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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