Fractal visionaries and enthusiasts:

Today's image is the second variation on the theme of the East Valley elephants.  I have named it "Two Half-Elephants".  Actually, the name is not quite correct.  The elephants in question are not exactly half-elephants, they are 12/25 elephants, which makes them a little less than half-elephants.

The problem with today's elephants is that the parent fractal is not the Mandelbrot set, it is the Mandeloid that results when the expression Z^(1.48)+C is iterated 11 steps up the hyper-stairway with the floor function applied.  This figure is a near shapeless blob, with a rudimentary East Valley.  Today's scene lies on the south side of this valley.

The curled trunks of the elephants are quite apparent, as are their fat rumps, but their middle sections seem to have vanished.  The beasts still faithfully guard their appointed buds however, even though the buds are shrunken shriveled things that almost no one but a fractal fanatic would find interesting.

The semi-elephants are filled with smaller semi-elephants, apparently all the way down.  The image is also filled with minibrots, though I have made no effort to track them down.

The name "Two Semi-Elephants" fairly describes the scene.  Since by this time the elephant theme is a bit worn out, I declined to rate the image.

The calculation time of 9-1/4 minutes is far more that what the image is worth.  Here again, the FOTD web sites gallop to the rescue.

The day began with heavy clouds and light sprinkles of rain here at Fractal Central, but by noon the clouds broke, leading to a partly cloudy afternoon with a temperature of 75F 24C.  The fractal cats had a relatively normal day of sleeping anywhere they could find.  With the warmer weather here, they no longer seek the afternoon sun.  Meanwhile, the humans had a quiet day, except for FL, who spent the afternoon working in her garden.

The next FOTD, a continuation of the elephant theme, is scheduled to be posted in 24 hours.  From the way things have been going lately however, I would not be surprised if it were late.  Until then, take care, and even the wisest among us know almost nothing.

Jim Muth
jimmuth@earthlink.net


START PARAMETER FILE=======================================

Two_Semi-Elephants { ; time=0:09:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=floor float=y
  center-mag=+0.1315118895857274/+0.0741804615612379\
  /3827.567/1/-10.75/0 params=1.48/0/11/0
  maxiter=50000 inside=0 logmap=50 periodicity=6
  colors=000fPMfQMfQMfRMfSNfTNfTNfUNfVOfVOfWOfXOfXOf\
  YPfZPf_Pf_Pf`QfaQfaQfbQfcQfdRfdRfeRffRffSfgSfhSfhS\
  fiSfjTfkTfkTflTfmUfmUfnUfnUfnUdnWcmXamY`lZZl_Yk`Xk\
  aVjbUjcSieRifPjgOihNiiLhjKgkIflHemGdnFclFbkEajE`hE\
  _gD_fDZfDYdDXcCWbCUaCT_BSZBRYBQWAPVAOUANS9MR9KQ8JP\
  8JN8JM7IL7HK7GK6FK6EK8DKACKCBKEAKG9KI8JK7IM6HO5GQ4\
  FP3EP2DO2CO2BO2AN29N29M29M28M28L28L28K28K28K28A28A\
  27A27I27I27H27F27A27A27F26F26F26C26D26F16K16K16H16\
  K15K15K15K15K15K25K35K45K64K86KA8MCAOECQGDSIEUKFWM\
  GYOH_QIaSJcUKeWMgYOi_QkaSh_QdYOaVMYSKVPHRMFOJEKGCH\
  DADA8A76644N16M15L15L15K15K15K15K15K15K15K15L15M14\
  N14O14P14Q14S14U14U14U14V14W14X13Y13_13a13c13c13d1\
  3e13f13g13h1Am2Am1Km1Km1Km1Um1Um1Um1Um1cm1cm1cm1cm\
  1mm1mm1mm1mm1zm1zm1zm1zm1zm1zm1zm1zm1zm1zm1zm1zm1z\
  m1zm1zm1zm1zm1zmAnmAlmAkmAimAzmAzmAzmAzmAzmAzmAzmA\
  zmAzmAzmAzmAzmAzmAzmAz000 }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

END PARAMETER FILE=========================================