Journal in Brave)
Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Other problems of combinatorial convexity (52A37) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Research exposition (monographs, survey articles) pertaining to convex and discrete geometry (52-02)
Related Items
Convex solids whose point-source shadow-boundaries lie in hyperplanes ⋮ Antipodality properties of finite sets in Euclidean space ⋮ Semi-indefinite inner product and generalized Minkowski spaces ⋮ On the orthogonal projections of Dirichlet-Voronoi cells of lattices ⋮ Visibility and diameter maximization of convex bodies ⋮ Covering by homothets and illuminating convex bodies
Cites Work
- Überdeckung eines Eibereiches durch Parallelverschiebung seines offenen Kerns
- Some characterizations of convex polyhedra
- On the shadow lines of a convex surface
- Zur besten Beleuchtung konvexer Polyeder
- Exterior algebra and projection of polytopes
- Mittlere Schattengrenzenlänge konvexer Körper
- Über scharfe Schattengrenzen und Schnitte konvexer Polytope. (Sharp shadow boundaries and sections of convex polytopes)
- Can you cover your shadows?
- A lower bound on the number of sharp shadow-boundaries of convex polytopes
- The largest projections of regular polytopes
- Kennzeichnung der geodätischen Abstandssphären in \(H^{n+1}\) durch ihr Schattengrenzen-Verhalten bei paralleler und punktförmiger Beleuchtung
- A recursive sweep-plane algorithm, determining all cells of a finite division of \(R^ m\).
- Unsolved problems in geometry
- The Borsuk conjecture holds for convex bodies with a belt of regular points
- Über kennzeichnende Eigenschaften von Ellipsoiden und euklidischen Räumen. III
- \(K\)-dimensional directions singular for a convex body \(F\) in \(R^n\)
- Flache Einbettungen geschlossener Mannigfaltigkeiten der Kodimension 1 in Randkomplexe konvexer Polytope
- External visibility
- Sphären mit wenigen Ecken
- Stellare Abänderungen und Schälbarkeit von Komplexen und Polytopen
- Intersecting all edges of convex polytopes by planes
- Curvature measures of convex bodies
- Schnitt- und Überdeckungszahlen kombinatorischer Sphären
- Lower bounds for the numbers of antipodal pairs and strictly antipodal pairs of vertices in a convex polytope
- On the number of antipodal or strictly antipodal pairs of points in finite subsets of \(\mathbb{R}^ d\). II
- Cu t numbers of convex polytopes
- Zur affinen Differentialgeometrie im Großen. I
- Über zwei Probleme bezüglich konvexer Körper von P. Erdős und von V.L. Klee
- Strictly antipodal sets
- Projections of 3-polytopes
- Hyperplane cuts of an n-cube
- Intersecting all edges of centrally symmetric polyhedra by planes
- Convex bodies and convexity on Grassmann cones. I-IV
- On a conjecture of Lindenstrauss
- Über die Schattengrenzen konvexer Körper. (Konvexe Körper und Konvexität auf Grassmann-Kegeln. VII.)
- On two conjectures of Franz Hering about convex surfaces
- Orthogonality in linear metric spaces
- Shadow‐boundaries and cuts of convex polytopes
- Einige Anwendungen der projektiven Geometrie auf Fragen der Flächentheorie
- Un théorème sur les corps convexes
- Constructing Arrangements of Lines and Hyperplanes with Applications
- Too Long Shadow Boundaries
- Computing the width of a set
- Illuminating sets of constant width
- On theC-Curves of a Convex Surface
- Shadow boundaries of typical convex bodies. measure properties
- Irreducible convex sets
- A Characterization of Hilbert Space
- Kinematic measures for sets of colliding convex Bodies
- Surfaces with congruent shadow‐lines
- The Extreme Projections of the Regular Simplex
- Solution of Hadwiger's Covering Problem for Centrally Symmetric Convex Bodies in E 3
- Über eine Integralgleichung in der Theorie der konvexen Körper
- Twenty Problems on Convex Polyhedra Part II
- The directions of the line segments and of the r ‐dimensional balls on the boundary of a convex body in Euclidean space
- Paths in the one‐skeleton of a convex body
- Increasing Paths on the One-Skeleton of a Convex Body and the Directions of Line Segments on the Boundary of a Convex Body
- On a Conjecture of Klee and Martin for Convex Bodies
- Sections and projections of convex polytopes
- Convex Bodies and Convexity on Grassmann Cones (VI) the Projection Functions of a Simplex
- Kennzeichnung der Sphären im \(E^{n+1}\) durch ihre Schattengrenzen
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
