To understand the Maths behind it please check out my forum-- https://scratch.mit.edu/discuss/topic/354238/ Important note-- This is NOT a game! Please read the notes below! The question is simple-- If the chaser is 4 times quicker than the escapee, can the escapee escape from a circle if it starts at the centre? This question sounds simple, but but behind it involves some pretty complicated Mathematics. Press space to start trial. Use the mouse to control the escapee and try to get out of the blue circle. Seems impossible, right? The chaser is simply too fast. Now set "show options" to 1 and switch to the AI... Human/AI- 0 means you control the escapee, 1 means the AI. Tactics- Gives the AI different ways to try and escape... Tactic1: This is the optimal tactic and is the only way for it to escape-- it involves a lot of Maths! Tactic2: The AI tries to dash straight towards the opposite point of the chaser. Doesn't work... Tactic3: The AI keeps trying to go to the point on the circumference that is colinear to itself and the chaser. Doesn't work as well. If you trace it it'll actually draw a pretty nice pattern... :) Tactic4: The AI keeps trying to go to the point farthest away from the chaser. Sounds like it'll work? It doesn't. Trace- Controls if you want to trace the escapee's trail. Chaser speed- You can play around with the speeds... This is a very interesting problem. You can't run away from the chaser, you can't run to the farthest point of the chaser, but with this optimal tactic you CAN escape!
