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Self-affine fractals of finite type

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Bandt C., Mesing M.

Banach Center Publications

2009

tom 84

nr 1

131-148

In the class of self-affine sets on ℝⁿ we study a subclass for which the geometry is rather tractable. A type is a standardized position of two intersecting pieces. For a self-affine tiling, this can be identified with an edge or vertex type. We assume that the number of types is finite. We study the topology of such fractals and their boundary sets, and we show how new finite type fractals can be constructed. For finite type self-affine tiles in the plane we give an algorithm which decides whether the tile is homeomorphic to a disk.

Ograniczanie wyników

1 Banach Center Publications

1 Bandt C.

1 Mesing M.

1 2009

Wyniki wyszukiwania

Self-affine fractals of finite type