## Archive of posts on Jan 25, 2020

### Hyperellipsoids in barycentric coordinates

In this article, I introduce the barycentric coordinates: it is an elegant way to represent geometric shapes related to a simplex. By using it, given a simplex, we can construct a hyperellipsoid with the properties: its surface passes every vertex of the simplex, and its tangent hyperplane at each vertex is parallel to the hyperplane containing all other vertices.

- Categories: math
- Tags: linear algebra, long paper