Thanks for that - first time i hear this term 'elegance', in relation to abstracts.
I want to understand these things more, and as i have neither the brain nor the language to pursue such enquiries (it's always been an intuitive and experiential process for me) i'm grateful for all info, and specific words, such as you have just provided.
How come you are familiar with such a quaint term as 'an elegant algorithm'...
The way you described it, as
"An elegant algorithm or equation can express a complex problem in a seemingly simple, almost obvious seeming way. But producing results like that takes a degree of genius in being able to understand the relationship between many disparate moving parts"
reminded me of this micro-poem by he Italian poet Ungaretti:
M'Illumino D'Immensso
meaning something like 'I'm illuminated by The Immense', or 'I illuminate myself with The Immense'. The seeming paradox again, ode to complexity, simply expressed, ALL complexity in 7 syllables.
All my (feeble) lines of examination and attempts to understand these things begins with and ends at 'consciousness' too and i've sort of always associated it with and confined it to individual efforts in metaphysics, philosophy or mysticism. And in art, of course.
It would be incredible, if there could be a broader 'scientific' understanding of consciousness itself, in our lifetime.