Summary

DescriptionAlg9n5.png	Parameter plane colored according to sign of 5-th iteration. It uses algorithm 9, order n=5.
Source	Image made with program Mandel by Wolf Jung
Author	--Adam majewski (talk) 19:17, 24 February 2010 (UTC)
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Long description

Color shows in which quadrant of a Cartesian coordinate system n-th iteration lands:

• re(z_n) > 0 and im(z_n) > 0 (first quadrant)
• re(z_n) < 0 and im(z_n) > 0 (second)
• re(z_n) < 0 and im(z_n) < 0 (third)
• re(z_n) > 0 and im(z_n) < 0 (fourth).

Because there are 4 quadrants then 4 colors are used .

"... when the four colors are meeting somewhere, you have a zero of q_n(c), i.e., a center of [hyperbolic component for] period dividing n. In addition, the light or dark color shows if c is in M." ( Wolf Jung )

Licensing

I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.