Black hole microstate geometries exist in the same regime of parameters as a large classical black hole, but have no horizon. One can construct incredibly-large families of such geometries, and argue that they have the right properties to describe some of the typical microstates of the black hole. I will review the construction and properties of microstate solutions for supersymmetric, extremal non-supersymmetric and nonextremal black holes, and discuss what they teach us about black hole physics.
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