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My favourite locations on the Mandelbrot set fractal

It’s pretty cool that each of these images is defined (minus colour palettes), with just four floating point values:

  • -0.777120613150274923773
  • -0.777120273471042550002
  • 0.126857111509958518545
  • 0.126857366062765260933

You can make similar ones at the link below…

Firey pattern
Firey pattern
Top Spikey Spires
Top Spikey Spires
Smooth Deep Brot
Smooth Deep Brot
Red Yellow Blue
Red Yellow Blue

Generated by Tom Atkinson using software: http://math.hws.edu/eck/js/mandelbrot/MB.html

Firey pattern:

<?xml version='1.0'?>
<mandelbrot_settings_2>
<image_size width='1600' height='900'/>
<limits>
<xmin>-0.777120613150274923773</xmin>
<xmax>-0.777120273471042550002</xmax>
<ymin>0.126857111509958518545</ymin>
<ymax>0.126857366062765260933</ymax>
</limits>
<palette colorType='RGB'>
<divisionPoint position='0' color='0;0;0'/>
<divisionPoint position='0.17' color='1;0;0'/>
<divisionPoint position='0.83' color='1;1;0'/>
<divisionPoint position='1' color='1;1;1'/>
</palette>
<palette_mapping length='1000' offset='0'/>
<max_iterations value='50000'/>
</mandelbrot_settings_2>

 

Smooth Deep Brot:

<?xml version='1.0'?>
<mandelbrot_settings_2>
<image_size width='1600' height='900'/>
<limits>
<xmin>-0.1010963735366917967418</xmin>
<xmax>-0.1010963735366884924122</xmax>
<ymin>0.9562865135190346089334</ymin>
<ymax>0.9562865135190364863934</ymax>
</limits>
<palette colorType='RGB'>
<divisionPoint position='0' color='0;0;0'/>
<divisionPoint position='0.2' color='1;0;0'/>
<divisionPoint position='0.4' color='1;1;0'/>
<divisionPoint position='0.5' color='1;1;1'/>
<divisionPoint position='0.6' color='1;1;0'/>
<divisionPoint position='0.8' color='1;0;0'/>
<divisionPoint position='1' color='0;0;0'/>
</palette>
<palette_mapping length='1000' offset='0'/>
<max_iterations value='10000'/>
</mandelbrot_settings_2>

Red Yellow Blue

<?xml version='1.0'?>
<mandelbrot_settings_2>
<image_size width='1600' height='900'/>
<limits>
<xmin>-0.741536187499999998982</xmin>
<xmax>-0.733203562499999999338</xmax>
<ymin>0.188327906250000000015</ymin>
<ymax>0.194577375000000000015</ymax>
</limits>
<palette colorType='RGB'>
<divisionPoint position='0' color='0;0;0'/>
<divisionPoint position='0.2947882736156352' color='1;0;0'/>
<divisionPoint position='0.3583061889250814' color='1;1;0'/>
<divisionPoint position='0.6612377850162866' color='0;0;1'/>
<divisionPoint position='1' color='0;0;0'/>
</palette>
<palette_mapping length='1000' offset='800'/>
<max_iterations value='50000'/>
</mandelbrot_settings_2>