I accomplished this by building a unique iOS game that uses animated gifs for jigsaw puzzles. I wrote the app several times, and after giving it enough time, I was able to incorporate functional and generic programming concepts to reduce my code down to less than 1,000 lines.

I also ditched my resume because I didn't have substantial previous experience developing software (just 3 months) nor a degree of any sort. I just took videos of all my apps and put them up on a dead simple github pages site: https://danielhhooper.github.io

I interviewed and accepted an offer the following week.