Fractal visionaries and enthusiasts:  

A ship that sails on the stellar winds of space -- how romantic. A fractal ship that sails abstract mathematical hyperspace on the winds of numbers -- well, maybe not quite as romantic, but a lot more real than space ships will ever be.

Today's image shows a fractal ship plowing through four-dimensional space on its way to who knows where.  I named it "Ship of Space" when I turned the original image, which looked nothing like a ship, upside down before discarding it.

The formula, MandelbrotBC2, is an early version of the MandelbrotBC3 formula.  I like to bring up the old formulas now and then to see what I can do with them.

The calculation time of 1-1/2 minutes is a fair price for the scene.  And luckily, the web site problem has been solved for good (I hope) and the image is posted there.

Lots of clouds darkened the skies here at Fractal Central today, while the temperature held around a quite reasonable 43F +6C.  The fractal cat, now into the 'senior cat' group, spent the day sleeping on his high bookcase.  The humans passed the day doing lots of human and a few inhuman things.

The next FOTD will most likely be posted in 24 hours.  Until whenever, take care, and we will never get any significant part of our energy from things like solar panels and wind turbines for the same reason that we stopped using wind to propel our large sea-going ships.

Jim Muth
jimmuth@earthlink.net


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

Ship_of_Space      { ; time=0:01:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 passes=1
  center-mag=-0.6537202144440802/+0.4582235896757069\
  /14661.82/1/-149.4/0 params=1.5/0/-1.5/0 float=y
  maxiter=1000 inside=0 outside=fmod periodicity=6
  colors=000OdDSfEXiG`lIdoKiqLmtNqwPvzRuwRstRqqSomSm\
  jTkgTicTg`UeYUcVVaRV_OVYLWWHWUEXSBXQ7YQ7XQ7WP7UP7T\
  P7SO7QO7PN7ON7MN7LM7KM7IM7HL7GL7EK7DK7CK7AJ79J78J7\
  6I75I74H72Aw3X2yILlHNjGPhFRfEUdDWbCY`B_ZAbX9dV8fT7\
  iQ7hQ7gP8fO8eO9dN9cM9bLAaLA`KB_JBZICYICXHCWGDVFDUF\
  ETEESDFQCGQCIQDJQDLQEMQFOQFPQGRPHSPHUPIVPJXPJYPK_P\
  L`PLbOMcONeONfOOhOPiOPkOQmNRmORlQRkSRkTRjVRiXSiZSh\
  _SgaSgcSfeSefTdhTdjTclTbmTboTaqU`sU`tU_vUZxUYzVZxV\
  `vUbtUcrTepSgnSilRjjQlhQnfPpdOpeMpgKpiIokGomEooCoq\
  Ans8nu6nw4my2ku6ipAflEdgJacN_ZRXUWXUUXUSXVQXVOWWMW\
  WKWXIWXGWYEVYCVZAVZ8V_6V_4U`2U`4U`6U_8V_AVZCVZEWYG\
  WYIWYKXXMXXOXWQYWSYVUYVWZUYXSWVQUTNSRLQPJOMGMKEKIC\
  IG9GE7EC5C92AU2Nn1_`y`hygqxzzwzwvzttzqrznpzkozhmwe\
  kubis_grXfrUdqRbqO`pL_pIYoFWoCUn9UmEWhJ_cPdZUhUZlP\
  dmK`nPWkUSgZNccJ`hEYmEVmDTmDRmCPmBNnBLnAJn9Hn9Fn8D\
  o7Bo78o50K50K50K50K50K50K }

frm:MandelbrotBC2   { ; by several Fractint users
  e=p1, a=imag(p2)+100, p=real(p2)+PI
  q=2*PI*floor(p/(2*PI)), r=real(p2)-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=========================================