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Everything about Simple polytope
N-dimensional polytope with vertices adjacent to N facets
In geometry, a d-dimensional simple polytope is a d-dimensional polytope each of whose vertices are adjacent to exactly d edges (also d facets). The vertex figure of a simple d-polytope is a (d – 1)-simplex. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Simple polytopeA 5-minute orientation
- Skim a recent paper: The Convex Hull of Random Points on the Boundary of a Simple PolytopeInfluential work since 2022
- Pick up a classic book: Polytopes and Discrete GeometryThe most-reprinted book on the subject
- Read the landmark paper: Some facets of the simple plant location polytopeCited 62 times
- Go sideways: List of polygons, polyhedra and polytopesA closely related topic
- Go sideways: List of mathematical shapesA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Some facets of the simple plant location polytope
The minimum number of vertices of a simple polytope
A simple way to tell a simple polytope from its graph
Completely unimodal numberings of a simple polytope
On the facets of the simple plant location packing polytope
Three-Dimensional Manifolds Defined by Coloring a Simple Polytope
Euler-Maclaurin with remainder for a simple integral polytope
Facet-defining inequalities for the simple graph partitioning polytope
🆕 Influential since 2022
📚 Books worth reading
- 📕Polytopes and Discrete GeometryGabriel Cunningham, Mark Mixer · 2021
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Polyhedral combinatorics Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the…
- Alternation (geometry) In geometry, an alternation or partial truncation is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate…
- Regular polytope In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry. In…
- Kleetope In geometry and polyhedral combinatorics, the Kleetope of a polyhedron or higher-dimensional convex polytope P is another polyhedron or polytope PK formed…
- Zonohedron In geometry, a zonohedron is a convex polyhedron that is centrally symmetric, every face of which is a polygon that is centrally symmetric (a zonogon)…
- Face (geometry) In solid geometry, a face is a flat surface (a planar region) that forms part of the boundary of a solid object. For example, a cube has six faces in this…