I was trying to write a post about art with squarable numbers, and so I thought quilting a Mrs. Perkins' Quilt might be a nice addition to the exploration. With 1500 words almost ready to hit send, I ended up down a rabbit hole. This post is rather long and has a lot of data, so bear with me, or skip it. I will have an artsy post with a quilt in the next week. Please note, this post will get updated as I work through the problem. The update on the quilt is here . The quilt: Ok, first off, Mrs Perkins' quilt is a lovely math problem. The challenge is to slice a square of side n into smaller squares with integer side lengths, use the fewest squares possible. The website squaring.net has a lot more on the problem, including the original wording, and Wolfram has a demonstration to explore. "For Christmas, Mrs. Potipher Perkins received a very pretty patchwork quilt constructed of 169 square pieces of silk material.…