Fractal of the Day
by Jim Muth

Schizoid Midget

Fractal visionaries:

Today was perfect for fractal hunting, the temperature of 45F 7C, scudding clouds and brisk wind making it feel just right for mid-December.   Christmas is eight days away.   Will we have snow this year?   Only time will tell, but here at fractal central we have snow on the ground on Dec 25 only about once every 25 years.

The fractal situation might have been perfect, but the domestic scene here at the fractal center was not so perfect.   The perfection was marred when a discussuon about the international situation and political motives got out of control.   But sanity eventually prevailed and tranquility was restored.   Which side do I think is right?   IMHO, there is no answer.   Asking such a question is like asking whether photons are waves or particles -- one can prove that photons are either one.  

Now that I've squirmed my way out of that spot, I notice that we have a fractal picture to discuss.   Remaining in yesterday's formula, I found today's broken up midget after only a 10-minute search.   I named the picture "Schizoid Midget" because the little thing is one of the most split apart midgets I have ever stumbled upon.

The exponent in the formula is 2.5, though the midget looks more like a cubic.   This particular fractal is quite rich with such odd shaped midgets.   If there weren't so many other fractals to explore, I'd take a week or so to explore this one.

The GIF file has been posted to:

START FORMULA================================================

--MandelPMnew {; Jim Muth
z=p2+10^(-100),
c=pixel+(p3)
a=real(p1)+1, b=imag(p1):
z=a*(z^b-(-z)^b)+c,
|z| <= 250
}

END FORMULA==================================================

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

Schizoid_Midget    { ; 30min on a 486-100mhz, 640x480
  reset=1960 type=formula formulafile=plusmin.frm
  formulaname=--MandelPMnew passes=1 center-mag=+0.1136\
  9787578115820/+0.60226927662989070/1778.45/1/27.499
  params=0/2.5/0/0/0/0 float=y maxiter=2400 bailout=25
  inside=0 logmap=32 symmetry=none periodicity=10
  colors=000rAG<13>iS`<9>FEB<17>GYSGZSFXU<16>0Fx<14>WYC\
  <9>uLQ<18>LXy<3>0GZ8SAUaYoju<5>AOa<4>BdZ<6>swigKgfRdf\
  YaIuG<3>dsWis_mRlO_LJhcFpv<5>Psp<5>nRbfVdZYePOfGFf<7>\
  ym8BWM<3>COviRCfgKdxS<7>zui<7>wGh<2>Tdr<14>dhxdhxegw\
  <14>kUskUsjVr<17>ZXjBaTYXjYYjXYiu4A<2>s8E
  }

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

START 19.6 PARAMETER-FORMULA FILE============================

Schizoid_Midget    { ; 30min on a 486-100mhz, 640x480
  reset=1960 type=formula formulafile=plusmin.frm
  formulaname=--MandelPMnew passes=1 center-mag=+0.1136\
  9787578115820/+0.60226927662989070/1778.45/1/27.499
  params=0/2.5/0/0/0/0 float=y maxiter=2400 bailout=25
  inside=0 logmap=32 symmetry=none periodicity=10
  colors=000rAG<13>iS`<9>FEB<17>GYSGZSFXU<16>0Fx<14>WYC\
  <9>uLQ<18>LXy<3>0GZ8SAUaYoju<5>AOa<4>BdZ<6>swigKgfRdf\
  YaIuG<3>dsWis_mRlO_LJhcFpv<5>Psp<5>nRbfVdZYePOfGFf<7>\
  ym8BWM<3>COviRCfgKdxS<7>zui<7>wGh<2>Tdr<14>dhxdhxegw\
  <14>kUskUsjVr<17>ZXjBaTYXjYYjXYiu4A<2>s8E
  }

frm:--MandelPMnew {; Jim Muth
z=p2+10^(-100),
c=pixel+(p3)
a=real(p1)+1, b=imag(p1):
z=a*(z^b-(-z)^b)+c,
|z| <= 250
}

END 19.6 PARAMETER-FORMULA FILE==============================

This URL has been accessed approximately times.


Go back to top, or to the main FotD index page.

Go to Paul's Fractal pages or Home Page.

Want to create, see or know more about fractals?
Go to my Fractal Links webpage.

Website brought to you by the AT&T Personal Web Pages from the AT&T WorldNet Service.

Copyright © 1994--2006 Nahee Enterprises.   All rights reserved.   Reproduction in whole or in part in any form or medium without express written permission of Nahee Enterprises is prohibited.   Nahee Enterprises and the Nahee Enterprises logo are trademarks.