Showing posts with label 36 officers problem. Show all posts
Showing posts with label 36 officers problem. Show all posts

Saturday, 22 December 2012

Thirty Six Officers Quilt Top Tutorial

Another idea taken from the mathematics fact book (of which I should really find the actual name so that I can link to it), is the "Thirty-Six Officers Problem". My last one was the Penrose Tile post.

Wikipedia states:

"The thirty-six officers problem is a mathematical puzzle proposed by Leonhard Euler in 1782.
The problem asks if it is possible to arrange 6 regiments consisting of 6 officers each of different ranks in a 6 × 6 square so that no rank or regiment will be repeated in any row or column. Such an arrangement would form a Graeco-Latin square."

Can't you see how this would be an ideal pattern for a quilt? 
I just love the mathematics of quilting!


So I started playing around with the idea as a basis for a larger project. In the original problem, you would have 6 squares of each colour displayed in a way that looks random, but isn't really.

Using a jelly Roll, you would need 15 inches (plus slack) for each colour for a block finish size of 12 inches x 12 inches (plus 1/2 inch each side seam allowance).

Nine blocks would make a good cot quilt, 35 squares a good single bed, 80 a good double or queen size, then add sashing and surrounds.


Using a Charm Pack you would need 6 squares (5 inches x 5 inches) for each colour for finished block of 27 inches x 27 inches + seam. 36 charm pieces are needed for the entire pattern (most charm packs are 42 squares worth, with two squares the same).  So buying a few packs of the same design would work wonderfully.

Using a layer cake, you would need 6 squares at (10 inches x 10 inches) for each colour. Each block would be 57 inches plus seam allowance.

It would look quite effective as an Autumn Colour Scheme.

And equally as nice as a monochromatic version.

Assembling the blocks:

What type of patchworker are you? If you are precise I would sew this quilt row by row. If not, sew four squares together to make a small block, measure and trim. Then sew another 4 together, and so on.  

But if you are not a quilter, this pattern could work equally well as a crochet blanket.

If you end up making one of these quilts based on these ideas, please leave a comment and let me know!

Enjoy!

Margaret