How can you build yours? Take a look at these resources about PWA (progressive Web apps), AMP (accelerated mobile pages) and PWAMP (the combination of PWA with AMP):
You can combine PWA with AMP in many different ways: Enabling PWA features in your AMP pages, as well as embed and use AMP as a datasource within a PWA or preload your PWA from your AMP pages. Here you have more information about each type and how to combine them:
Examples and Demos
Do you have or know of PWA or PWAMP resources that you would like me to add here? Send me a tweet.