The half square triangle unit is probably the most commonly used patch in a quilt block -- well it is second only to the square. It is made simply with two triangles, filling up half the square each -- hence the name. Take a quick look through this website, or in any quilting magazine, and you will start to notice that this half square triangle, regardless of its size, is present in more quilts than not.
Free Quilt Block Pattern
The Homespun quilt block is comprised of three common patches -- the flying geese patch, half square triangles and the square.
You might notice that the Homespun block looks familiar. It has similarities to other blocks -- the Cups and Saucers block and the Hands of Friendship block, but on closer inspection you will see the subtle differences.
Other than the quilt layouts illustrated here, you might also look to the other two patterns mentioned above for inspiration for other setting designs of your quilt.