Here's, on the other hand, an interesting take on the subject:
What's the most difficult musical piece to perform?
It's a tricky question. One could see "difficulty" in many ways. For instance, playing Rachmaninoff concertos for piano can be recognized as hard, but one must remember he composed for himself and his hands were far larger than average for the time. Now is far less rare due to an increase in the pool of people with big hands (Diets and phenotypical selection in the past 100 years of people) that play the piano.
The same goes with Violin, when Paganini wrote his 24 Caprices for Solo Violin. Back then - 1800's - he was the only person that could play them. As time passed by more people appeared an the technique was refined. Yet the difficulty has remained the same and even some self-taught musicians can do it now.
As a side note: Something similar happened with perspective and drawing. Although it existed mathematically formalized since the ancient Greeks, it wasn't until the episode of Filippo Brunelleschi and the episode of the Battistero di San Giovanni -1401- that modern perspective appeared.
Now we have kids that can paint perspective without instruction, I'll explain the importance of this fact.
Back on topic.
One could say Black midi is the most difficult piece.
Is literally including musical patterns in a piece until the sheet goes black. Only possible to perform by a computer or large numbers of organized people. Although it supports almost unlimited difficulty, people won't accept computational difficulty or even unperformable difficulty. So what people enjoy is the Conceptual difficulty.
We call this "Virtuoso" performance. The conceptual unfamiliarity of something Complex enough to challenge us but not too complex, or it would send us into the uncanny valley.
"Virtuoso" performance is extremely relatable to scientific-genius and is an interesting case study due to this:
There is an almost complete lack of relatable virtuoso performance available for most people
Lucas Debarge is a perfect example of this. He's a self-taught pianist. Although is not rare to find "good" self-taught musicians is extremely rare to find World Class pianists that are self-taught. Even more, Pianists that started playing at 21 years old like he did.
A genius! -some cry- he was gifted.
Yet is hard to say this when he tried to play the piano at 11 years old and abandoned it because since he recognized it he wasn't any good back then and had started too late.
Unlike medical cases of "Idiot Savants" or due to a head trauma, his skills are the fruit of hard work. What changed his life, from a literature student and supermarket cashier, into a Virtuoso was a single piano exercise he saw performed by an expert. He doesn't even have his own piano. That public display of virtuoso performance that was relatable was enough to show him all he needed to start.
Back when he tried the piano as a child he abandoned it because he told himself
-What's the point of this. I suck and I don't have a good teacher.
His case although rare is not exceptional. Is not rare that in that small subset of self-learners a single encounter, not even with a teacher -although sometimes it's a good teacher- is enough to show them the way. By them being able to see a single act of Virtuoso performance.
When people say: "Art changes you" they are partially correct. Just like with the kids that by pure exposure to T.V., pictures, drawings culturally available now can grasp and imitate perspective.Something the genius of the ancient times never could is now within their reach.
Fayerband's take on gamification, like most anarchism, centers on seriousness and purpose harnessed for freedom, as natural and part of the "nature" of play.
My take is not even remotely close to that. Respecting or seeing anything like that. My take on Gamification is purely of Mathematical Game Theory: incentives for the existence, spread or death of an activity. That's the problem someone is gonna solve soon and is more of an economic problem than of philosophy or psychology.
What I'm interested in, is in publicly available displays of Virtuoso performance at a constrained yet vast group of subjects. Undergraduate Maths and physics..