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Cardioid Cusp    

Robert P. Munafo, 2023 Apr 19.

The cusp of any cardioid mu-atom. The R2 name of a cardioid cusp always ends in .C(0).

Colloquially a cardioid cusp is called elephant valley (in the case of the main cusp of the entire Mandelbrot set, see R2.C(0)) or more generally "an" elephant valley. In the latter case there is an inward path along a tendril from the cusp back to the continent, and there are two main types of embedded Julia sets found: cauliflower medallions on the tendril and its immediate branches, and elephant medallions to either side.

revisions: 20020422 oldest on record; 20230417 link to elephant valley and two types of "medallions"; 20230419 inward tendril is locus of cauliflowers

From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2024.

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