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Design of Experiment -- twelve coins

[cross-posted to chemed-l and phys-l]

I wrote up a discussion of the famous Twelve Coins puzzle,
making connections to fundamental scientific disciplines
such as
-- Design of Experiment (test-vector design)
-- Information theory (entropy)
-- Communication theory (codeword design)

To illustrate the power of the method, I designed a _parallel_
algorithm ... that is, it is not necessary to use the results
of earlier weighings to design the later weighings.