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Equilibrium states of black holes can be modelled by isolated horizons. Ifthe intrinsic geometry is spherical, they are called type I while if it isaxi-symmetric, they are called type II. The detailed theory of geometry of\emph{quantum} type I horizons and the calculation of their entropy can begeneralized to type II, thereby including arbitrary distortions and rotations.The leading term in entropy of large horizons is again given by 1/4th of thehorizon area for the \emph{same} value of the Barbero-Immirzi parameter as inthe type I case. Ideas and constructions underlying this extension aresummarized.Comment: 9 page

Quantum horizons and black-hole entropy: inclusion of distortion and rotation