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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.
As you need to return to the starting point and you can only move in cardinal directions, its just a logical step that for each move west, you must move the same amount east, as the other two directions cannot get you back to 0 on the x axis.