Hyperbolic Rotation
Also known as the a Lorentz transformation or Procrustian stretch, a hyperbolic transformation leaves each branch of the hyperbola x^'y^'=xy invariant and transforms circles into ellipses with the same area.
x^' = mu^(-1)x
(1)
y^' = muy.
(2)
See also
Crossed Hyperbolic RotationExplore with Wolfram|Alpha
WolframAlpha
References
Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Math. Assoc. Amer., p. 101, 1967.Referenced on Wolfram|Alpha
Hyperbolic RotationCite this as:
Weisstein, Eric W. "Hyperbolic Rotation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HyperbolicRotation.html