Bernard Leslie Moss of Kent UK, born 1942, has for the last 40 years been doing extensive research on Squared Rectangles & Squares and has even written a 460 page book on the subject (not published). Until recently he had found about 60 SPSS Solutions (not listed on the Internet). Bernard has been using a method he calls "SWITCH-LINK", which is a transformation of an existing SPSS (or two SPSSs), into a new one. There are many such methods, called transform techniques, which were quite popular in the 1940s, through to the 1990s. Transform techniques were the main method used to create new squared squares for many decades until the development of computer technology allowed complete orders of squared squares to be enumerated by amateurs and researchers. Bernard is using computer hardware and spreadsheet software to turbo charge the search for new SPSSs using transform techniques.
2018 Bernard Moss using a transform technique, found 21,097 SPSS from order 44 to 116 using Brian Trial's 2014 discoveries.
2020 Bernard Moss using another transform technique, with assistance from Stuart Anderson, found over 2.3 million SPSS from order 48 to 85 (plus a few of higher orders) by amalgamating pairs of Jim Williams' 2013 & 2014 discoveries.
Bernard has authored a book, which contains many his ideas, methods and discoveries in squared squatres and squared rectangles. Bernard's' fascination in this subject began by reading Martin Gardner's "More Mathematical Puzzles and Diversions".