INTEGRAL SELF-AFFINE TILES IN Rn II. LATTICE TILINGS
نویسندگان
چکیده
Let A be an expanding n n integer matrix with j det(A)j = m. A standard digit set D for A is any complete set of coset representatives for Z n =A(Z n). Associated to a given D is a set T(A; D), which is the attractor of an aane iterated function system, satisfying T = d2D (T + d). It is known that T(A; D) tiles R n by some subset of Z n. This paper proves that every standard digit set D gives a set T(A; D) which tiles R n with a lattice tiling.
منابع مشابه
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تاریخ انتشار 1998