# R2.1/2a

Robert P. Munafo, 2003 Sep 22

R2.1/2a is the R2-name for the largest circular mu-atom. A picture and list of major features is given below.

As described in the exact coordinates entry, the boundary of R2.1/2a can be proven to be an exact circle, something that is not true for the other "circular" mu-atoms. The formula giving all points on its boundary is

|P-1| = 1/4

that is, any point whose distance from -1 on the real axis is exactly 1/4.

-1.2067 +0.0001i @ +0.9399R2.1/2 and adjacent filaments | . ':_,. .)\ ,. ._.)_ , -:-" ^e,__c,/(, , '*-e,_ _., ' LFddCc/` ., .ad@@C '(^; - _ .,@^^"@)d\va/L :Caem*@c:m- . "-"$e, '"^^ | '^ '*m*)a- ' ., __-aa*"^ \ | / '^^Cm_ ' -,. '^T\d"v*' \ 3 4 ''@, : d(, , __.%r` 2a ^e ] '*_,. Y,. /@) ',$ . ''\de$vd_.(F ~[ a, v "_::d" ^(` ` ,_-\/.,:.,.a_eev_LemmF^` 1 R2.1/2a -- ' ' a' ` `)""L, ._, , ` ^ :^@Cae__m"`e .[ '7)' $"" -C, :/L -)` " --Fve 2b ./ ] -~` ,dv$%L, / _:F ] _/^^$"L@b__ / .-r@" - __-er^^ __, _._-/%F^ ' '^7@L__.d^*m_vc, vmmrm_$^^"^ ` ' -,^@rFY"`-"`--"emY^ _)*` ^ - .a-v-[^'F-'` .,$F$` '*v- -,_a" '" .@__ -\- v^ _"~- '' -1.2067 +0.0001i @ +0.9399 |

1. Colloquial: topknot, 2-ball off the 2-ball

Technical: mu-atom of period 4

R2-Name: R2.1/2.1/2a

2a. Colloquial: 3-ball off the 2-ball

Technical: tertiary continental mu-atom of period 6

R2-Name: R2.1/2.1/3a

2b. R2-name: R2.1/2.2/3a

3. R2-Name: R2.1/2.1/4a

4. R2-name: R2.1/2.1/5a

Note: This area appeared on the cover of the August 1985
Scientific American.

revisions: 20030922 oldest on record; 20100918 add image

From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2020. Mu-ency index

This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2020 Jan 15. s.11