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What is a convex polygon?
What is convex geometry?
Is a polygon a convex or concave?
Is a convex polyhedron a Platonic solid?
5 days ago · A convex polyhedron is a Platonic solid if and only if all three of the following requirements are met. All of its faces are congruent convex regular polygons. None of its faces intersect except at their edges. The same number of faces meet at each of its vertices.
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- Convex Polytope
A 3-dimensional convex polytope. A convex polytope is a...
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May 7, 2024 · 1. Regular Polygon. A regular (or simple) polygon is a shape with equal angles and multiple sides with equal lengths. Regular polygons can also be categorized as convex polygons because the equal sides canter inward where they connect, creating several v-shaped vertices. 2. Irregular Polygon.
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May 20, 2024 · Specifically, a k-simplex is a k-dimensional polytope that is the convex hull of its k + 1 vertices. More formally, suppose the k + 1 points , …, are affinely independent, which means that the k vectors , …, are linearly independent. Then, the simplex determined by them is the set of points
3 days ago · Convex geometry investigates convex shapes in the Euclidean space and its more abstract analogues, often using techniques of real analysis and discrete mathematics. It has close connections to convex analysis , optimization and functional analysis and important applications in number theory .
May 7, 2024 · If none of the sides, when extended, intersects the polygon, it is a convex polygon. Otherwise, it is concave. A polygon with all sides equal is equilateral; an example is a rhombus, which is an equilateral quadrilateral. A polygon with all interior angles equal is equiangular; an example is a rectangle, which is an equiangular quadrilateral.
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May 24, 2024 · TOPICS. Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld
