In October 2023 Ryan Hudgens (aka OreKehStrah) proposed and developed Nautilus for Square-1
The method is based on the Nautilus method for 3x3 and includes variants similar to those included in the 3x3 method.
https://docs.google.com/spreadsheets/d/1DBdLGCWmVlNifwtq8ijIb_Rjim9IK9PC62YxrLCpQ3U/edit?usp=sharing
https://discord.com/channels/885722463521103892/885730075541135371/1158447492229255348