Shepherds crook
Robert P. Munafo, 2023 Jul 1.
colloquial name for one of the prominent spirals on the east side of the seahorse valley region. Such features are also seen in other cusps such as R2.C(1/3).
The following sequence shows the exact same part of the Mandelbrot set that was pictured in the 1985 Scientific American, in the four images om page 18:
 -0.7457 + 0.1100 i @ 0.01, Nmax: 9306 view in DEMZ | aL,_m@r"%@@@@@@@@bYCF@@@bm@^"*@./*@@):_,_.__ _@@F^`bd^d)"L@@\$@7m%*d%$@@/e/@d@@@@@@CC@d@@ '*"'bmb,*b(@Y7@FC/*"^^^^ '"` '~Y@@@@@-*Y@(e\ *"^^*'"^"^` __._ "Y@@F^a_ _Y@@ .__m*""*@_ -@e,_./F@@ _a@*` (LLdF -F@C@@"md% .ad$$" '^` .__/@@@@$@F"^ "@Yb@F -@@@@@@@@me.. ._.dbv/Tcae, . _^%%"*@F*@(b -dCa@@Cva@@@,_ .am),__mm@@'" 'dd@d@ ^*****Cd$F@@Ym_/@@@@@FF\*@___dYY@@e, .d'` _$@rY"` :F'@@@@@@@bm@Y@@L`ddF` -m@@d,_TYFbb) . -Y*Y%@@'T**""*Y@%@@ _C_d*b_a@@Y@b,dmd@-d@*"` ^*c; .,a,_ vbCF($b:@@@.'\@@@d@@F` '` __./*@[^%\.@@b@@d@d@F"d@@/@*` ` '-F%d@@)__:)@@@@@@dbCb@@@@dFYYbmmb, , ^"""F'*F\Y@@@@@@@FF@mbaF^/F@@*b@@_,, __m` -beaFY^m@d@@@@@@@@mC7Y@C__/mdb@@adreamm/~F :/Fb./*dC@Y"7@C(@@*'*^^*`^*Y@@@@@7Y@C^$d@, 'T*"v)*/*^^^`_,,, -d@@F%e _@d@Yb .aa/"^^Yb ` /@_._dFY@L, -0.74574 +0.10996 i @ 0.00981 nmax 9306 |
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 -0.745296 + 0.113039 i @ 0.000392, Nmax: 9306 view in DEMZ | .,, _ (@C_e.a /@b_ear ._m-TF@$Y@_ .d7Y*@**b, ., -aC@$@\L/m$` '@Yv($L,`*.__.,_ad@___e_, (C$@@@@@mmma_a_,:m -CY@@@@@@@C@@$CC'$@@$@***v,]@@@@@@@@@@@)Y@^\@ m___e_,, Y@@@@@@@@CCd~@*\@-'^^ *~`]@@@@@@@@CrC$@*m%% @@@dF*^%v,T@@@@@$@d$dF*\mm@@F` .$@Y@$*@@F"@""baamd @)/"` ~~ 'F$$Fd$bYL@vd%F]@Ybe ammdLdF"@(d@@d"be7m$FF ^)d@r _,%C\F`*Lv^^'Y@"` _%*e'Y@@*m"md@@..d$F"" '^" @T@@bc -@b@@dC"d@@e:b"L_ (dLdbe__ -FF(-b\)e ara d^^`^""_^^"^ **\F*'@@\e,,^"@@^a^[ ._mL^`/@\_ 'Ym ` d7-$Fd*^7e _@bevC/@@@be,'*b_,,.__@*@FY\dC@d, '@ mc_ '^^*Y@e'^`_._^%^^r@@@@@@@@c '"*@@$bFYdC@@@@@@@c " YC7LLme__ ^"Yb@)$@@/@FF@@@@@@@@ Y*'"FY@@@@@@@@ *mb@@@@@@ec ^ '** '` .(d(Y@%" :%$@FC@F @@@@@@@@@b@, ^*@F^^ ^$@-*Y` b$F*@F@@$CC ^ ' ' ")@ba^' "` -0.745295 +0.113039 i @ 0.000392 nmax 9306 |
 -0.7454270 + 0.1130089 i @ 7.53e05, Nmax 9306 view in DEMZ | $*Y$@@@ba, _ -Y^bY$Y(Y@@Y@@b$%Fa\bm7^a@@@@@@@L %,d@)^7(Tb@F -*%@\@@@T@@Y$dr@dC:$,./@C*"Y$@)` ^*"@@bT"$C*$v__ '*"@-@/@*%*d*@ed^;b@@m '` "^` ^Y@"F@@be_, '^^@\@C$@%@br*Y"' ^` '` ^@*C@@b._ '` ^` ^ "*@$@@,_, _ _ '*d\@@L,_, :mm@@Yb@__ /@\FLb@C,, __ _ ac__me_am__ac -md@@^ ._,T@, -@m"F@@F^-@@@@^$@@\C@$C@@dF@em- .d@b[ "(L/" -m@@F:r/[vd*Y@L%@"** ^ ' '"Y@$$_, ^TCmmc .'^%_/@@@m-a_$@"* ____ :dFY` :@@b\@,__ _,_:bmd@^me@@bdd**^^ .aF`m$ -b@F" '$@CC$Cb7@FL@^)\ccmeT^:[.d@@@- *@e____@d(c ' '^@"vY@@T/C@@@)%`/r._dF@@, ^^**F** "" ''T$@`~@bd@bmC.C\mm- ' .@@@(^)$]@@m.., '^ '*\@b$ad]@L,.._ .. Y*"\abd)LC/@@e_:mm__ a ,@@L__._e :@@(%/)@dL(\Y@(F"\' `@@@""]@@m\:mc, __ ^ ^"@@@^\drCbed/7 /"*d@mY@(e'/@F*c@@, .. '*^`^**@@@FL`@ me_^r)ea@7^-)@_(%"^)d@, -YFY`"Y/ -0.7454270 +0.1130089 i @ 7.53e-05 nmax 9306 |
 -0.7454286 +0.1130087 i @ 1.27e-5, Nmax 9306 view in DEMZ Magnification of the central island showing 4-way symmetry (did not appear in Scientific American) | @@$)bd"bd*Y"` .._m__, *b$, :Y@@@@@@@(@^%mm*- @@@CY\%@eYF` _d@F^^%"\, :@@- "@Y@@@@@bC@vmme^* @@@F@Y/r"/- :a@@; 'C)F` .d\r '"Y@@@@C)d)*^** @$*@$T)@*- _@@dc :a@@@- `"^*^" ^ b($\@@"" '"F*d\mc ..,_m"@/mm b'"" ` ._/@@:@@be,-@@@@@T@@meaa,. ___e_m,m__ :*F@@$;.,/Ye'^^_v_]F`-d@@@CFY@*"'""*Ym, _, :mea@C^-@@`'bL:F@dYY_LF'YF**\b@@^' :ave @@ _.,m_,d@mm"@@@b**-v_a/$vd@@@@dd@Cmm-m,'@F^` 'Ym_dF` *@)@@@@$C/@^@m[ -7`'Y`@@@@-^`^@@C))e_m*^___ ' ^^" '^ '*`^*@@@e "@CY$@@@L '@@m*F :d@@@_ ._ _ _ -Y@@"_ad("@@@`.:_,_,(@@a$@e,*@F@*m"@meFmm@ .am\mm, _.r"^"Y@@@@@@YYF@@@Y)d_-~`.$/@m/Yd@@$F@` /@C ee@ :ed@`'*-*(L%$"($)*%7(@/^%%""@Cd@@@^^^" '@@__.___:ar@^@/mb@b.F_/@*`"Y@ _:[]@F;._"" ^^ "*Y@@@@@@YF"*@@\e.dc^^__m_,"bd;,:d@@@be . ' ` ^^ ^Yd@)@$@@@@ '*Y@d(Y@@^` -mm '*YF@m"^ ^ '*^$@mb_ ]r@vC _, _a__mcm-e., a@bYF` -Y@Y` .vYm*-) '@@m@%$Y*@vY@@)e, .@@b- ..m"v, :(%@^ 'vY/*@$$ vd%^*C$\@@@@@b@Cr -/dY` -@;""`ad@F" :e@mFY%)C "$"Lm$-@@@@@@@@CF -/@@` ^*Ydm@@^^ ._m%/F/C@F -0.7454286 +0.1130087 i @ 1.27e-05 nmax 9306 Central island with 4-way symmetry |
revisions: 20080212 oldest on record; 20100919 add image; 20230701 expand with 4 more images and DEMZ links
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 Jul 01.
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