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Sierpinski triangle
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1 $Our project involved visualizing the fractals generated from systems of contraction mappings known as an iterated function system (IFS). If we iterate the family of functions starting with an arbitrary set, we get a sequ$	Our project involved visualizing the fractals generated from systems of contraction mappings known as an iterated function system (IFS). If we iterate the family of functions starting with an arbitrary set, we get a sequ Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2012-05-02 20:43:16 Geometry Mathematics Space Triangles Triangle geometry Curves Topological spaces Fractal curves Sierpinski triangle Iterated function system Triangle Affine transformation
2	98 7 Further Space-Filling Curves A close examination of the terminal productions reveals that we can replace these by simpler productions that correspond to only one step: Add to Reading List Source URL: www.space-filling-curves.org Language: English - Date: 2014-07-26 11:14:02 Fractal curves Fractals Curves Topological spaces Topology Sierpinski triangle Sierpiski curve Sierpinski carpet
3 $Problem of the Week Problem B Nesting Triangles The Sierpinski triangle is a famous example of a fractal. Starting with a black equilateral triangle, an equilateral triangle void (shown as a white triangle in the second$	Problem of the Week Problem B Nesting Triangles The Sierpinski triangle is a famous example of a fractal. Starting with a black equilateral triangle, an equilateral triangle void (shown as a white triangle in the second Add to Reading List Source URL: cemc.uwaterloo.ca - Date: 2016-04-07 10:28:19
4	Self-Healing Tile Sets Erik Winfree California Institute of Technology, Pasadena, CA 91125 Add to Reading List Source URL: www.dna.caltech.edu Language: English - Date: 2005-09-15 03:51:04 Mosaic Building materials Tiling Floors Pavements Wang tile Sierpinski triangle Tile Tessellation Geometry Mathematics Visual arts
5	The Cantor Set Tanya Khovanova June 6, 2011 Class Discussion The Cantor Set, the Sierpinski triangle, Odd numbers in the Pascal’s triangle. Binary tree movie by Vi Hart. Add to Reading List Source URL: www.tanyakhovanova.com Language: English - Date: 2011-06-18 14:15:38 Polygons Fractals Quadrilaterals Triangle Triangle geometry Sierpinski triangle Square Hexagon Geometry Geometric shapes Triangles
6	Fractal Replication in Time-manipulated One-dimensional Cellular Automata Sugata Mitra Sujai Kumar Centre for Research in Cognitive Systems, NIIT Ltd., Add to Reading List Source URL: www.complex-systems.com Language: English - Date: 2012-09-20 14:36:40 Dimension Sierpinski triangle Cellular automaton Rule 90 Fractal Cell Replication Chaos theory Fractals Mathematics Geometry
7	A Limit to the Power of Multiple Nucleation in Self-Assembly Aaron D. Sterling∗ AprilAbstract Add to Reading List Source URL: www.cs.iastate.edu Language: English - Date: 2008-05-01 20:47:41 Construction Building materials Floors Pavements Decorative arts Tessellation Tile Nucleation Sierpinski triangle Mosaic Visual arts Geometry
8	PLOTS OF LOGICAL OPERATIONS ON INTEGERS Below are 3D plots of and(x, y), or(x, y), and xor(x, y) as functions of integers x and y. These plots were produced by Mathematica. For each function, two plots are shown, one for Add to Reading List Source URL: www.hackersdelight.org Language: English - Date: 2004-08-05 22:37:12 Geometry Triangles Curves Topological spaces Sierpinski triangle Logarithm Function Mathematics Fractals Mathematical analysis
9	Overview The board, based on Sierpinski’s Gasket, is composed of a large triangle formed with colored sub-triangles, one for each of the players. These triangles are the home territories of each player. Each turn playe Add to Reading List Source URL: www.pair-of-dice.com Language: English - Date: 2007-06-07 00:26:19 Abstract strategy games Triangle geometry Triangle Go Bizingo Sierpinski triangle Geometry Games Triangles
10 $Continuous evolution of fractal transforms and nonlocal PDE imaging Edward R. Vrscay Department of Applied Mathematics Faculty of Mathematics University of Waterloo$	Continuous evolution of fractal transforms and nonlocal PDE imaging Edward R. Vrscay Department of Applied Mathematics Faculty of Mathematics University of Waterloo Add to Reading List Source URL: links.uwaterloo.ca Language: English - Date: 2007-07-18 17:36:05 Partial differential equation Fractal Integral transform Operator Sierpinski triangle Fractal compression Mathematics Mathematical analysis Fractals