As part of an Open call for the Google developer day, I was selected to create a demonstration using the new Android ADK.
I have been working on an Android app to calculate the probability of seeing a rainbow (using your current location and weather). In  this project, rather than displaying the chance of seeing a rainbow on  the screen of the phone, it will instead be projected onto a wall. To  keep the cost of this project reasonable, a slide projector will be used  to project the image. The particular slide to present (e.g. a rainbow  graphic, a sun graphic, etc) will be selected by advancing the slide  projector appropriately, using the ADK - I will replace the advance  switch on the projector remote with a relay controlled by one of the  digital out connections on the ADK. The entire device (phone connected  to an ADK connected to a slide projector) will also sit on a circular  plastic disc. The orientation of the disc will be controlled by a  stepper motor, with the stepper motor (and hence the orientation of the  disc and the projector) also controlled by the ADK. This will allow the  rainbow to be projected in the appropriate direction where one should  look to see it (a rainbow is always observed in the opposite direction  to the sun), feedback on the orientation will be provided using the  compass in the phone.
You can read the proposal I submitted here
You can read the proposal I submitted here
In this blog, I will detail my efforts at building the device. The GDD is in 28 days, let's hope it gets finished in time!!! 

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