There and Back Again

Stage: 3 Challenge Level: Challenge Level:1

You could use some trial and improvement to help you visualise what is happening:

Try to imagine a sphere and think about the path Bilbo takes.
Pick a point on the sphere as his home and see what happens when you walk as described.
Can you now use this to pick a different point so he will return to where he started?


The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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