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Computational exploration of Barycentric coordinate system

I manually created my own version of the Wikipedia math article for barycentric coordinates, which are related to triangle geometry including trilinear coordinates.
I made some edits with distance functions in barycentric coordinates and added geometric scenes. I wonder if there are higher dimensional versions of the centroid, orthocenter, Gergonne point, circumcenter, etc. I typed out the Wikipedia article for the Euler line and adding it as an attachment to this post. I have almost finished typing out the article for triangle center.

POSTED BY: Peter Burbery
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POSTED BY: EDITORIAL BOARD

Yes I used this. I like the barycentric coordinates Manipulate in the documentation.

POSTED BY: Peter Burbery

Great summary. Thanks for creating and sharing. Did you also see my WFR function: https://resources.wolframcloud.com/FunctionRepository/resources/BarycentricCoordinates/ which implements the conversion?

POSTED BY: Sander Huisman
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