Wind River Beauty is the name I’ve given to my current project. I’m using the New York Beauty center (*shown below*) along with 45° diamond star arms. The overall look is of a Lone Star or Star of Bethlehem variation.

In Math Part 1 I noted that my Wind River Beauty quilt center is 17″. In fact, the block as designed by Toby Lischko finishes at 16″, which is a more typical, or perhaps more useful, size for a quilt block or medallion center. I first built it as a 16″ block according to her instructions, and then I rebuilt the orange surround to finish at the larger size. The 17″ block allowed two things. First, **it made the proportions of the block** better, once the corner treatment was added. And second, **it made the math easier** for the next stage.

### Proportion

I previously wrote about proportion in three posts (here, here, and here.) In the first post, I covered the proportions of the center block design. In the first picture, the circle is tangent to the sides of the square. The size seems to crowd the square, and may seem “too big.” In the second picture, the circle floats in the square and seems “too little” within a sea of background. The one on the right, to my eyes, seems “just right.” It is still related to the edges of the square while not touching them.

For the Wind River Beauty (my name for the quilt,) once I decided to create an octagon of the background orange fabric, I knew it would need to be larger. A slightly bigger block makes more room for the corners, without crowding the inner circle. As shown below, the width of orange is approximately the same as the width of the teal circle. If the block were 1″ smaller, the orange width would be skimpy. Overall, the proportions are better with it bigger.

### More Math

Another reason the make the block bigger is some more quilt math. The diagonal of the square is 1.414 times the length of the side. (*See the Pythagorean theorem review in the prior post for details*.) The diagonal measure of a 17″ block is 17″ x 1.414 = 24.04″, or just over 24″. Half of the diagonal, or just to the very center of the block, is 12″, which is much easier to work with than the result from a 16″ block.

Look at the illustration below of an 8-pointed star. The very fine line draws a square, representing the center block of the quilt. The square is 17″ on each side. The diagonal all the way from corner to corner is 24″. Half of the diagonal, represented by the dotted segment **B**, is 12″. Each of the star points in orange and turquoise is a 45° diamond. All four sides of a diamond are the same length. **A** is the distance along the right edge of the turquoise point. **A** and **B** are the same length, 12″. With the 12″ length I could build out the star with relatively easy piecing.

As mentioned before, the design of the quilt is a variation of a Lone Star or Star of Bethlehem quilt. The sketch from EQ8 below gives a glimmer of how this will work. On this picture I drew two squares the same size. One is rotated 45° from the other, around the center point. You might be able to see that the octagon formed by the overlap is marked with a heavier line.

If you compare the illustration with my center block above, you can see that the corners of my center block, in purple, are like the corners beyond the octagon.

In the next post on this quilt, and past most of the math, I’ll show you next steps for construction.