Chaos Game for polygon random float factor "r"

1 collaborator

WHAT IS IT?

Thhis is using NetLogo to play the Chaos Game. In the Game, using two very simple rules, beautiful fractal pictures are generated. The rules are: In a regula polygon of n number of side, it has n number of apices. Into that space, a random spot is chosen as the starting point. Throw a die, and depending on the result of the throw, the next point chosen will be along the line that leads from that point to the indicated apex. How far along that line is the point going to be placed? In the original Chaos Game with the triangle, the point is midway along that ine, or r = 0.5. But that could be changed.

HOW IT WORKS

(what rules the agents use to create the overall behavior of the model)

HOW TO USE IT

(how to use the model, including a description of each of the items in the Interface tab)

THINGS TO NOTICE

(suggested things for the user to notice while running the model)

THINGS TO TRY

The classical Chaos Game was done on a triangle with r = 0,5 and it results in the Sierpenski triangle. Try the other polygons, and vary the “factor”

EXTENDING THE MODEL

(suggested things to add or change in the Code tab to make the model more complicated, detailed, accurate, etc.)

NETLOGO FEATURES

(interesting or unusual features of NetLogo that the model uses, particularly in the Code tab; or where workarounds were needed for missing features)

RELATED MODELS

(models in the NetLogo Models Library and elsewhere which are of related interest)

CREDITS AND REFERENCES

Written by Dr Ronald P. Ng Singapore e-mail: ronaldpaul.ng@gmail.com

Comments and Questions

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Click to Run Model

globals [turtleX
         turtleY
         newXcor  ; the new xcor which the turtle will go to
         newYcor  ; the new ycor which the turtle will go to
         turtleDistance ; thd distance the turtle has to travel
         worldLength
         factor
        ]

to setup
  ca
  ;; with the worldLength, excessLength and octogonSide length set up, these data will be used
  ;; in defining the points of the octogon

  set worldLength max-pxcor  ;; that being the size of the world



  crt 2 [
          set color white
          set size 10]
  ask turtle 0 [setxy random-xcor random-ycor
                hide-turtle]
  ask turtle 1 [setxy 0 0
                face patch 0 160
                hide-turtle
                ]

  reset-ticks
end 

to go

  find-new-position ;use tutle 1
  set turtlex  [xcor] of  turtle 0
  set turtley [ycor] of turtle 0
  ask patch turtlex turtley [set pcolor green]
  move-new-position
  if ticks > max-ticks [stop]

  tick
end 

to move-new-position
  set factor (random-float random-r + 0.5) ;; each time, the point determined on the line between the present position and the corner of the polygon will be decided by a
                            ;; slightly different factor

  ask turtle 0 [set turtleDistance distancexy newXcor newYcor
                             face patch newXcor newYcor
                             fd turtleDistance * factor ]
  ask patch newXcor newYcor [set pcolor green]
end 

to find-new-position
  let random-turn random number-of-sides * (360 / number-of-sides)
  ask turtle 1 [rt (random-turn)
                fd 380]
    set newXcor  [xcor] of turtle 1
    set newYcor  [ycor] of turtle 1
  ask turtle 1 [setxy 0 0
                face patch 0 380]
end

There is only one version of this model, created over 2 years ago by Ronald Paul Ng.

Attached files

File	Type	Description	Last updated
Chaos Game for polygon random float factor "r".png	preview	Preview for 'Chaos Game for polygon random float factor "r"'	over 2 years ago, by Ronald Paul Ng	Download

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