Literally, it's a structure that tells rails to group all the submissions together in a single hash table so you can walk through them one at a time.
So in this case, the hashtable 'album[][]' is double indexed. By not putting an explicit index number for the second item in the hash (indicated by the open and closed brackets after [photo_attributes]), rails knows to join all the submissions with that hash name (albums) and first index value (photo attributes) together into a single hash table where the object associated photo_attributes is an array. Each entry in this array is a hash with a value at the index :data.
## From the code on that page
params[:album][:photo_attributes]
#This turns out to be an array of hashes. Each hash has one key/value pair in it. The key is "data" and the value is the file information. Example:
{"data"=>#<File:/var/folders/56/56dUsTxtHaKheeiHSoaE1++++TI/-Tmp-/CGI20081216-17582-14p6wd2-0>}
params[:album][:photo_attributes].each { |p| p[:data] } # this is a loop that would get you the data for each photo submitted.