Add to ORKGThis thesis is an exposition of the article by Richard Darst, Judith Palagallo and Thomas Price, entitled Fractal Tilings in the Plane . It discusses the concepts of fractal tilings and similarity things. Given an Iterated Function System F = [f1....fn], the fractal A generated by F is called a fractal tiling if for i = 1,..., n, f1(A) is similar to A and for i 3 j, f, (A) and f,(A) are disjoint. Some methods of generating fractal tilings are discussed in this paper. The examples of fractals shown in this thesis are generated using a program in Mathematics
Fractal geometry is a new branch of mathematics. This report presents the tools, methods and theory ...
27 pages, 13 figures. arXiv admin note: text overlap with arXiv:1101.3905International audienceWe co...
27 pages, 13 figures. arXiv admin note: text overlap with arXiv:1101.3905International audienceWe co...
Because of their self-similar nature, fractals can easily be used to generate tilings in the plane. ...
A fractal tiling or f-tiling is a tiling which possesses self-similarity and the boundary of which i...
A fractal is a mathematical object, that can be split into several parts, each of which is a minuscu...
Dedicated to the inspiration of Benoit Mandelbrot. The pinwheel tilings are a remarkable class of ti...
A simple, yet unifying method is provided for the construction of tilings by tiles obtained from the...
本文ファイルを差し替え（2022-09-05）A similarity tiling is a partition of the plane by tiles all similar to each ...
In this paper I will present the use of fractal geometry to design tile motifs. A fractal is a geome...
This thesis extends the theory of tiling iterated function systems developed in [BV18] and connects ...
Fractal structures containing relief surfaces have applications in a variety of fields, including co...
In computer graphics, geometric modelling of complex objects is a difficult process. An important cl...
Fractal geometry is a new branch of mathematics. This report presents the tools, methods and theory ...
Fractal geometry is a new branch of mathematics. This report presents the tools, methods and theory ...
Fractal geometry is a new branch of mathematics. This report presents the tools, methods and theory ...
27 pages, 13 figures. arXiv admin note: text overlap with arXiv:1101.3905International audienceWe co...
27 pages, 13 figures. arXiv admin note: text overlap with arXiv:1101.3905International audienceWe co...
Because of their self-similar nature, fractals can easily be used to generate tilings in the plane. ...
A fractal tiling or f-tiling is a tiling which possesses self-similarity and the boundary of which i...
A fractal is a mathematical object, that can be split into several parts, each of which is a minuscu...
Dedicated to the inspiration of Benoit Mandelbrot. The pinwheel tilings are a remarkable class of ti...
A simple, yet unifying method is provided for the construction of tilings by tiles obtained from the...
本文ファイルを差し替え（2022-09-05）A similarity tiling is a partition of the plane by tiles all similar to each ...
In this paper I will present the use of fractal geometry to design tile motifs. A fractal is a geome...
This thesis extends the theory of tiling iterated function systems developed in [BV18] and connects ...
Fractal structures containing relief surfaces have applications in a variety of fields, including co...
In computer graphics, geometric modelling of complex objects is a difficult process. An important cl...
Fractal geometry is a new branch of mathematics. This report presents the tools, methods and theory ...
Fractal geometry is a new branch of mathematics. This report presents the tools, methods and theory ...
Fractal geometry is a new branch of mathematics. This report presents the tools, methods and theory ...
27 pages, 13 figures. arXiv admin note: text overlap with arXiv:1101.3905International audienceWe co...
27 pages, 13 figures. arXiv admin note: text overlap with arXiv:1101.3905International audienceWe co...