Beta-expansions with negative bases.
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Ito, Shunji, Sadahiro, Taizo (2009)
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Crisp, John (2005)
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Noskov, Gennady A. (2000)
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Paul, Alice, Pippenger, Nicholas (2011)
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Milica Stojanović, Milica Vučković (2007)
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Glen Sherman (1990)
Fundamenta Mathematicae
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All maps of type (m,n) are covered by a universal map M(m,n) which lies on one of the three simply connected Riemann surfaces; in fact M(m,n) covers all maps of type (r,s) where r|m and s|n. In this paper we construct a tessellation M which is universal for all maps on all surfaces. We also consider the tessellation M(8,3) which covers all triangular maps. This coincides with the well-known Farey tessellation and we find many connections between M(8,3) and M.