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Studying Wythoff and Zometool Constructions using Maple
We describe a Maple package that serves at least four purposes. First, one
can use it to compute whether or not a given polyhedral structure is Zometool
constructible. Second, one can use it to manipulate Zometool objects, for
example to determine how to best build a given structure. Third, the package
allows for an easy computation of the polytopes obtained by the kaleiodoscopic
construction called the Wythoff construction. This feature provides a source of
multiple examples. Fourth, the package allows the projection on Coxeter planesComment: 11 pages, 11 figure