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November 12, 2012: Root of Epsilon Nov. 11 Nov. 13 2012 FOTD Home
 Rating 5

root of epsilon

Fractal visionaries and enthusiasts: 

Today's image is one of the sights we discover on a journey into the parent Z^(1.64872)+C Mandeloid as it appears 130 levels down the infinite hyperladder.

This parent is a near-symmetrical oval-shaped main bay with two large irregular buds, one on the north and one on the south shore lines.  The image for today lies in the debris field on the northwest shore line of the main bay.

The name "Root of Epsilon" refers to the exponent of Z, which by some strange twist of fate is the square root of 'epsilon'.

The rating of 5 is not much.  I admit the lack, but the calculation time of 1-1/3 minute is not much of a wait either.  And the web sites can cut down even this brief wait.

Too many clouds spoiled the temperature of 66F 19C here at Fractal Central today.  The next FOTD will be posted within a day or so.  Until next time, take care, and grow with the times.

Jim Muth
jimmuth@earthlink.net


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

Root_of_Epsilon    { ; time=0:01:20.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=-0.489177619169/+0.70722309564/8645276
  params=1.64872/0/-130/0 float=y maxiter=3600
  inside=0 logmap=107 periodicity=6
  colors=000EVbAVe7Uf4VdJWbXX`_YZXYXUYVKYTAYR7YP7YN7\
  `R7bV7dZ7baVWfQP`LJVHDPC7J81EB3HD5KF7NI9QKBTMDWOFZ\
  RH`TJcVLfXNi_PlaRocTreVthXkkYbm_Vp`MraEtcFveFzgGmi\
  GciHUfHKcHDcJNcKXcLfcMpcNyoOynPymPymPylPylQykQykQy\
  jQyjUxicwimvirvjvukztlztmzsozrpzrrzqrzprzpnzqkzrla\
  rnZsoWtqTtrQutNvuKvwHwxEwyBnlPe`bYPpTMdOKTJHHFF5LK\
  7QO8VSA_WBe_DjcEogGtkHyoIvmKtlMqjNoiPlgQjfSgdUecVb\
  aX``YYZ_WYaTWbRVdPUeSTaVSYYRU`QQcPNfOJiNFlMBoL7qL4\
  jN3cP3XR3RS3KU3DW36Y30Z3ApGCqJEqMGqOIqRKqUMqWOqZQq\
  `SqcUqfWqhYqk_qmZomZmmYlmYjmYhmXgmXemXdmWbmW`mV_mV\
  YmVWmUYmUZmUZmTZkTaiTcgTceSccScaSc_SmYSmWTmUUmTVmS\
  WmQWmPXmOYnMZmLZmK0mw6msBmoGmlLmhQzeVza_zYdzVizRcz\
  OczKczHczEczCcz9cz7cz4cz2cz6czAczDczHczKczOczRczVs\
  zZtzatzeuzhuzlvzovzsvzvozphzjzzdzzZzzTzzNzzHzzBzz6\
  zzDzzJzzPzzVzz`zzfzzlzzgzzbzzZzzUzzPzzLzzGzzBzz7zz\
  BzzEzzHzzKzzNzzQzzUzzXzz_ }

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=========================================