I think it would be good to start a repository of small examples that highlight Julia’s strengths, which could be pulled for use in outreach talks or browsed online.
For example, in my Why Julia? talk I use an example from @andreasnoack of linear algebra over a Galois field. It illustrates how to define a new numeric type, in about twenty lines of code using metaprogramming, and then how Julia’s standard linear algebra libraries “just work” when applied to matrices over that type.
I never would have cooked up this example myself, but it’s just terrific for showing how easy extensibility is in Julia. It would be really cool to have a collection of such examples highlighting different strengths.
What’s the right technology for this? A github repository of Julia notebooks, each a single annotated example? A list of links to things posted elsewhere?