Answer by joriki for Parameterization of the set of oriented rectangles
I believe this yields an embedding of the $3$-dimensional manifold of rectangles in $\mathbb R^5$ that fulfils your criteria:Denote the polar coordinates of two midpoints by $(a,\phi)$ and $(b,\psi)$,...
View ArticleParameterization of the set of oriented rectangles
I am interested in the set of oriented rectangles, that are centered on the origin, and can be described by their width, height and angle.I am looking for a "good" parameterization that is...
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