Autogram

An autogram (Ancient Greek: αὐτός = self, γράμμα = letter) is a sentence that describes itself in the sense of providing an inventory of its own characters. They were invented by Lee Sallows, who also coined the word autogram.[1] An essential feature is the use of full cardinal number names such as "one", "two", etc., in recording character counts. Autograms are also called 'self-enumerating' or 'self-documenting' sentences. Often, letter counts only are recorded while punctuation signs are ignored, as in this example:

This sentence employs two a's, two c's, two d's, twenty-eight e's, five f's, three g's, eight h's, eleven i's, three l's, two m's, thirteen n's, nine o's, two p's, five r's, twenty-five s's, twenty-three t's, six v's, ten w's, two x's, five y's, and one z.

The first autogram to be published was composed by Sallows in 1982 and appeared in Douglas Hofstadter's "Metamagical Themas" column in Scientific American.[2]

Only the fool would take trouble to verify that his sentence was composed of ten a's, three b's, four c's, four d's, forty-six e's, sixteen f's, four g's, thirteen h's, fifteen i's, two k's, nine l's, four m's, twenty-five n's, twenty-four o's, five p's, sixteen r's, forty-one s's, thirty-seven t's, ten u's, eight v's, eight w's, four x's, eleven y's, twenty-seven commas, twenty-three apostrophes, seven hyphens and, last but not least, a single !

The task of producing an autogram is perplexing because the object to be described cannot be known until its description is first complete.[3][4]

  1. ^ Cite error: The named reference quest was invoked but never defined (see the help page).
  2. ^ Hofstadter, D.R. "Metamagical Themas" Scientific American, January 1982, pp 12–17
  3. ^ Hofstadter, D.R., Metamagical Themas: Questing for the Essence of Mind and Pattern, 1996, p. 390–92, Basic Books, ISBN 978-0-465-04566-2
  4. ^ Letaw J.R. Pangrams: A Nondeterministic Approach, Abacus, Vol 2, No 3, Spring 1985, pp 42–47