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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
Get started now by creating a new collection.
This seems like recursive-math thinking to me; and translating it into code is trivial. It's the base for dynamic-programming algorithms, I think.
:(, I personally never caught this math thinking skill. But it's great, inspiring; if I see some more of these, I may be able to catch this thinking-technique myself :).