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, all points that are 1/4 unit away from the point -1+0i on the real axis.

. ':_,. .)\ ,. ._.)_ , -:-" ^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^ _"~- '' View: -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.

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

This work is licensed under a Creative Commons Attribution 2.5 License. Details here s.13