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The common image of the quaternionic Newton in 3D is for the cube roots of 1 i.e. (1,0,0,0), here's a different one, it's not a perfect render but good enough to get the idea across

Cube Roots of "j" i.e. (0,0,1,0)



Larger version here:
http://www.deviantart.com/deviation/43328408/