I don't know what possessed me. I was at my Wednesday UFO group at Eddie's Quilting Bee and had planned to work on my Posh Basket blocks. Somehow I had left my half square triangles at home and had to start over and make some more. The book I am using for the block pattern, Basket Bonanza, is a Patchwork Place publication. Patchwork Place is owned by Nancy Martin, a well known quilter and author, whose favorite method of constructing half square triangles is something she called "Bias Squares". All the Patchwork Place publications show this method for making HSTs. I had succumbed to trying this technique about ten years ago and swore I would never do it again. But I did.
First you take two 8 inch squares and layer them right sides both up. You cut it in half diagonally, then move your ruler over 2 1/2 inches and cut again on either sides of the center cut.
Then you alternate the contrasting sections and sew two units as shown below.

Here is one unit all sewn together.
I evened out the left hand edge.
You then use a special ruler created for cutting perfect half square triangle units. There are at least two of them out there, one is called The Bias Square Ruler and the other is The Precision Trimmer. Both tools have diagonal lines to help you get the exact 45 degree seam line angle you need for a perfect half square triangle.
Being a woman who is somewhat spatially challenged, I stared at this unit for quite a while trying to figure out what to do with it next.
My instincts told me to just line the darn ruler up at the 2 1/2 inch mark, with the diagonal line perfectly matched up with the seam line, but noooooooo. That isn't what the book said to do. The instructions in the book had me cut strips first and then cut my half square triangles. Why?
This seemed like a totally useless step to me. At any rate, you can get four extremely accurate, perfect half square triangles out of each of the striped units, eight total out of the two units.
I started this at 10:00, and by 11:30 I had produced four excellent, perfectly beautiful 2 1/2 inch half square triangles. My friends, all extremely talented and experienced quilters were all laughing at me. "Show us again how you did that?" "Why do you want to do it that way?" "I have never heard of anyone doing it like that!" This led to a lively discussion, you can be sure.
After lunch, I went back to the cutting area and followed my instincts and just whacked out the half square triangles without doing the (to me) unnecessary strip cutting step. I did get faster at it and finished cutting the 40 units in a half hour or so.
I know we have talked about how we make our half square triangles before. There are SO many ways to go about it: triangle paper, triangle strips, the Easy Angle ruler, the Angler 2, or (imho the worst method) cutting tons of triangles and sewing them together. The method I keep going back to is the one where you cut 2 7/8 inch squares, draw a diagonal line and sew on each side of your drawn line, then cut on the line for two 2 1/2 inch half square triangle units. Low tech for sure, but all you need is a pencil and a ruler.
Does anyone out there like making half square triangles in the manner I have illustrated today? Do you get faster at it? Is it the accuracy thing that makes it attractive to you? I am willing to be convinced, so talk to me.
Added later: I also read in the Basket Bonanza book that you should use up ALL the leftover fabric by making 1 inch half square triangles out of the remaining fabric and save them up to make a scrap quilt out of all the teensy little half square triangles. Right. I will be doing that for sure.