-- card: 12235 from stack: in
-- bmap block id: 14375
-- flags: 0000
-- background id: 2811
-- name: 


-- part 1 (button)
-- low flags: 00
-- high flags: A003
-- rect: left=69 top=272 right=294 bottom=169
-- title width / last selected line: 0
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-- part name: f    iterates
----- HyperTalk script -----
on mouseUp
  open "bin:quadratic map:plot_iterates"
end mouseUp



-- part contents for background part 22
----- text -----

Returning to the logistic map:
the iterates of  ƒ(x)  show the cycles as fixed points.

• the 2-cycle at  a=3.2  is represented by the two fixed 
    points  of  

•  the 4-cycle at  a=3.5  is represented by the four fixed
     points of