Today is 30 July 2014, the 211th day of the year.
 

 

 



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Two travelers who live on a strange world each decide to take a hike. Traveler Gizmo and Traveler Ding plant a large flag in the ground and begin walking. Both prefer to walk alone, so Traveler Ding heads in a direction turned 90 degrees to the right away from the direction taken by Traveler Gizmo, and both walk in a perfectly straight line towards the horizon. After three hours, Traveler Gizmo finds himself passing the flag they planted at the start, but keeps right on walking. After three more hours, he passes it again. Finally, after yet another three hours, as he is approaching the flag yet again, he sees Traveler Ding also approaching the flag – from Traveler Gizmo's left.
Today's challenge: If Gizmo and Ding are walking at the same rate of speed, what is the shape of their world?

HINT


Solution to yesterday's challenge



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