How to Draw the Koch Snowflake
Draw an equilateral triangle., Divide each side in three equal parts., Draw an equilateral triangle on each middle part., Divide each outer side into thirds., Draw an equilateral triangle on each middle part., Repeat until you're satisfied with the...
Step-by-Step Guide
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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 drawing 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. , Measure the length of the middle third to know the length of the sides of these new triangles. , You can see the 2nd generation of triangles covers a bit of the first.
These three line segments shouldn't be parted in three. , Note how you draw each next generation of parts that are one 3rd of the mast one. , 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. , You can colour it, cut it out, draw more triangles on the inside, or just leave it the way it is. -
Step 3: Draw an equilateral triangle on each middle part.
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Step 4: Divide each outer side into thirds.
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Step 5: Draw an equilateral triangle on each middle part.
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Step 6: Repeat until you're satisfied with the amount of iterations.
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Step 7: Decorate your snowflake how you like it.
Detailed Guide
You can draw it with a compass or protractor, or just eyeball it if you don't want to spend too much time drawing 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.
This is why it is handy to have the sides divisible by three. , Measure the length of the middle third to know the length of the sides of these new triangles. , You can see the 2nd generation of triangles covers a bit of the first.
These three line segments shouldn't be parted in three. , Note how you draw each next generation of parts that are one 3rd of the mast one. , 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. , You can colour it, cut it out, draw more triangles on the inside, or just leave it the way it is.
About the Author
Alexander Ruiz
Creates helpful guides on home improvement to inspire and educate readers.
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