R2.C(0)

Robert P. Munafo, 2008 Feb 1.



R2-Name:

R2.C(0)
Abbrev: RC(0)
Colloq.: elephant valley, east valley
Coords: center = 0.25+0.0i, size = 0.2

R2.C(0) is the R2-name of the large cusps of R2a. It is called "Elephant Valley" because of the features (such as that in figure 2) that resemble an elephant's head and trunk.

The larger island mu-molecules in Elephant Valley have about the greatest distortion of all distorted island mu-molecules. An example is shown in figure 3.

Compare to the illustration in the R2F(1/2B1)S.C(0) entry.

0.29833 +0.00111i  +0.1
0.29833 +0.00111i @ +0.1

.-mF'YmdmdCamF*\F~ ../~**^ ^^(\@@)"m` R2a . '^(m@ ., ^^^` __de.,]@^\_._F _amb-'*$@)F(`*" .'^*ac _ ^**~^ _ad%mm/(amm/ .,'"b^ .^*@/-` ./@*vdC)m/ _,aL,F_.c^*^ _.e/),:***^ _.:(/La"*"` __aa^-)~^^ ..,_md"*'^ __._,-"^^` ---`*:%__, '^`-v__,_ `^*Yam.__ ^""L-)\__, ''(TF"ame, '"\)`'mmm_ `"F`b^'`_m__ '~@m"YC)*\ `-aF_,'_m@\-, "Y%**T("**\ '-_m"` ^__mm\_ "*F-:m$@7b(,me R2a ^Y"'`]@_~^'^L ._(*@ '`.____,, '^' ''^^^ ` Coordinates: +0.29833 +0.00111i @ +0.10000
Figure 1. Elephant Valley.
+0.291665 -0.015555i  +0.008249
+0.291665 -0.015555i @ +0.008249

-"._ac_,, _.m@@@Fv"*v )@^.bF^*@,.$mm_ _d@r$@--"dvd^d%L, Ymr'"` ""@$, *^ '\d, _,__,,.__, __,.@` ..a-@^TC `@F"^e._,_, '(_r" ./(b(Y")$F"d@e a*FY,/m\, .dd@d@@@@F/F@_:mmb@"^ ^b .")b/@@@@/$%mm@@"*v/ ^`._mm\_, c ._"(%bd*@^\bCdC_'` .-L__ _dY@YY$_@*e, __,_, .-@@@*"_/@b^^@@@*@FL:@@@C\m/''L@-YrC -\__ @@@@b-., _.,m@` :L,"FC@b^` vd(@@\_$F^"d%TCL.,:@r-Y@@Fv, @@@@@@@@bm, a@@@@@F-:@@%d@@CCb_,-"^^ ^(@%"*"$YF ^^~*T)-/\ab_ T@Y@@b/` -" @@@Y*"~_d$@F^`'@ddY@b .ed@`^^ '*"/%L '@@c^$_ _$$@F(@@F***e ._/@)*@d,_ v_m"^` ^)$, @CC\md@@m_,@@@$)-^ '^*d@mL,)@ame_, _ ]b[ `*F^YFF\_,/@C^ ^@@$_/Y@@@@@, :F`_aF '^**@F^^@^ '^"Y@@@F@F@@ ^^^` . ^"YmYc R2.14/15a :mr@@@"_@*%" _m% '"\, -@bb@:_/b/@F- .*v\ '` ,.dm@Y@@`'^^'*@[ ..F*F( '-.__amm@@@F-*@` -e* . :m@-dC@ '"-bd__%,_d%_, __md@@me_ .__,^***^` ^'Y"@@@@@@@m\am@@@@@@@YL)m__ ._:mm@Y_ _/mr '^Y"`Y@@\_d@$@C@@@CY*(@"*v, .d@@d[@@F"-d@F% ^"*@e@F"*-$@eFdbb^ -` ]@@@@d@*[__F@@F R2a ^"( '@@m'^Y ]F$@dmbm/@Cm@@` -_mF@FTmammm_,,.a@@^@C^"*^`^'^^~ '^^^'^^^^^^^^'^^^'^^` Coordinates: +0.291665 -0.015555i @ +0.008249
Figure 2. Detail of figure 1. R2.14/15a and attached filaments.

 

+0.2925755 -0.0149977i  +0.0004277
+0.2925755 -0.0149977i @ +0.0004277

.d_@FL -"` 'Y^ ~*"^YFL7 $*$m@me,__,^*$c@e,v_/*"*~"bvv /*@F@F`Yd@@bm,_,, .m@,__.d__d^@7".m(__L/@\aT@.__d$Y@b 'Y[ ~m@@r*@b/*@$-vF^^-@@b@@CLC@@@@@7m"^F@e@@@bd@@@m(d.$(7 -."` '"*"` ^'r@F._L,_.$,_)ddF$@""@@b@@/@@Y@*@@7C""_*` ^` .._mam/a .d' '***$@"^^F$@@@^"^^`'^^^"*Y@ "@@CL@^*\mmmm_, .__-dF@@@@CC .(@-___.dc_.7^@$%C@*' ' -_a@@F%"^`,._bF*(d)--'*]bL@@*@%bm v'@dm*CL]%$b@@dmC@@` / '"Y@CF%"C"`"bb_'` '^`.Y@__@ __:edmb@$@[^^ ^ 1 ]@@d@bb-@CY@, .F)@)@" @Cm@Y@L^"` . \_d@@$"@` ')_, :@)*F^T_ _:ea@@*` . T@@@-d@-/m@@@am--/""$@-v$be Cmdb@@` R2F(14/15B1)Sa \d@@F*c__/@L/*` '@*YY@@ @C^ ^ . :@@*^^@$^`T$Yb, ._dbm@^d* /@bem[ A a@T/@\d@)m%F"_/mm--*b%F. T@ YdL@@[ . .@@****@@Y@@@YF_F@e,m*@@'^"* @Fv@@%_ . '"` '"@Y@@m@@@C"`Y` d.@@$$@_ 2 . . -m@@F(@F'Tmm, __ @7*vd/$@b, / . ._d 3 :@@Y*F_^YL""`-*d C^mdd@F"^^` . . __aF@@, ./@@dm@%@*Y .d _@@@@@ @m___. _..a_dd@$7@be .- "@@@Y)-vmm-,Y@ (^/)@F-_ _:@@$Y@@_mmmc ^mmd@md@CCdmC/C@@m___,.__am@bmmm@@@@/m^@L_ _C d@$@@bm@mmm@@Y\b/%Y@@F@bem@@)FY@@dL_$^`F@@@@F@ma@@@@FY@@@$YC7@@@@/@%$d *$T@@C@"(F@YCC_:*^'(bd@@@@@FmFd--"*FYm/^"dC*-@Y@@@d-^F"@_[_/"-FF(@$@b@ 'CdC@m\_d_d^'@(@\_:"^`Yb^*CL_'^ '@^"`-"m@er"a@F*mFm[-/db"@mm^"dC"(@@ ,@YFd^^T/@"--Y@@@C@F__/^'"*@@@$,__L% :/@)^"@$` d" 'm@*`""m@re^d '\@@__-^ ],a$$@@:e_.d_/be@*@F@),_.a^` "(m@beYv --" (/b"_ am-^C$@Y :F@%d*` ^^**$d@@F"-(@LdF$$ ./"^v@^\a_-@@e --"` %*b.@F^F, m./*^ :c .C$$@@F m___dYmm%@@CC7^\@d"_meF[ d@@d)"eF@e.____ Ymm@*%/]*` '^***~_bC@@@*"^"$$m-Cm$[ _, '*@@F@,]Y%v$@@@b 'F\b/'" .- .a_/$@@@[ '\_ ` ''^ '^ ''^^' '^^^ '` '^'^^`^^ Coordinates: +0.2925755 -0.0149977i @ +0.0004277
Figure 3. A highly distorted island: R2F(14/15B1)S . Features 1 and 2 are the .2/3 and .1/3 child mu-atoms respectively, their difference in size is obvious. The cardioid itself is symmetrical (its axis is shown by the dotted line labeled "A") but the .1/2 mu-atom (feature 3) is way off-center.

Labeled features in figure 3:

A. The cardioid.
  R2-Name: R2F(14/15B1)Sa
  Period: 16

1. R2-Name: R2F(14/15B1)S.2/3a
  Period: 48

2. R2-Name: R2F(14/15B1)S.1/3a
  Period: 48

3. R2-Name: R2F(14/15B1)S.1/2a
  Period: 32

This island belongs to R2F(14/15B*) which is part of the Main Sequence; see that entry for a list of similar islands.




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

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