page_title: Orbit portrait
section_title: Examples
hierarchical_section_title: Orbit portrait / Examples
caption_attribution_description: English: parabolic julia set for parameter c = e 2 &#x03C0; i 3 4 &#x2212; 1 = &#x2212; 1.125 + 0.21650635094611 &#x2217; i {\displaystyle c={\frac {e^{\tfrac {2\pi i}{3}}}{4}}-1=-1.125+0.21650635094611*i} . It is a root point between two Mandelbrot set components&#160;: period 2 period 6 components with adress&#160;: 1 &#x2192; 1 / 2 2 &#x2192; 1 / 3 6 {\displaystyle 1\xrightarrow {1/2} 2\xrightarrow {1/3} 6} . "Julia set ... showing the six rays landing on a period two parabolic orbit. The associated orbit portrait has characteristic arc I = (22/63, 25/63) and valence v = 3 rays per orbit point." &#91;1&#93;.
context_page_description: In mathematics, an orbit portrait is a combinatorial tool used in complex dynamics for understanding the behavior of one-complex dimensional quadratic maps.
  In simple words one can say that it is:
  a list of external angles for which rays land on points of that orbit
  graph showing above list
caption: Julia set with period two parabolic orbit. The associated orbit portrait has characteristic arc I = (22/63, 25/63) and valence v = 3 rays per orbit point.
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