Is there a Möbius transformation which maps the sides of the triangle with vertices at $−1$, $i$ and $1$ to the sides of an equilateral triangle (all sides equal)?
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2026-03-26 09:45:08.1774518308
Möbius transformations - triangles
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Mobius transformations (like any other holomorphic transformation) conserve angles, so that's not possible.
However, there are some that map the vertices $1,i,-i$ to the vertices of an equilateral triangle (and the sides of the original triangle to some arcs)