Mu Atom Sizes  

Robert P. Munafo, 2003 Sep 27.

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As described in the entry on secondary continental mu-atoms, there is a relation between sizes of mu-atoms and their period. This relation applies to all secondary mu-atoms (those directly attached to a cardioid) and can be generalized to:

radius ~= P sin(pi N / M) / M²       for children of cardioids

where N/M is the internal angle of the child and P is the size of the parent, measured (roughly) from its cusp to the bond point with its .1/2 child.

For tertiary and all higher-order mu-atoms (that is, any mu-atoms whose parent is "circular") the formula is simpler:

radius ~= P / M²

where P is the radius of the parent.

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From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2012.     Mu-ency index

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