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  "body": "\n## Summary\n\nA quasicircle is the image of a circle under a [[quasiconformal mapping|SB8KG46NHP]] of the plane.\nQuasicircles are Jordan curves, but they can be very rough, such as the Koch snowflake.\nAhlfors characterized them geometrically: a Jordan curve is a quasicircle exactly when it has no narrow necks or cusps, in a precise metric sense.\nThey appear as limit sets of quasi-Fuchsian groups and as Julia sets of some polynomials.\n\n## Explanations\n\n### L1 human\n\nTake a round circle and deform the whole plane by a map that never squashes tiny circles too much.\nThe image of the circle is a quasicircle.\nSuch a curve may wiggle a lot at every scale, but it never comes back close to itself after a long detour.\nFor example, the boundary of a square is a quasicircle, while a curve with a sharp inward cusp is not.\n",
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