To clarify, the "box" is any UNIX computer (very well suited for Raspberry PI devices, since the wifi can act as a hotspot), and the "internet" consists of all the best FOSS apps and open content that get served from localhost, see full list here:
http://wiki.laptop.org/go/IIAB/FAQ#What_services_.28IIAB_app...The use case is to make apps/content/tools normally requiring internet accessed work offline (either on localhost or local area network). In practice, using IIAB goes a little something like this:
1. find device (the more storage the better)
2. install free software on device using IIAB scripts
3. download free content (various content packs)
4. deploy device anywhere in the world to enjoy
all the FOSS and free content on local network
The IIAB scripts make installation and download setup fully automatable (battle-tested Ansible scripts
https://github.com/iiab/iiab/tree/master/roles ), which is exciting because you can provision "learning server" devices very easily.