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'Weekly Challenge 14: Mad Robot' printed from http://nrich.maths.org/
A mad robot sets off towards the North East on a journey from the origin. It travels in stages by moving forward and then rotating on the spot. It follows these pseudo-code instructions:
$\quad$DISTANCE = 1000
$\quad$WHILE (DISTANCE > 0.001)
$\quad\quad$ROTATE(90, DEGREES, CLOCKWISE)
$\quad\quad$DISTANCE = DISTANCE / 2
Where does the robot explode?
Extension: Write a program such that the angle rotated and other factors in the problem are variables. Explore where the robot might end up.
Note: You might want to consider this problem in conjunction with the cool Twilgo site!
Did you know ... ?
Many computer programming jobs involve a mixture of logic, clear thinking and mathematics. Learning lots of mathematics and learning to think programmatically can open many doors in the job-market.