How to Make a Sierpinski Triangle

Print out triangular grid paper., Draw an equilateral triangle., Divide this triangle into four smaller triangles., Divide all the coloured triangles into four smaller triangles just as you did the first one., Divide the next smaller coloured...

9 Steps 1 min read Medium

Step-by-Step Guide

  1. Step 1: Print out triangular grid paper.

    You can make your own in a graphics program, print out the image next to this step (click to enlarge), or print it out from here.
  2. Step 2: Draw an equilateral triangle.

    The sides should each have a number of triangles that is a multiple of four.

    This example will start with a large triangle that is 16 triangles to a side.

    Don't colour the triangles yet.

    Just trace the outsides of the ones you will colour. , Leave the one in the middle blank. , Again, leave the middle triangle of each set blank. ,, Colour them as mentioned in the previous steps. ,,
  3. Step 3: Divide this triangle into four smaller triangles.

  4. Step 4: Divide all the coloured triangles into four smaller triangles just as you did the first one.

  5. Step 5: Divide the next smaller coloured triangles into fours

  6. Step 6: leaving the center of each blank.

  7. Step 7: Divide the next smaller triangles.

  8. Step 8: Keep dividing triangles as many times as you wish.

  9. Step 9: Finished.

Detailed Guide

You can make your own in a graphics program, print out the image next to this step (click to enlarge), or print it out from here.

The sides should each have a number of triangles that is a multiple of four.

This example will start with a large triangle that is 16 triangles to a side.

Don't colour the triangles yet.

Just trace the outsides of the ones you will colour. , Leave the one in the middle blank. , Again, leave the middle triangle of each set blank. ,, Colour them as mentioned in the previous steps. ,,

About the Author

D

Diane Campbell

Dedicated to helping readers learn new skills in practical skills and beyond.

68 articles
View all articles

Rate This Guide

--
Loading...
5
0
4
0
3
0
2
0
1
0

How helpful was this guide? Click to rate: