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July 22, 2012: Inside a Rectangle July 21 July 23 2012 FOTD Home
 Rating 7

inside a rectangle

Fractal visionaries and enthusiasts:

I have been writing about the strange Z^(2.003)+C rectangle for several days now.  Today I take us inside one of them.  The image shows most of the inside of a tiny rectangle in one of the railroad tracks in the upper left part of the image of July 20.  Today's scene is filled with square spirals and proto-rectangles that continue the theme to ever deeper levels.

The name "Inside a Rectangle" describes the location of the scene.  The rating of a 7 means I consider the image to be average.  The color palette is the same as the earlier one though with increased contrast.

The calculation time of 3-1/4 minutes is slightly slow.  Be thankful for the web sites.

Moving on from the gun violence problem (which I have not yet said the last word about) to the problem of climate change leading to global warming, I must state my ideas about the situation.  I am a firm believer in climate change and global warming, and I believe that the warming temperatures will eventually cause the ice sheets to melt and the oceans to rise.  But the warnings that we must immediately take drastic impossibly expensive action to slow the climate change are ridiculous.  It ain't gonna happen.

What could be done that might have even a minor effect and is politically acceptable?  The answer is, nothing.  To begin, man's activities are responsible for only a small part of the warming, and countries like the U.S. and China, which are in recession and need to expand their economies, will certainly refuse to take the extremely costly steps to lower their CO2 emissions, which would also shrink their economies and add to their financial difficulties.

Perhaps the most ridiculous solution is that we switch our energy sources from fossil fuel to replaceable sources such as solar and wind power.  Do the math.  Check how much energy we use in the U.S. alone and check how many windmill generators would be required to supply that power and how large an area these generators would cover.  And then check how much it would cost and how long it would take and how many parks and forests would be replaced by bird-killing windmill farms.  You will be surprised at the numbers.  If we turn to windmills, the same environmentalists who are now clamoring for the windmills will soon be clamoring even louder to save the parks, forests and birds.  The story is the same with solar panels.

Global warming has started and will continue despite the uproar from the left.  If we are determined to spend money on the problem, we should suck it up and begin taking the first steps to prepare for the inevitable changes.  If coastal cities will be flooded, start building massive flood walls or moving the cities to higher ground.  If low-lying island nations will be submerged, start planning where to move the inhabitants.  If the weather patterns will change, determine where the optimum areas for agriculture will be located in the warmer climate.  A warmer earth means faster ocean evaporation and heavier rainfall, not the worldwide desert that is pictured on the 'doomsday' TV shows.

The only certain solution to the energy problem that I can see is nuclear fusion.  (Not nuclear fission, which brings the familiar dangers.)  If we must spend billions or trillions of dollars, let's spend it on trying to get fusion working.

Today here at Fractal Central turned out to be an optimum midsummer day, with partly cloudy skies, a temperature of 86F 30C and breeze enough to cool those who over-exert themselves.  The fractal cats, never in danger of over-exertion or over-rumination, passed the day sleeping and playing, while the humans wasted their limited energies pondering the world's problems.  The next FOTD will be posted in a certain time on a certain mailing list and on certain web sites.  Until then, take care, and if I'm going to be a blogger, I might as well do it right.  I sure have enough to blog about.


Jim Muth
jimmuth@earthlink.net


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

Inside_a_Rectangle { ; time=0:03:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 passes=1
  center-mag=-0.01186841359088516/+0.004446669673071\
  37/2801143/0.6295/-11.5967517555616801/7.982752345\
  08589993 params=89/89/89/89/-1.7435/0/0.000175/\
  0.073883/2.003/0 float=y maxiter=32767 inside=0
  logmap=146 periodicity=6
  colors=000o`co`bm``lZ`kYZiWYhVWfTWdSVcSTbQS`OSYMQW\
  KOVIOTGMTFKSFKQDIODIMAGK8FI6DG4DF1AA08808606404101\
  001800614FF8DQDASG8TK6VW4Wf1Yp0Zv0`z0bz0cz0dz0cz0c\
  z0bz0bz0bz1`z1`z1Zz1Zy1Zy1dq1dq1cp1cp1bo1bo1bf1Tf4\
  Td4Sd4Sc4Sc4Qb4Qb4O`4O`4OZ4MZ4MY4KY4KW6IW6IV6IV6GT\
  6GT6FS6FS6FQ6DQ6DO6AO6AMFz0Dx0Du0Dt0Dq0Dp0Am0Al1Ai\
  1Ah4Ad6Ac68`88YA8WD8TD8SF6OG6MI6II6GK6DMGk0Ff0Fc0D\
  `1DY4AV8TQAVMFWIGYFKzOzzMzzMzzMzzKzzKzzKzzKzzIzzIz\
  zIzzIzzGzzGxzGuzFszFpzFmzFkzDhzDdzDbzDZzASzAQzAOzY\
  zzWzzWzzWzzVyzVxzVxzVvzTuzTuzTtzSszSsySqxSpvQpuQot\
  QmsOmqOlpOkoOkmMilMiiMhhKffKfdKdcKcbIc`IbZI`YG`WGZ\
  VGYSGYQFWOFVMFVKDTIDSGDSFDQDAOAAO8AMzzzzyyzxxzvvzu\
  uzttzssyqsxpquoptmoslmpkloiklhkkfzifzfdzddzcdz`dzZ\
  czYbzV`zThzQhzOhzMhzIhzGhzFhzAhz8hzthzshzqhzqhzphz\
  ohzohzmhzlhzlhzkhzihzihzhhzfhzfhzdhzchzchzbhz`hz`h\
  zZhzYhzYhzWhzVhzVhzThzShz }

frm:SliceJulibrot4   {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z^(real(p5))+c
  |z|< esc }

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