What if there were an offline client where you could enter your words into your pattern, and each word that you enter is replaced randomly with another.

If the grid was randomly generated and the changed words also randomly replaced, how would that reduce entropy?

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I don't understand you. If you swap your words in your pattern with random words, how do you recover them from the pattern later?

OK, so I generate a random grid. I start my pattern at 120A which has a word "satoshi" there. The first word in my seed is "cat". The client swaps the word from wherever "cat" was, and replaces "satoshi" to its position.

Once you have input all seed words, this becomes the new grid.

Do you play any card games? Poker?

If I shuffle a deck of cards and then place specific cards in specific places, would you still want to play cards against me? Would you go all in with your sats against me?

I'll admit I don't know enough about entropy. But is that analogy accurate?

Electrum generates a random phrase, the grid generates a random grid, then I put a random shape with my seed words somewhere.

Anyway, you're probably right.

I like the idea of BW, but it needs to be better for using an already generated seed to keep TX off chain. Its not so intuitive to me.

I might try it with an overlay, like a piece of paper with holes that sits on top of the grid and points out its order. Storage of course would need to be kept separately to the grid.