Nota: A tradução desta entrada está atualmente em revisão de qualidade, portanto parte do conteúdo é exibida temporariamente apenas em inglês.
Este verbete ainda não foi traduzido para o seu idioma, portanto o original é exibido abaixo.
polytope
This term is primarily used in the specialized fields of geometry, linear programming, and computer science. It serves as a unifying generalization, allowing mathematicians to discuss shapes across varying dimensions without needing separate terms for every single dimensional increase.
Because it describes a mathematical abstraction, the word is strictly technical and lacks a casual or metaphorical equivalent in everyday speech. It is almost always used in a formal, academic, or scientific register.
Meanings
Examples
A polygon is simply a two dimensional polytope.
A polygon is simply a two dimensional polytope.
The feasible region of a linear programming problem is always a convex polytope.
I wonder if this higher dimensional polytope can be projected onto a plane.
Can you explain the difference between a polyhedron and a general polytope?
Can you explain the difference between a polyhedron and a general polytope?
The tesseract is a four dimensional regular polytope.
The tesseract is a four dimensional regular polytope.
We need to define the vertices of the polytope to find the optimal solution.
The study of the polytope properties reveals interesting symmetries.
The study of the polytope properties reveals interesting symmetries.
This complex shape is actually a projection of a six dimensional polytope.
This complex shape is actually a projection of a six dimensional polytope.