I know this probably doesn't belong here (or anywhere else for that matter) but those of you with GoPros (or similar contraptions) may like to rise to [url=http://www.thisiscolossal.com/2014/07/this-is-what-happens-when-you-attach-a-gopro-camera-to-a-moving-car-wheel/]this challenge.
Looks like it was positioned on the hub - which is not an option on a bike. Instead of concentric circles, you'd see eliptical rings - even cooler than the video shown - until the camera died due to excessive g-forces.
Man's ingenuity hath no bounds. But my wife, Kaye, didn't hear me say that as she ran from the room saying something about being about to vomit. I dunno, sensitive souls

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Cheers (and good one)
When I get me a gopro I will accept your challenge. I think I could come up with a bunch of neat ideas.