Using code for recreational word play is very fun. Having fun with a housemate we drunkenly built a list of all 4- and 5- sided SATOR squares.
These squares are special because they read the same left-to-right, top-to-bottom, and both directions in reverse. The famous one is an ancient one from Latin
In the ancient world these were used both as magic spells and possibly the first memes. They pop up all over Western history, and into today: the movie Tenet is a reference to this square.
‘assam’, ‘shama’, ‘sagas’, ‘amahs’, ‘massa’
‘assam’, ‘shama’, ‘samas’, ‘amahs’, ‘massa’
‘assam’, ‘shaya’, ‘sagas’, ‘ayahs’, ‘massa’
‘assam’, ‘shaya’, ‘samas’, ‘ayahs’, ‘massa’
‘asses’, ‘slive’, ‘simis’, ‘evils’, ‘sessa’
‘asses’, ‘slive’, ‘siris’, ‘evils’, ‘sessa’
‘asses’, ‘state’, ‘sagas’, ‘etats’, ‘sessa’
‘asses’, ‘state’, ‘samas’, ‘etats’, ‘sessa’
‘asses’, ‘stime’, ‘simis’, ’emits’, ‘sessa’
‘asses’, ‘stime’, ‘siris’, ’emits’, ‘sessa’
‘asses’, ‘swone’, ‘solos’, ‘enows’, ‘sessa’
‘ayahs’, ‘yrneh’, ‘anana’, ‘henry’, ‘shaya’
‘cares’, ‘amene’, ‘refer’, ‘enema’, ‘serac’
‘dedal’, ‘enema’, ‘deked’, ‘amene’, ‘laded’
‘dedal’, ‘enema’, ‘deled’, ‘amene’, ‘laded’
‘dedal’, ‘enema’, ‘dered’, ‘amene’, ‘laded’
‘dedal’, ‘enema’, ‘dewed’, ‘amene’, ‘laded’
‘derat’, ‘enema’, ‘refer’, ‘amene’, ‘tared’
‘gater’, ‘amene’, ‘tenet’, ‘enema’, ‘retag’
‘gnats’, ‘nonet’, ‘anana’, ‘tenon’, ‘stang’
‘hales’, ‘amene’, ‘lemel’, ‘enema’, ‘selah’
‘hales’, ‘amene’, ‘level’, ‘enema’, ‘selah’
‘laded’, ‘amene’, ‘deked’, ‘enema’, ‘dedal’
‘laded’, ‘amene’, ‘deled’, ‘enema’, ‘dedal’
‘laded’, ‘amene’, ‘dered’, ‘enema’, ‘dedal’
‘laded’, ‘amene’, ‘dewed’, ‘enema’, ‘dedal’
‘lares’, ‘amene’, ‘refer’, ‘enema’, ‘seral’
‘massa’, ‘amahs’, ‘sagas’, ‘shama’, ‘assam’
‘massa’, ‘amahs’, ‘samas’, ‘shama’, ‘assam’
‘massa’, ‘ayahs’, ‘sagas’, ‘shaya’, ‘assam’
‘massa’, ‘ayahs’, ‘samas’, ‘shaya’, ‘assam’
‘pelas’, ‘enema’, ‘lemel’, ‘amene’, ‘salep’
‘pelas’, ‘enema’, ‘level’, ‘amene’, ‘salep’
‘resat’, ‘enema’, ‘sedes’, ‘amene’, ‘taser’
‘resat’, ‘enema’, ‘seles’, ‘amene’, ‘taser’
‘resat’, ‘enema’, ‘semes’, ‘amene’, ‘taser’
‘resat’, ‘enema’, ‘seres’, ‘amene’, ‘taser’
‘resat’, ‘enema’, ‘sexes’, ‘amene’, ‘taser’
‘retag’, ‘enema’, ‘tenet’, ‘amene’, ‘gater’
‘salep’, ‘amene’, ‘lemel’, ‘enema’, ‘pelas’
‘salep’, ‘amene’, ‘level’, ‘enema’, ‘pelas’
‘selah’, ‘enema’, ‘lemel’, ‘amene’, ‘hales’
‘selah’, ‘enema’, ‘level’, ‘amene’, ‘hales’
‘serac’, ‘enema’, ‘refer’, ‘amene’, ‘cares’
‘seral’, ‘enema’, ‘refer’, ‘amene’, ‘lares’
‘sesey’, ‘edile’, ‘simis’, ‘elide’, ‘yeses’
‘sesey’, ‘edile’, ‘siris’, ‘elide’, ‘yeses’
‘sesey’, ‘elide’, ‘simis’, ‘edile’, ‘yeses’
‘sesey’, ‘elide’, ‘siris’, ‘edile’, ‘yeses’
‘sessa’, ’emits’, ‘simis’, ‘stime’, ‘asses’
‘sessa’, ’emits’, ‘siris’, ‘stime’, ‘asses’
‘sessa’, ‘enows’, ‘solos’, ‘swone’, ‘asses’
‘sessa’, ‘etats’, ‘sagas’, ‘state’, ‘asses’
‘sessa’, ‘etats’, ‘samas’, ‘state’, ‘asses’
‘sessa’, ‘evils’, ‘simis’, ‘slive’, ‘asses’
‘sessa’, ‘evils’, ‘siris’, ‘slive’, ‘asses’
‘shaya’, ‘henry’, ‘anana’, ‘yrneh’, ‘ayahs’
‘stang’, ‘tenon’, ‘anana’, ‘nonet’, ‘gnats’
‘start’, ’tiler’, ‘alula’, ‘relit’, ‘trats’
‘tared’, ‘amene’, ‘refer’, ‘enema’, ‘derat’
‘taser’, ‘amene’, ‘sedes’, ‘enema’, ‘resat’
‘taser’, ‘amene’, ‘seles’, ‘enema’, ‘resat’
‘taser’, ‘amene’, ‘semes’, ‘enema’, ‘resat’
‘taser’, ‘amene’, ‘seres’, ‘enema’, ‘resat’
‘taser’, ‘amene’, ‘sexes’, ‘enema’, ‘resat’
‘trats’, ‘relit’, ‘alula’, ’tiler’, ‘start’
‘yeses’, ‘edile’, ‘simis’, ‘elide’, ‘sesey’
‘yeses’, ‘edile’, ‘siris’, ‘elide’, ‘sesey’
‘yeses’, ‘elide’, ‘simis’, ‘edile’, ‘sesey’
‘yeses’, ‘elide’, ‘siris’, ‘edile’, ‘sesey’
To generate them yourself (and the fours), here is code that you can run by pressing Play.
https://colab.research.google.com/drive/14gaONdrLuxc3Pzz6M8y1RWpTLIdLY7H0?usp=sharing
For words we used the official Scrabble list. The tests are hard to read but they check the symmetries of the square.
The next challenge would be to build a SATOR cube (filled or hollow—n slices of cube or a cube with one square on each face). Probably there are none in 5 letters (if there are any, I’d guess there is just one), a couple in 4 letters, and several in 3 letters, with filled obviously more rare than hollow.
Another challenge would be to find words that I want to include that aren’t on the Scrabble list and see if they change anything.