NRICH: Route to Infinity
Can you describe this route to infinity? Where will the arrows take you next?
Take some time to look at the route followed by the arrows in this diagram. (Interactive)
Then look away and describe the path to a friend.
If the pattern of arrows continues for ever, which point will the route visit immediately after (18,17)? Explain how you know.
How many points will be visited before the route reaches the point (9,4)?
Explain how you worked it out.
Which point will be the 1000th to be visited?
Click here for a poster of this problem.
Age 11 to 14
Click here for a poster of this problem.
What are you looking for?
Organization
Website URL
Type of Resource
Online Interactive Activity
Assigned Categories
Resource k12
Can you describe this route to infinity? Where will the arrows take you next?
Take some time to look at the route followed by the arrows in this diagram. (Interactive)
Then look away and describe the path to a friend.
If the pattern of arrows continues for ever, which point will the route visit immediately after (18,17)? Explain how you know.
How many points will be visited before the route reaches the point (9,4)?
Explain how you worked it out.
Which point will be the 1000th to be visited?
Click here for a poster of this problem.
Age 11 to 14
Click here for a poster of this problem.
What are you looking for?
Organization
Website URL
Type of Resource
Online Interactive Activity