Question
The function f(x,y) accepts an ordered pair as input and gives another ordered pair as output. It is defined according to the following rules: If x>4, f(x,y)=(x-4,y). If x<=4 but y>4, f(x,y)=(x,y-4). Otherwise, f(x,y)=(x+5,y+6). A robot starts by moving to the point (1,1). Every time it arrives at a point (x,y), it applies f to that point and then moves to f(x,y). If the robot runs forever, how many different points will it visit? Thank you.
Answers
Damon
1,1
6,7
2,7
2,3
7,9
3,9
3,5
3,1
8,7
4,7
4,3
9,6
5,6
1,6
1,2
6,8
2,8
2,4
7,10
3,10
3,6
3,2 this thing is a pretty good vacuum cleaner, keep going until it repeats a point :)
6,7
2,7
2,3
7,9
3,9
3,5
3,1
8,7
4,7
4,3
9,6
5,6
1,6
1,2
6,8
2,8
2,4
7,10
3,10
3,6
3,2 this thing is a pretty good vacuum cleaner, keep going until it repeats a point :)