A variation of ais523's DownRight that sort of treats the matrix as 1D array and has no requirement for program dimension co-primality. As this was not a very serious project and did not take all that much effort, I cannot be bothered to make a proper page for this.
See the esowiki article for description, Turing-completeness proof, LDR to Cyclic Tag translation: https://esolangs.org/wiki/Liquid_DownRight
-- Keymaker, 25.4.2026