Fractals – Polypad
There are ready-to-use fractal tiles on Polypad. These are concave hexagons in five different sizes. Let students open a blank canvas and insert all five sizes of fractal tiles.
Compendium of Fractal Tilings - MathArtFun.com
A tiling is a collection of shapes (tiles) that fit together to cover the plane, without overlapping or leaving gaps. A fractal tiling or f-tiling is a tiling in which the arrangement of tiles is fractal. A prototile is a tile to which all other tiles in the tiling are similar; i.e., of the same shape, though not necessarily the same size. At ...
(PDF) Fractal Tilings from Substitution Tilings - ResearchGate
2018年9月16日 · PDF | A fractal tiling or f-tiling is a tiling which possesses self-similarity and the boundary of which is a fractal. By substitution rule of tilings,... | Find, read and cite all the research...
Fractal Geometry
Another approach that captures the complexity of the world around us is to use fractal tiles. For example, starting with a tessellation by hexagons, replace each line segment by three line segments as shown on the left.
Fractal tilings based on v-shaped prototiles - ScienceDirect
2002年8月1日 · We present a family of “fractal tilings” or “f-tilings” in which the curves defined by the boundaries are fractals. All of the tiles in any given tiling are similar to a single prototile that may be generally described as v-shaped.
Fractal Geometry - Yale University
If all the tiles are regular and similar, only equilateral triangles, squares, and hexagons can be used, because each of their interior angles evenly divides 360. Any point in the plane can be surrounded by six equilateral triangles, four squares, or three hexagons.
(PDF) Fractal Tiling - ResearchGate
2013年10月23日 · Tilings with self-similar tiles and "just-touching fractals" are constructed from matrices of integers, extending work by Levy, Mandelbrot, Dekking, Bedford, and others.
Fractal tilings based on kite- and dart-shaped prototiles
2001年4月1日 · A family of “fractal tilings”, or “f-tilings” is presented in which the curves defined by the boundaries are fractals. There are two distinct branches, one with three f -tilings based on kite-shaped prototiles, and the other with three f -tilings based on dart-shaped prototiles.
(PDF) Fractal Tiling - Academia.edu
By “fractal”, we mean that each tile is the attractor of an iterated function system (IFS). Computer generated drawings of tilings of the plane by self-similar fractal figures appear in papers beginning in the 1980’s and 1990’s, for example the lattice tiling of the plane by copies of the twindragon.
(PDF) Symmetries of fractal tilings - ResearchGate
2008年3月1日 · We show tilings with tiles that are topological disks and others whose tiles are connected but have an interior that is disconnected.
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