I want to that any tetrahedron in $\Bbb{H}^3$ can be transformed into a tetrahedron that has $0, 1, \infty, z$ as vertices. Also I need to show that the above defined tetrahedron has maximum volume if $z=e^{\frac{2\pi i}{6}}$ and I need to find the maximum volume. Please provide some reference or give me some hints. I have a very limited exposure to hyperbolic geometry.
2026-03-26 10:39:52.1774521592
Ideal tetrahedron maximum volume
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