Robot between enemies
- Author:
- Rafael Losada Liste
This activity belongs to the GeoGebra book Attractive projects.
2D project: create dynamic systems by playing with attraction and repulsion.
Now the robot (red dot P) knows the end position you want to reach (green dot O) but you must dodge a series of enemies (blue dots).
Once the points are placed, we call the unit vector from P to O the attractor.
As before, we create the unit vectors that go from each blue point to P and divide them by the square of the distance that separates them. These vectors will be the repulsions that will move P away when it is too close to them. Now we add all these vectors to obtain the advance vector.
We create a slider t that will serve to animate the point P (to which we have activated the trace), so that it varies quite frequently, for example, between 0 and 1 with step 0.01.
Finally, we create the constant inc = 0.2, which will help us to establish the progress in each step.
Now we write the program of our robot. Each time the value of t is updated, the following script will be executed with a single instruction:
- SetValue (P, P + inc advance)
Author of the construction of GeoGebra: Rafael Losada