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The Fifty-Nine Icosahedra was originally published in 1938 as No. 6
of "University of Toronto Studies (Mathematical Series)." Of the
four authors, only Coxeter and myself are still alive, and we two
are the authors of the whole text of the book, in which any signs
of immaturity may perhaps be regarded leniently on noting that both
of us were still in our twenties when it was written. N either of
the others was a professional mathematician. Flather died about
1950, and Petrie, tragically, in a road accident in 1972. Petrie's
part in the book consisted in the extremely difficult drawings
which consti tute the left half of each of the plates (the much
simpler ones on the right being mine). A brief biographical note on
Petrie will be found on p. 32 of Coxeter's Regular Polytopes (3rd.
ed., Dover, New York, 1973); and it may be added that he was still
a schoolboy when he discovered the regular skew polygons that are
named after him, and are the occasion for the note on him in
Coxeter's book. (Coxeter also was a schoolboy when some of the
results for which he will be most remembered were obtained; he and
Petrie were schoolboy friends and used to work together on
polyhedron and polytope theory. ) Flather's part in the book
consisted in making a very beautiful set of miniature models of all
the fifty-nine figures. These are still in existence, and in
excellent preservation."
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