The quines are not simulating each other, they are just printing a string after some formatting (which usually involves embedding a copy of the string into itself). There's no Turing completeness needed (most of the quines don't even have branches), much less Gödel encodings.
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The quines are not simulating each other, they are just printing a string after some formatting (which usually involves embedding a copy of the string into itself). There's no Turing completeness needed (most of the quines don't even have branches), much less Gödel encodings.
There's (at least) one language in quine-relay that's not that simple: Piet. It's a visual 2D language written as an image file.
https://www.dangermouse.net/esoteric/piet/samples.html