Transcendental Julia Set Gallery.

<---Julia sets
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Notes

  1. Function: cos(z)+0.38+1.8i
    View Window Corners: (-3,-3), (3,3)
    Iterations: 72
    Coloring: Cosine gold and violet with blue for non-escape.
    Special properties: none.
  2. Function: cos(z)+0.38+1.6i
    View Window Corners: (-3,-3), (3,3)
    Iterations: 72
    Coloring: Cosine orange and steel blue with grey-blue for non-escape.
    Special properties: none.
  3. Function: cos(z)+0.4+1.5i
    View Window Corners: (-3,-3), (3,3)
    Iterations: 480
    Coloring: Cosine green and blue with orange for non-escape.
    Special properties: none.
  4. Function: cos(z)+0.4+1.5i
    View Window Corners: (-1,-1), (1,1)
    Iterations: 480
    Coloring: Cosine green and blue with orange for non-escape.
    Special properties: none.
  5. Function: cos(z)+0.175+1.58i
    View Window Corners: (-2,-2.5), (2,1.5)
    Iterations: 72
    Coloring: Cosine green and violet with blue for non-escape.
    Special properties: none.
  6. Function: cos(z)+0.68+1.9i
    View Window Corners: (0,-3), (3,0)
    Iterations: 120
    Coloring: Cosine red and violet with cyan for non-escape.
    Special properties: non-escape uses cos(4t) rather than cos(t).
  7. Function: cos(z)-1.3+0.4i
    View Window Corners: (-3,-3), (3,3)
    Iterations: 64
    Coloring: Cosine yellow and amber with cyan for non-escape.
    Special properties: None.
  8. Function: cos(z)-1.3+0.435i
    View Window Corners: (-3,-3), (3,3)
    Iterations: 56
    Coloring: Cosine cyan and tan with cream for non-escape.
    Special properties: non escape uses cos(t+0.5) ranther than cos(t).
  9. Function: cos(z)-1.3+0.43i
    View Window Corners: (-0.1,-1.5), (1.1,-0.3)
    Iterations: 120
    Coloring: Cosine light blue and tan with pink for non-escape.
    Special properties: none.
  10. Function: exp(z)+0.45+1i
    View Window Corners: (-1,-5.3), (1,-3.3)
    Iterations: 160
    Coloring: Cosine light blue and tan with yellow for non-escape.
    Special properties: none.
  11. Function: exp(z)+0.35+1i
    View Window Corners: (-3,-3), (-1,-3)
    Iterations: 64
    Coloring: Cosine green and taupe with yellow for non-escape.
    Special properties: none.
  12. Function: exp(z)+0.15+0.5i
    View Window Corners: (-1,0.5), (1,2.5)
    Iterations: 64
    Coloring: Cosine green and taupe with yellow for non-escape.
    Special properties: none.
  13. Function: exp(z)+0.15+0.62i
    View Window Corners: (-1,0.75), (1,2.75)
    Iterations: 120
    Coloring: Cosine green and steel blue with cyan for non-escape.
    Special properties: none.
  14. Function: exp(z)+0.12+0.681i
    View Window Corners: (-3.5,-1.5), (1.5,3.5)
    Iterations: 240
    Coloring: Cosine orange and magenta with cyan for non-escape.
    Special properties: none.
  15. Function: cos(z)+0.38+1.9i
    View Window Corners: (-1.5,-3), (1.5,0)
    Iterations: 120
    Coloring: Cyclic palette with speeds r=0.17, g=0.21, b=0.11, and offsets all zero with cosine blue for non-escape.
    Special properties: red cycle is enhance to 128-255 from 0-255.
  16. Function: cos(z)+0.38+1.95i
    View Window Corners: (-1,-1), (1,1)
    Iterations: 240
    Coloring: Cyclic palette with speeds r=0.17, g=0.21, b=0.11, and offsets all zero with cosine yellow for non-escape.
    Special properties: blue cycle is enhance to 128-255 from 0-255.
  17. Function: cos(z)+0.38+1.95i
    View Window Corners: (-1.3,-2), (0.3,-0.6)
    Iterations: 96
    Coloring: Cyclic palette with speeds r=0.17, g=0.21, b=0.11, and offsets all zero with cosine dark gray for non-escape.
    Special properties: blue cycle is enhance to 128-255 from 0-255.
  18. Function: cos(z)-1.3+0.41i
    on odd iterations and cos(z)-1.3+0.8i
    on even iterations. View Window Corners: (-1.4,-2.25), (0.8,-0.05)
    Iterations: 96
    Coloring: Cyclic palette with speeds r=0.17, g=0.21, b=0.11, and offsets g=0.1, r+0.15 with cosine cream for non-escape.
    Special properties: using modified leaf escape rule (see article on mandelbrot sets).