Home - News ( United States | United Kingdom | Italy | Germany ) - Football scores

Showing content from http://reference.wolfram.com/language/ref/RandomPolygon.html below:

RandomPolygon—Wolfram Language Documentation

We deliver solutions for the AI era—combining symbolic computation, data-driven insights and deep technology expertise.

• Data & Computational Intelligence
• Model-Based Design
• Algorithm Development
• Wolfram|Alpha for Business
• Blockchain Technology
• Education Technology
• Quantum Computation

WolframConsulting.com

• See Also
  • Polygon
  • RandomPolyhedron
  • RandomPoint
  • RandomReal
  • SeedRandom
  • ConvexPolygonQ
  • SimplePolygonQ
• Related Guides
  • Polygons
  • Geometric Computation

RandomPolygon[n]

gives a pseudorandom simple polygon with n vertex points.

RandomPolygon[spec]

gives a pseudorandom polygon with the specified specification spec.

RandomPolygon[dspec,…]

gives a pseudorandom polygon in dimension d.

• RandomPolygon gives a Polygon drawn from a specific distribution.
• RandomPolygon is typically used in testing and verification of time complexity for algorithms.
• Possible specifications spec include:
• RandomPolygon[] gives a pseudorandom simple polygon with the number of vertex points chosen in the range {3,15} with equal probability.
• RandomPolygon[n] is equivalent to RandomPolygon[{"Simple",n}].
• RandomPolygon[{"ConvexHull",n}] gives the convex hull of n random points from the uniform distribution UniformDistribution[2] over the unit square.
• RandomPolygon[spec,{k₁,k₂,…}] gives a k₁×k₂×… array of pseudorandom polygons.
• RandomPolygon gives a different sequence of pseudorandom polygons whenever you run the Wolfram Language. By using SeedRandom, you can get a repeatable sequence.
• RandomPolygon has the same options as Polygon with the following additions: [List of all options]
• With the default setting DataRangeAutomatic, coordinates are chosen in the range 0 to 1.
List of all options

Generate a random polygon:

Generate a list of random convex polygons:

Compute the area:

Generate a list of polygons in dimension 3:

Generate a random polygon with a random number of vertex points:

Generate a random polygon with a given number of vertex points:

Generate a random polygon with a given number of vertex points in :

In :

Generate a list of polygons:

Generate multiple lists of polygons:

Generate a random polygon with a specified property:

Generate a random convex polygon:

Random convex polygon in :

In :

Generate a random convex hull polygon:

Random convex hull polygon in :

In :

Generate a random convex hull polygon from the Dirichlet distribution:

Uniform distribution:

Normal distribution:

Binormal distribution:

Generate a random simple polygon:

Random simple polygon in :

In :

Generate a random star-shaped polygon:

Random star-shaped polygon in :

In :

DataRange allows you to specify the range of vertex points to generate:

Specify a different range:

Generate a random polygon using machine arithmetic:

Using 30 digits of precision:

Generate a random polygon with vertex colors:

Specify vertex colors for 3D random polygons:

Generate a random polygon; compute normal vectors using the cross product of edge vectors:

A triangle with normals:

Using different normals will affect shading:

Texture mapping with 2D random polygons:

Repeat a texture by using non-unified texture coordinate values:

Texture mapping is preceded by VertexColors:

Random polygons with 10 vertex points:

Convex polygons:

Star‐shaped polygons:

Generate random polygons for testing algorithms and verification of time complexity:

Time complexity for algorithms for convex polygons:

Simple polygons:

Simulate random convex polygons and compute areas:

Estimate distribution:

Compare its histogram to the PDF:

Average area of polygons with 10 vertices over a unit square:

As goes to , the limit shape for random convex polygons is :

Polygon classification using machine learning. Train a classifier function on polygon examples:

Use the classifier function to classify new polygons:

A simple polygon:

A star‐shaped polygon:

Random polygon collections:

RetroSearch is an open source project built by @garambo | Open a GitHub Issue

Search and Browse the WWW like it's 1997 | Search results from DuckDuckGo

HTML: 3.2 | Encoding: UTF-8 | Version: 0.7.4