Turtles Circling
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WHAT IS IT?
This is a new kind of mathematical investigation — we are investigating the emergent shape created by the movement of many turtles moving independently in simple ways. Each turtle is moving so as to create a circle of a fixed radius (set by the RADIUS slider). What happens if the radius they are all circling at is changed in mid-action? Guess before you try it.
HOW IT WORKS
The turtles create their circles by moving forward a little and turning right a little so as to end up with a circle of the specified radius. We start all the turtles on a circle of that radius so they move around the circle.
HOW TO USE IT
The NUMBER slider determines the number of turtles circling.
The RADIUS slider determines the size of the circle each turtle moves on.
The SPEED slider determines how large a step each turtle take at each clock tick -- it determines the speed of circling.
The SETUP button creates NUMBER turtles on a circle of radius RADIUS centered at the point (0 0). The turtles are all headed so as to move around the circle.
The ALL-CIRCLE button starts the turtles circling. They are each drawing their own circle of radius RADIUS.
Change the value of the RADIUS slider while the turtles are circling. Before you do it, what is your guess as to what will happen when you change the RADIUS?
THINGS TO NOTICE
What is happening to the shape described by the turtles?
How far out do the turtles go?
How far in do they come?
THINGS TO TRY
Try different values of both starting radius and changed radius.
You can also do further investigations with the following controls:
The ZERO-CIRCLE button lets you just focus on turtle zero's movement -- all the rest are stopped.
The DRAW-CIRCLE button lets you draw a circle on the patches with a radius equal to DRAW-RAD. This way you can track the movement of the turtles.
If the PLOT? switch is on, the plot will show a plot of turtle zero's distance from the origin as the turtles circle.
Try the command lt 50 while the turtles are circling. Is this the same behavior as you observed when changing the radius?
In the Command Center, get a single (or several) turtles to trace their path using the command pen-down (pd). This may help to show the relationship between the circles of individual turtles and the circle you see as they all move together.
EXTENDING THE MODEL
What tools can you build to help visualize what is going on?
NETLOGO FEATURES
The display command is used for smooth animation.
HOW TO CITE
If you mention this model in a publication, we ask that you include these citations for the model itself and for the NetLogo software:
- Wilensky, U. (1997). NetLogo Turtles Circling model. http://ccl.northwestern.edu/netlogo/models/TurtlesCircling. Center for Connected Learning and Computer-Based Modeling, Northwestern Institute on Complex Systems, Northwestern University, Evanston, IL.
- Wilensky, U. (1999). NetLogo. http://ccl.northwestern.edu/netlogo/. Center for Connected Learning and Computer-Based Modeling, Northwestern Institute on Complex Systems, Northwestern University, Evanston, IL.
COPYRIGHT AND LICENSE
Copyright 1997 Uri Wilensky.
This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-sa/3.0/ or send a letter to Creative Commons, 559 Nathan Abbott Way, Stanford, California 94305, USA.
Commercial licenses are also available. To inquire about commercial licenses, please contact Uri Wilensky at uri@northwestern.edu.
This model was created as part of the project: CONNECTED MATHEMATICS: MAKING SENSE OF COMPLEX PHENOMENA THROUGH BUILDING OBJECT-BASED PARALLEL MODELS (OBPML). The project gratefully acknowledges the support of the National Science Foundation (Applications of Advanced Technologies Program) -- grant numbers RED #9552950 and REC #9632612.
This model was converted to NetLogo as part of the projects: PARTICIPATORY SIMULATIONS: NETWORK-BASED DESIGN FOR SYSTEMS LEARNING IN CLASSROOMS and/or INTEGRATED SIMULATION AND MODELING ENVIRONMENT. The project gratefully acknowledges the support of the National Science Foundation (REPP & ROLE programs) -- grant numbers REC #9814682 and REC-0126227. Converted from StarLogoT to NetLogo, 2001.
Comments and Questions
to setup setup-circle radius number setup-plots end to setup-circle [r n] clear-all set-default-shape turtles "circle" ;; turtles should be evenly spaced around the circle create-ordered-turtles n [ set size 2 ;; easier to see fd r rt 90 ] end to all-circle circle radius display end to circle [r] ask turtles [ move-along-circle r ] if plot? [ update-plots ] end to move-along-circle [r] fd (pi * r / 180) * (speed / 50) rt speed / 50 end to zero-circle ask turtle 0 [ pen-down move-along-circle radius ] display end to draw-circle clear-drawing create-turtles 1 [ set color gray - 3 set size 2 * draw-radius set shape "circle" stamp die ] end ; Copyright 1997 Uri Wilensky. ; See Info tab for full copyright and license.
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Attached files
| File | Type | Description | Last updated | |
|---|---|---|---|---|
| Turtles Circling.png | preview | Preview for 'Turtles Circling' | over 12 years ago, by Uri Wilensky | Download |
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