illinois

Just saying --be careful what angle your ruler gives you. I made several of the kaleidoscope quilts and made the mistake of getting the TriRec ruler. The angle is not correct for those! There is a pattern included with the TriRec that is good for those rulers though. The angle of the triangle/ruler will determine how many "blades" it takes to make the full circle.

bearisgray

Can/Will you post a sketch of what you have in mind.

I learned, the hard way, that the triangle in a square unit has different angles that 30-60-90 and 60-60-60!

Attached is a drawing of the triangle in a square unit with the angles to the nearest thousandth of a degree.

360 divided by 7 equals 51.429 degrees, so the Tri-Recs ruler is not appropriate for a circle evenly divided by 7. The "center angle" of the larger ruler is approximately 53.130 degrees, which multiplied by 7 equals approximately 371.910 degrees.

L'il Chickadee

I have zero experience with sewing isosceles triangles. So my approach would be to draft a couple of the triangles on graph paper, add seam allowances, cut out, sew together (with dull needle from my quilt lab/paper sewing needle stash) to check for any problems, then proceed from there.
Fell in love with the Alaska quilt by Edyta Sitar and bought her pattern and Eleanor Burns' Kaleidoscope II pattern to do a practice piece. However, these make a circle, totally different animal than the isosceles used here for your pillow.
Oh! The math!! Everything ends up with the math. But I guess it's the mental challenge of quilting that always keeps us coming back for more.

Onebyone

Quilt in a Day has the ruler made for this. https://www.quiltinaday.com/shoponline/ruler/702
I used it to make the Pieces of Life quilt several years ago and I never lost a point. There is a video of how to use it at the link.

bearisgray

I agree that there are four rows.

It looks to me like there are 6 trees in the top row, 5 in the second row, 6 in the third row, and 5 trees in the bottom row. (If I were making it, I would have 6 trees in the bottom row, and a 5 tree row on the top.)

I think the maker used cording around the edge of the pillow.

I think the ratio that would work would be a width to height ratio of 2:3.

Example, If the base of the triangle is two inches, the height would be 3 inches. (2 x 6 = 12 for the width and 4 x 3 = 12 for the height)

Base - 2.5, Height - 3.75 (2.5 x 6 = 15 for the width, and 4 x 3.75 = 15 for the height)

Base - 3, Height - 4.5 ( 18 for the width, 18 for the height)

You can change the ratio to whatever looks attractive to you.

The triangle-in-a-square tool/ruler (Tri-Recs), the base of the "fat" triangle is equal to the height.

I have attached another drawing for comparison of the triangles, using 3.75 inches for the height.

Remember to add seam allowances! Dimensions do not include seam allowances.