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"All this time we’ve been writing expressions in 1D space, but what happens when we unlock an extra dimension?"

Text is a serialization of an n-dimensional work space. "N-dimensional" doesn't have a formal definition I'm aware of but the major characteristic of it is that a new dimension can pop up anywhere. If you feel like you want to double-click on that, you can see my earlier comment here: https://news.ycombinator.com/item?id=35096647

A conventional textual language can represent everything mentioned there, whereas 2D layouts struggle almost immediately to represent things that textual layouts represent quite easily.

It can still be a useful "see the world differently" exercise, but it's the opposite of "freeing your mind"... it's stepping into a fairly small subset of functionality, albeit an unconventional one, and seeing what you can still manage to do even so. Rather than "unlocking a new dimension" it's actually throwing away n-2 of them. The experience of using this for any period of time would reveal this, as it would be a constant struggle to represent even very simple algorithms in this format.

I post this mostly because of the "familiarity breeds contempt" effect that programmers seem to get hit with for text. There is a reason we use text and it's not lack of imagination or being stuck in our ways... it is actually an incredibly rich and powerful format that poses a serious challenge for any alternative to overcome because of the astonishing combination of compactness combined with representational power.

A certain subset of programmers apparently just really, really hate this whole messy concept of "thinking about things".

Text works and is hard because it's a projection of a mental representation. The whole reason we can work with N-dimensional structures in text is because the dimensionality lives in the programmer's head. There isn't really any other way to represent say a >3 dimensional array other than laboriously flattening it into text and expecting the next guy to rotate the hypercube in his mind. That's neither a good nor bad thing, it's purely a fact of our 3+1 dimensional universe.

A shocking number of problems can be best represented in higher dimensions and there's simply no way to encode that information losslessly. Being simple 3D creatures (I'd argue 2D in fact) the only way to do that is by projecting it down into a lower-dimensional space.

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1D languages encode these relations grammatically. There is no reason why a 2D language couldn't also be grammatical. Sure it is harder to write a 2D parser perhaps, but people have still played with the idea a little bit. There is just no huge economic incentive to do so other than simple aesthetics.