Actually, the posibilities are endless. Why not something powered off mains voltage? Maybe an under-counter light for your counter or an accent light above your fireplace or something...I don't know--what do you have in your house that needs to be lit up?
if you have it strobe fast enough, it might actually look like it isn't strobing. the phospher in the led is still active for about a half of a second after the power to it is off.
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