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https://github.com/pthariensflame/cayleymengerdeterminant.jl

Calculate the measures of simplices through the Cayley-Menger determinant.
https://github.com/pthariensflame/cayleymengerdeterminant.jl

geometry julia

Last synced: 27 days ago
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Calculate the measures of simplices through the Cayley-Menger determinant.

Host: GitHub
URL: https://github.com/pthariensflame/cayleymengerdeterminant.jl
Owner: pthariensflame
License: mit
Created: 2022-03-10T03:39:09.000Z (over 2 years ago)
Default Branch: main
Last Pushed: 2023-02-18T15:28:58.000Z (almost 2 years ago)
Last Synced: 2024-10-08T23:02:47.905Z (about 1 month ago)
Topics: geometry, julia
Language: Julia
Homepage:
Size: 33.2 KB
Stars: 4
Watchers: 3
Forks: 2
Open Issues: 2
Metadata Files:
- Readme: README.md
- License: LICENSE

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README

        # CayleyMengerDeterminant

Calculate the Cayley-Menger squared-distance matrix of an `N`-simplex from its points, and use the matrix’s determinant to compute the (interior) measure of the simplex—for example, the area of a triangle, or the volume of a tetrahedron.

This package exports two small utility functions, `binomial2` and `inverse_binomial2`, as well as the full-featured immutable structured matrix type `CayleyMengerDistanceMatrix` and its constructors, and the function `simplex_volume` for calculating the measure directly from the points.