> Still no one knows what chemical process yields this material, what is this material, and why a small structural change in the electrolyte makes such a colossal difference in the performance<p>I read this an immediately saw a parallel with computer science. To quote from CLRS: [1] "Computer scientists are intrigued by how a small change to the problem statement can cause a big change in the efficiency of the best known algorithm". It strikes me as incredible how seemingly simple concepts can be the tip of a much bigger iceberg of complexity. Another example of this would be the proof of Fermat's Last Theorem [2] . A proposition one can understand with primary school mathematics, whose proof eluded mathematicians for centuries and required the invention of new mathematics. Sir Andrew Wiles, the person who proved the proposition, had to see deep symmetries between a plethora of domains in mathematics. The main idea that I find remarkable is the incredible complexity of the world in which we live - even the smallest of changes to a concept we think we understand (Electrochemistry, Algorithms, Mathematics), can redirect the trajectory of our understanding completely. To me, this seems as if we have only the most superficial understanding of the myriad structures and substructures of the universe. New developments in all areas of science excite me greatly purely because our understanding has been advanced that <i>infinitesimally</i> bit more.<p>[1] <a href="http://en.wikipedia.org/wiki/Introduction_to_Algorithms" rel="nofollow">http://en.wikipedia.org/wiki/Introduction_to_Algorithms</a>
[2] <a href="http://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem" rel="nofollow">http://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem</a>