Introduction: Fibonacci Quilt

I have always been fascinated by the Fibonacci sequence. I thought it might be fun to design and build a quilt for my king size bed that incorporated the sequence. It was a painstaking process to design a repeatable pattern that could be used as a quilting block that when assembled would match the total dimension I was looking for.
I developed a pattern using 1-1-2-3-5-8 for each block and also for the quilt itself. So essentially it’s a geometric Fibonacci quilt.


Fabric, thread, cutter, scissors, cutting board, measuring tape, pins, sewing machine, iron and ironing board, Patience.

Step 1: Step 1 - Design Quilting Block Pattern

I wanted to somehow resemble nature, especially the swirl patterns we often see in flowers. But, i was constrained by needing straight edges to fit my straight edged bed. So, I came up with this. See photo.

Patches are outlined in red. The arrows show the progression in a swirl pattern.

Each patch in the block has area equal to a number in my abbreviated Fibonacci sequence 1-1-2-3-5-8. Each of the "1" patches equals 1 unit. The "2" patch equals 2 units, and so on.

I then thought about the overall assembly of the quilt and that I could assemble it using the same pattern.....

Step 2: Step 2 - Design the Overall Layout

To stay within the dimensions of the king size bed, and knowing the standard widths of fabric - i knew my overall dimensions needed to be approximately 100"x120". So through some trial and error, and allowing for edging, I determined that each block needed to be approximately 8.5"x10.5".

Since I wanted to assemble the entire quilt in the same pattern as the block, I needed to ratio up the overall "patches" by a factor of 4. So what was a 1 unit patch on the individual block became a 4 unit section on the overall quilt. the 2 unit patch became an 8 unit section on the overall quilt, and so on. See photo.

I needed:

  • 4 blocks in fabric collection 1
  • 4 blocks in fabric collection 2
  • 8 blocks in fabric collection 3
  • 12 blocks in fabric collection 4
  • 20 blocks in fabric collection 5
  • 32 blocks in fabric collection 6

i also decided to outline each section with a contrasting fabric so that the sections would stand out just a little more.

Choose fabric for outside edging and corners. Use the outside edging for final adjustments needed to fit overall dimension.

Step 3: Step 3 - Purchase Materials

I purchased enough fabric for the back and enough different colors of cotton fabric to create enough differently colored blocks to achieve my pattern. I also purchased thread, quilt batting and new sharp blades

Step 4: Step 4 - Cut Fabric

This took HOURS. I was efficient by cutting in assembly line style and had stacks of small pieces of fabric all over.

Step 5: Step 5: Assemble Blocks, Sections and Overall Quilt

Lots of sewing and pressing and sewing and pressing.

The first photo above shows a closeup of an individual block.

The second photo shows a closeup of one of the "1" sections (4 blocks make this one section)

The third photo shows the final project: a quilt assembled in a Fibonacci sequence with blocks that were sewn in the same Fibonacci sequence. It's a sequence within a sequence!

The fourth photo shows an overlay of the number of blocks that are in each section - it is a Fibonacci sequence starting with 4: 4-4-8-12-20-32

I'm happy to report that it's in use on my bed and keeps me toasty warm!

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