Largest Mu-Atoms
Robert P. Munafo, 2010 Sep 8.
The largest Mu-atoms in the Mandelbrot Set are listed here, with ties listed together:
Rank | R2-Name | Period | Diameter | Center (approximate) |
1. | R2a | 1 | 1.30 | -0.25 + 0.00 i |
2. | R2.1/2a | 2 | 0.500 | -1.00 + 0.00 i |
3. | R2.1/3a | 3 | 0.189 | -0.11 + 0.74 i |
R2.2/3a | 3 | 0.189 | -0.11 - 0.74 i | |
5. | R2.1/2.1/2a | 4 | 0.118 | -1.31 + 0.00 i |
6. | R2.1/4a | 4 | 0.0885 | 0.283 + 0.528 i |
R2.3/4a | 4 | 0.0805 | 0.283 + 0.528 i | |
8. | R2.2/5a | 5 | 0.0781 | -0.503 + 0.559 i |
R2.3/5a | 5 | 0.0781 | -0.503 - 0.559 i | |
10. | R2.1/2.1/3a | 6 | 0.0531 | -1.138 + 0.238 i |
R2.1/2.2/3a | 6 | 0.0531 | -1.138 - 0.238 i | |
12. | R2.1/5a | 5 | 0.0477 | 0.380 + 0.334 i |
R2.4/5a | 5 | 0.0477 | 0.380 - 0.334 i | |
14. | R2.1/3.1/2a | 6 | 0.0448 | -0.113 + 0.860 i |
R2.2/3.1/2a | 6 | 0.0448 | -0.113 - 0.860 i | |
16. | R2.3/7a | 7 | 0.0418 | -0.619 + 0.422 i |
R2.4/7a | 7 | 0.0418 | -0.619 - 0.422 i | |
18. | R2.2/7a | 7 | 0.0335 | 0.124 + 0.610 i |
R2.5/7a | 7 | 0.0335 | 0.124 - 0.610 i | |
20. | R2.3/8a | 8 | 0.0306 | -0.356 + 0.616 i |
R2.5/8a | 8 | 0.0306 | -0.356 - 0.616 i | |
22. | R2.1/2.1/4a | 8 | 0.0305 | -1.000 + 0.263 i |
R2.1/2.3/4a | 8 | 0.0305 | -1.000 - 0.263 i | |
24. | R2.1/6a | 6 | 0.0284 | 0.393 + 0.216 i |
R2.5/6a | 6 | 0.0284 | 0.393 - 0.216 i | |
26. | R2.1/2.1/2.1/2a | 8 | 0.0260 | -1.381 + 0.000 i |
27. | R2.4/9a | 9 | 0.0259 | -0.672 + 0.338 i |
R2.5/9a | 9 | 0.0259 | -0.672 - 0.338 i | |
29. | R2F(1/2B1)Sa | 3 | 0.0242 | -1.756 + 0.000 i |
30. | R2.1/3.2/3a | 9 | 0.0210 | -0.210 + 0.803 i |
R2.2/3.1/3a | 9 | 0.0210 | -0.210 - 0.803 i | |
xx. | R2.1/2.2/5a | 10 | 0.0203 | -1.210 + 0.150 i |
R2.1/2.3/5a | 10 | 0.0203 | -1.210 - 0.150 i | |
xx. | R2.1/3.1/3a | 9 | 0.0192 | -0.031 + 0.788 i |
R2.2/3.2/3a | 9 | 0.0192 | -0.031 - 0.788 i | |
xx. | R2.1/7a | 7 | 0.0182 | 0.377 + 0.144 i |
R2.6/7a | 7 | 0.0182 | 0.377 - 0.144 i | |
xx. | R2.1/2.1/3.1/2a | 12 | 0.0121 | -1.150 + 0.269 i |
R2.1/2.2/3.1/2a | 12 | 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, (c) 1987-2024.
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This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2012 Mar 16. s.27