The fibonacci sequence is probably something you’ve heard of before, especially if you’re interested in mathematics or nature. If not, you can learn more about the fibonacci sequence through climbing stairs pattern activity. In fact, some truly amazing artwork is made using the Fibonacci sequence? So, for our next math art project instead of creating a fibonacci spiral art like we did for our Fibonacci spiral Christmas Tree craft or Mondrian style Fibonacci Gnome hat art, we decided to employ the Fibonacci sequence to create quilt designs. And I have to say, it is very addictive. It was a great zen exercise for the kids as well, and we ended up making 6-7 different patterns.
WHAT IS A FIBONACCI SEQUENCE
The Fibonacci sequence is a series of numbers where each number is the sum of the previous two numbers. It looks like this: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144… As you can see, each number is simply the sum of the two numbers that come before it. Now, let’s use it to make some quilt patterns.
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FIBONACCI QUILT MATH ART PROJECT
We started with creating a quilt pattern on a graph paper using the fibonacci sequence. Once we had our basic pattern mapped out, we started adding colors and oriented our patterns to make our quilt really pop out.
FIBONACCI ART – QUILT PATTERN # 1
For our first quilt pattern, we used the Fibonacci sequence to build a rectangular block . First, using the fibonacci sequence, we colored rectangular strips in a variety of hues. Each rectangular strip’s width is determined by the number in the fibonacci sequence. Therefore, the first rectangle strip will be one inch wide, and the second rectangular strip will also be one inch wide. Since 1″ strip plus a 1″ strip equals 2″ strip. So, the next strip is 2″ broad. To figure the width of the third strip, we added the 2″ to the previous 1″ strip and got 3″. So the next strip is 3″ wide. To figure the fourth strip, we added the 3″ with the 2″ to get 5″.

After that, we filled the graph paper with pattern design to create our fibonacci quilt. By altering the pattern’s orientation, we experimented with several designs.

FIBONACCI QUILT PATTERN # 2
We decided to use the fibonacci sequence to create squares and rectangles for our second fibonacci quilt pattern, and we arranged them to create a lovely pattern.. First, we made a 1 x 1 square. After that, we added a second 1 x 1 square diagonally beneath the original one at one of the corners. In a similar manner, we created a 2 x 2 square, followed by a 3 x 3 square that cascaded diagonally below the previous square. The remaining space was then filled with rectangles of widths 1, 1, and 2, as illustrated below, to form a square pattern.
We then tessellated this pattern afterward to create our second quilt layout.

FIBONACCI QUILT PATTERN # 3
We chose to employ the fibonacci sequence in border ratio for our third quilt. Therefore, we began with a square of 1″, added a border to it that was 1″, again, and then added borders that were 2″, 3″, and so on.

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As you can see, there are lots of fun and creative ways that you can use the Fibonacci sequence when making quilt design. We think that following the Fibonacci sequence is sure to give your quilt that extra bit of pizzazz. So next time you’re feeling stuck for ideas or just looking for something new to try out in your quilting projects or math inspired art, keep fibonacci sequence in mind!
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