Largest Mu-Atoms

Robert P. Munafo, 2008 Jan 27.

The largest mu-atoms in the Mandelbrot Set are listed here, with ties listed together:

Rank	R2-Name	Diameter	Center (aproximate)
1.	R2a	1.30	-0.250 + 0.000 i
2.	R2.1/2a	0.500	-1.000 + 0.000 i
3.	R2.1/3a	0.189	-0.113 + 0.744 i
	R2.2/3a	0.189	-0.113 - 0.744 i
5.	R2.1/2.1/2a	0.118	-1.309 + 0.000 i
6.	R2.1/4a	0.0885	0.283 + 0.528 i
	R2.3/4a	0.0805	0.283 + 0.528 i
8.	R2.2/5a	0.0781	-0.503 + 0.559 i
	R2.3/5a	0.0781	-0.503 - 0.559 i
10.	R2.1/2.1/3a	0.0531	-1.138 + 0.238 i
	R2.1/2.2/3a	0.0531	-1.138 - 0.238 i
12.	R2.1/5a	0.0477	0.380 + 0.334 i
	R2.4/5a	0.0477	0.380 - 0.334 i
14.	R2.1/3.1/2a	0.0448	-0.113 + 0.860 i
	R2.2/3.1/2a	0.0448	-0.113 - 0.860 i
16.	R2.3/7a	0.0418	-0.619 + 0.422 i
	R2.4/7a	0.0418	-0.619 - 0.422 i
18.	R2.2/7a	0.0335	0.124 + 0.610 i
	R2.5/7a	0.0335	0.124 - 0.610 i
20.	R2.3/8a	0.0306	-0.356 + 0.616 i
	R2.5/8a	0.0306	-0.356 - 0.616 i
22.	R2.1/2.1/4a	0.0305	-1.000 + 0.263 i
	R2.1/2.3/4a	0.0305	-1.000 - 0.263 i
24.	R2.1/6a	0.0284	0.393 + 0.216 i
	R2.5/6a	0.0284	0.393 - 0.216 i
26.	R2.1/2.1/2.1/2a	0.0260	-1.381 + 0.000 i
27.	R2.4/9a	0.0259	-0.672 + 0.338 i
	R2.5/9a	0.0259	-0.672 - 0.338 i
29.	R2F(1/2B1)Sa	0.0242	-1.756 + 0.000 i
30.	R2.1/3.2/3a	0.0210	-0.210 + 0.803 i
	R2.2/3.1/3a	0.0210	-0.210 - 0.803 i
xx.	R2.1/2.2/5a	0.0203	-1.210 + 0.150 i
	R2.1/2.3/5a	0.0203	-1.210 - 0.150 i
xx.	R2.1/3.1/3a	0.0192	-0.031 + 0.788 i
	R2.2/3.2/3a	0.0192	-0.031 - 0.788 i
xx.	R2.1/7a	0.0182	0.377 + 0.144 i
	R2.6/7a	0.0182	0.377 - 0.144 i
xx.	R2.1/2.1/3.1/2a	0.0121	-1.150 + 0.269 i
	R2.1/2.2/3.1/2a	0.0121	-1.150 - 0.269 i

Given two neighbors R2.N/Ma and R2.P/Qa, the size of their mutual inner neighbor R2.(N+P)/(M+Q)a is about midway between the sizes of R2.N/M.1/2a and R2.P/Q.1/2a .

From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo. Mu-ency index

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