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
.
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© 1996-2008 Robert P. Munafo.s.13