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Koch snowflake - Wikipedia, the free encyclopedia
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This is a file from the Wikimedia Commons. The description on its description page there is shown below. Commons is a freely licensed media file repository. You can help. ... 7 first steps of the building of the von Koch curve in animated gif. Notice the parallel corresponding diameters present in the inner rhomboids.
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Another beautiful modification of the Koch snowflake involves inscribing the constituent triangles with filled-in triangles, possibly rotated at some angle. ...
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The output of the activities in Shodor's Interactivate are created dynamically by computer languages such as Java. As a result, the pictures on the screen are not something that your browser can easily print. ... Shodor > Interactivate > Activities > Koch's Snowflake...
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Do it again and again. ... Do it infinitely many times and you have a fractal. ... Koch Snowflake; Using Java; Infinite perimeter; Finite area; Anti-Snowflake; Using Java...
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Koch Snowflake is one of the most famous fractals. It is a base-motif fractal with the following base and motif: ... We continue doing the same infinitely to get the Koch Snowflake: ... The Koch Snowflake can be very beautifully filled in by any of the series of fractals called the Snowflake Sweeps.
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The Koch snowflake is constructed as follows. Start with a line segment. Divide it into 3 equal parts. Erase the middle part and substitute it by the top part of an equilateral triangle. Now, repeat this procedure for each of the 4 segments of this second stage.
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The sequence of sets S(1), S(2), S(3), .... that are constructed this way form a Cauchy sequence in the Hausdorff metric, and the limit is the Koch snowflake. Here is a proof.
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The first observation is that the area of an equilateral triangle with side length a is ... Area of the Koch Snowflake ... McWorter Pentigree Pentadentrite Koch Curve Koch Snowflake Levy Dragon...
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