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Perhaps the digital sundial of Falconer is what you need: http://www.researchgate.net/publication/225574085_Digital_sundials_paradoxical_sets_and_vitushkins_conjecture

Here is a photograph of a working model: http://apod.nasa.gov/apod/ap120626.html
     SolsticeDial
     (Image added by O'Rourke)

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Perhaps the digital sundial of Falconer is what you need: http://www.researchgate.net/publication/225574085_Digital_sundials_paradoxical_sets_and_vitushkins_conjecture

Here is a fotograph photograph of a working model: http://apod.nasa.gov/apod/ap120626.html

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