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Author: prateekiiest

Koch Curve/README

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+The Koch snowflake (also known as the Koch curve, Koch star, or Koch island) is a mathematical curve and one of the earliest fractal curves
+to have been described. It is based on the Koch curve, which appeared in a 1904 paper titled “On a continuous curve without tangents, 
+constructible from elementary geometry” by the Swedish mathematician Helge von Koch.
+
+How to construct one:
+
+Step 1:
+Draw an equilateral triangle. You can draw it with a compass or protractor, or just eyeball it if you don't want to spend too much time draw
+ing the snowflake. It's best if the length of the sides are divisible by 3, because of the nature of this fractal. This will become clear
+in the next few steps.
+
+Step 2:
+Divide each side in three equal parts. This is why it is handy to have the sides divisible by three.
+
+Step 3:
+Draw an equilateral triangle on each middle part. Measure the length of the middle third to know the length of the sides of these new 
+triangles.
+
+Step 4:
+Divide each outer side into thirds. You can see the 2nd generation of triangles covers a bit of the first. These three line segments
+shouldn't be parted in three.
+
+Step 5:
+Draw an equilateral triangle on each middle part. Note how you draw each next generation of parts that are one 3rd of the mast one.
+
+Step 6:
+Repeat until you're satisfied with the amount of iterations. It will become harder and harder to accurately draw the new triangles, but 
+with a fine pencil and lots of patience you can reach the 8th iteration. The one shown in the picture is a Koch snowflake of the 4th 
+iteration.
+
+Step 7:
+Decorate your snowflake how you like it. You can colour it, cut it out, draw more triangles on the inside, or just leave it the way it is.
+
+
+Reference Links:
+http://www.geeksforgeeks.org/koch-curve-koch-snowflake/
+https://www.wikihow.com/Draw-the-Koch-Snowflake
+https://en.wikipedia.org/wiki/Koch_snowflake