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(+1)

potential improvements: smooth rotating instead of stepped. and can they auto snap together?

Great idea! But what exactly do you mean by auto snap? Option for it to just give you animation of tiles connecting on their own, or not letting you do incorrect connections?

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The way you have it stepped makes it easy to align. If it had smooth rotate might be harder to align. 

Oh, they do already kinda snap together. Nvm!

Other ideas:

-more colors

-maybe scroll for zoom in addition to the [+][-]

-AutoTile: auto fill the viewport complety with tiles, perhaps with random colors

Ah, this kind of smooth rotation. I think this will add unnecessary problem of trying to align tiles just the right way

Problem with autotile is that in case of hat tiles there's restricted amount of ways of connecting them. And so if player have made any mistakes, autotile would fail and make only more mistakes
So either player must be restricted from making impossible connections or program must first check for any mistakes and refuse to continue or potentially just give you a hot mess in result
But Ill save this idea for potential future!

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“Every tiling by Spectres is closely related to a tiling with a sparse distribution of hats lying within a dense field of turtles, and one with a sparse distribution of turtles lying within a dense field of hats.” - A chiral aperiodic monotile

(+1)

l want to add option to change tile's characteristics however you want at some point, but it'll take quite some effort and I just prefer the look of Tile(1,√3) myself

It's a nice tile. I'd like to use these tiles as asteroids for my game but the physics engine only support convex bodies. Where as the hats and turtles are concave. I think I can glue 2 or more concave bodies to make a convex body. In theory...

I believe there is no way to connect hats into convex body, sadly