Golden gaskets: variations on the Sierpi ski sieve
From MaRDI portal
Publication:4821913
DOI10.1088/0951-7715/17/4/017zbMath1054.28002arXivmath/0309304OpenAlexW2099929146MaRDI QIDQ4821913
Dave Broomhead, Nikita Sidorov, James A. Montaldi
Publication date: 22 October 2004
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0309304
attractoriterated function systemSierpiński gasketIFSfractalopen set conditiongolden gasketmultinacci numbersSierpiński sieve
Fractals (28A80) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Hausdorff and packing measures (28A78)
Related Items (16)
Matrix representations for some self-similar measures on \(\mathbb{R}^d\) ⋮ Fractal patterns related to dividing coins ⋮ On generalization of Sierpiński gasket in Lobachevskii plane ⋮ On a class of self-affine sets on the plane given by six homotheties ⋮ A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures ⋮ Absolute continuity of complex Bernoulli convolutions ⋮ On the cardinality and complexity of the set of codings for self-similar sets with positive Lebesgue measure ⋮ Intersection of Sierpinski gasket with its translation ⋮ Similar dissection of sets ⋮ Critical base for the unique codings of fat Sierpinski gasket ⋮ Quantization for uniform distributions on stretched Sierpiński triangles ⋮ On the complexity of the set of codings for self-similar sets and a variation on the construction of Champernowne ⋮ On a kind of self-similar sets with complete overlaps ⋮ Multivalued dynamic systems with weights ⋮ The space of Penrose tilings and the noncommutative curve with homogeneous coordinate ring \(k\langle x,y \rangle/(y^2)\) ⋮ On the Interior of “Fat” Sierpiński Triangles
This page was built for publication: Golden gaskets: variations on the Sierpi ski sieve
