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Python 3.6

def Collatzletter():
    global tocollatz
    operations=0
    agustment=0
    convert={'a':'bc','b':'a','c':'aaa'}
    while len(tocollatz)>1:
        tocollatz=tocollatz[2:]+convert[tocollatz[0]]
        operations+=1
        agustment+=2
        print(tocollatz.rjust(len(tocollatz)+agustment,' '))
    print ('Wow!, that took ' + str(operations)+" times to get to just 'a'")

The Collatz thing with a, b and c. Ialso added in a counter (named operations) where it counts how many times it has to happen to reach only 1 a and I added in a rjust which makes it look like how it does on the wikipedia site in the description.

My output for aaa:

aaa
  abc
    cbc
      caaa
        aaaaa
          aaabc
            abcbc
              cbcbc
                cbcaaa
                  caaaaaa
                    aaaaaaaa
                      aaaaaabc
                        aaaabcbc
                          aabcbcbc
                            bcbcbcbc
                              bcbcbca
                                bcbcaa
                                  bcaaa
                                    aaaa
                                      aabc
                                        bcbc
                                          bca
                                            aa
                                              bc
                                                a
Wow!, that took 24 times to get to just 'a'
/r/XTRAclan Thread Link - youtube.com