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I have been looking for something like this for a while, I find software calculators to be woefully inadequate for anything beyond the most basic math. Will definitely check this out!
Simply beautiful, beautifully simple idea. Takes the best of two worlds: paper and calculator.

Somehow reminds me http://strlen.com/treesheets/ I was also impressed by the creative approach to the centuries-old task.

Would be great if that had a mobile version and synced.
I usually don’t like to link to competing projects, but this seems to be only for Linux so I think I can link a similar one (as far as I can understand from the screenshots) for OS X and iOS: http://acqualia.com/soulver/
This was the first tool I thought of when I saw this. They actually look similar, too.
Looks like a close copy of Soulver to me. I think in this case it's worth mentioning.
looks interesting, I wonder if it can be ported to Windows, where I have to spend my working life :-(. For something even more sophisticated and Mathcad-like take a look at SMath Studio: http://en.smath.info/, unfortunately only free as in beer.
Neat. I'm a regular Sage user, and this seems to be an interesting tool for when I don't require the full power of that tool and just need to make some quick calculations.
Apropos nothing: I'd really like an alternative to Sage for light linear algebra work. In particular, I'm not in love with the way Sage interacts with Python.
So it does algebras and geometrys too?
Brett Victor's reactive documents http://worrydream.com/ExplorableExplanations/, may not be seminal but good nevertheless.

It should be noted that this kind of thing has been available in Mathematica, ipython etc. for literally decades.

Not that the tool is not great, it is.

Mathematica is not free and iPython is not as straightforward to use.
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Seems like either a direct copy of or bizarrely coincidental convention with the Mac/iPhone Soulver
looks neat :-) but is there any chance of a ppa for vivid?
How exactly do non-normal folk do math? am i missing something?