1. The problem statement, all variables and given/known data A thought experiment. Imagine ants living on a merry-goround, which is their two-dimensional world. From measurements on small circles they are thoroughly familiar with the number pi. When they measure the circumference of their world, and divide it by the diameter, they expect to calculate the number pi=3.14159. . . . We see the merry-go-round turning at relativistic speed. From our point of view, the ants’ measuring rods on the circumference are experiencing Lorentz contraction in the tangential direction; hence the ants will need some extra rods to fill that entire distance. The rods measuring the diameter, however, do not contract, because their motion is perpendicular to their lengths. As a result, the computed ratio does not agree with the number . If you were an ant, you would say that the rest of the universe is spinning in circles, and your disk is stationary. What possible explanation can you then give for the discrepancy, in view of the general theory of relativity? 2. Relevant equations None needed. 3. The attempt at a solution My friends and I have tried to answer this problem using the curvature of space. We tried to explain how the outer edges of the merry-go-round bend inward from an observer outside the merry-go-round and so the diameter calculated from the measure of the circumference will be different than measure the diameter directly. However, we think the entire outside of the merry-go-round will bend inwards equally.