Interior components of a tile associated to a quadratic canonical number system |
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| Authors: | Benoit Loridant |
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| Institution: | Department of Mathematics and Statistics, Leoben University, Franz-Josef-Strasse 18, A8700 Leoben, Austria |
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| Abstract: | Let  be a root of the polynomial p(x)=x2+4x+5. It is well known that the pair (p(x),{0,1,2,3,4}) forms a canonical number system, i.e., that each x∈Zα] admits a finite representation of the shape x=a0+a1α+?+a?α? with ai∈{0,1,2,3,4}. The set T of points with integer part 0 in this number system |
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| Keywords: | Canonical number systems Tiles Systems of graph directed sets |
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