In the Open Road (US) edition of Greg Bear's
Eon one of the scientists has a device built to measure the local value of
pi:
Quote:
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"[...] I don't know how it works, but it does. At least, it seems to. Look." She pushed a button marked with the Greek letter pi. The luminous display read "3.41592645 stable."
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However in this case the unusual value of
pi is caused by an OCR error, rather than a local distortion of the space-time geometry (or whatever it is exactly that the instrument is supposed to detect.)