R2F(1/2(1/3B1)B)
Robert P. Munafo, 2023 Apr 17.
R2F(1/2(1/3B1)B) is the R2-name for the mu-unit R2.1/2.1/3 and all attached filaments. The largest branch (consisting of R2.1/2F(1/3B1) together with R2F(1/2(1/3B1)B1)) is sometimes called the lightning branch.
b).jpg "-1.2096 + 0.3256i 0.28") -1.2096 + 0.3256i @ 0.28 |
\,,
./, _ .
~'`\,_v~
T^'
--/C\-
^(`'
,,_a.-r`
'' :%m-- ,(,
..b., . _, T"
-~ '^`\,""v.d;:- ,:]_- ,
` ^ *Y$mL_%dF"` .r*
-v,"'.F"(Lca' _/m._ :_
_a]@F*YCe.Ym--_ TC_a,
-,./^^@b-'^^"^@)d; . _@@@
.., ._$@a@F '*b`_^mmed^'
'*(-^^^'$m, ]"a("*-^'
._/YYm_, '"^
. ^`(Ca-^
'-aa. ._ , '\__m,\@("` R2.1/2a
,Y(___:,,'b).. -YF^F^
-1.2202 + 0.3427i @ 0.3373, Nmax: 32768
R2F(1/2(1/3B)B) |
R2F(1/2(1/3B1)B) is the largest filament that exhibits two different orders of rotational symmetry: 2-fold and 3-fold. The 3-fold symmetry results from 1/3, the internal angle of R2.1/2.1/3a; while the 2-fold symmetry comes from the internal angle of R2.1/2a.
This filament contains the 8th and 9th largest islands, which respectively are R2F(1/2(1/3B1)B1)S (the one near the end of the filament) and R2.1/2F(1/3B1)S. Each is the northern member of a pair with a conjugate twin, the twins are R2F(1/2(2/3B1)B1)S and R2.1/2F(2/3B1)S respectively.
Because of their closeness in size, and because they are spaced in roughly symmetrical positions 1/4 and 3/4 of the way out on the filament, R2F(1/2(1/3B1)B) has a particularly asthetic appearance. (See also R2.2/5a).
b1)s.jpg "-1.255490 + 0.381652i 0.009") -1.255490 + 0.381652i @ 0.009 period: 5 |
''--~"_, :_" v-^^'" '
'``'m, :_,.c ^)_
-~e,_, / ^/`. -c_"^ ,
:_ '*m^ ,_, '*\_m"^_./^
:` _ '^vL.,"\,`"(@b"-"`'' _
:d -v_) \_\ ,--@mL\abdbdC%'._- _ /-`
-(, _,'e '~ma .,,'^`(L/FY**@^T@br'`^` ..:-"-(,
-^-^^:L. -\- _,^\.^\_^-:@^` '"@v^:"_.a-a"` "`
._a@/\_`\:^d@Ymd@@a@@ .%@F*b^` '^-
_,a,_@@@@*Y/@*``` '^~-.,._,d@),L,,--
--_-^`_(($b,_ ^ ^YCF^^-\d .._
-*'_^C@F ^@a/~^ ../_-- '
_,.\:Lc@b :@L(.a^/` '"-
v-~'.-F@C_, ]_@@^r ,
--' ~d`;@b, ]@\^`_-m^`
__'F "TYra__- -*\mmL^, , .,.. .
._/` :F'`:/~b, __d__,@C)F_.-'/'-' '*c-`
'^` '-c '~\Y_e_/:m//F^**FT@)@"- ^` -@-
._-\-` ,7'*b'Yd@L^;--'),^"-,,_, ^'^c
-dF- '` -a,^de`-\_, `' '"''` ^`
., _,,, _:) .a-L .".,
'` ^^^``''` ^` ^ '^^`
-1.255 490 + 0.381 652i @ 0.009, Nmax: 20000
R2F(1/2(1/3B1)B1)S |
s.jpg "-1.187128 +0.303359i 0.009") -1.187128 +0.303359i @ 0.009 period: 8 |
'^~-(_c, -_c `(d/,-_m*m. '^`
_/@d;-_b, ._ '`'"b*"^"
'^`~Yd""` .m^ :_,~(@~` ,,.,
, ___c --(@~^ '\, , _ *bF`._ ,a`"- vc
., :%F "-v_a*` .e ^7d; (_'^bb@ae)C- :,_.`
/` ^"\,a,:, .a@^_ 7,,_`vF/e-"Lm@@@@)./- -L.,.T@*`
@,:; ., ^'@.'ba-d@e),\*.'a(@b@d@@F^`Y@7^^:_%\_b)*m_,
-^F"e,)c_@,],-@/(@@@@@mb(@@@F^^^^^ -*@dCe@)-L, ' ''
-"`^**Y@@@b@@@@"^'^'"@@F^ ^"^@@*.,_.\ee,
._ .$*T"'^"*@b_- ^" "YdC~"(% ``
'""- _,7""^Y@@[, _- :@@vr-, ._
.,, _ ,'.d%^$@@@@emmm@ ._dY"^_- __F
"'T"e%b*bmF"Y`(d]F@^)@C, '@C7"Ya)m(`-c
_-:/` -`'Y^ .__`._/*"T@m, :@br- `'"@Y[
.*^^Y -^ ../__,d%@@bme_ .d@F*r-v, `';
d- '^%@^`"~:$"$*@@b- ._,,__c:@FY@%_ '^
_._,,_'F' -mmv-v@),_a@Y@FF@@@b\"b__-_,,
'`''^"^` -r-``_d\$@b@FF`*;^((-"a 'L^"^"L-
. ,-.maY@@YF[F;'`-@r_, $@r-
_ ''c\@/"Y^'-":@"`-/` dd^""'- '^-
ve, ,'-a_'._eea@"^-'^- '^'\c __7br--
^`^''''`^^^'`^`` ^^` '`
-1.187 128 +0.303 359i @ 0.009, Nmax: 20000
R2.1/2F(1/3B1)S. Compare to R2F(1/3B1)S. |
See also R2.1/2.1/2, R2.1/2.1/4, and R2.1/2.1/5.
revisions: 20080212 first version on record; 20230417 "lightning branch"
From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2024.
Mu-ency main page — index — recent changes — DEMZ
This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2023 Apr 18.
s.27