
Gödel, Escher, Bach
Douglas Hofstadter connects mathematics, art, music, and consciousness by tracing recurring patterns across them.
POEM + AUTOMATON
AUTHOR NARRATION
Read by the author in the original English.
LIVE CELLULAR AUTOMATON
Start with one black cell. Let Eight neighborhoods. One next cell.Before the arrow: the left, center, and right cells in the current generation.111 → 0110 → 0101 → 0100 → 1011 → 1010 → 1001 → 1000 → 0After the arrow: the center cell in the next generation. grow the pattern row by row. Rule 30 is only one of 256 possibilities: try any number from 0 to 255.
Rule 30000111102(outputs from 111 to 000)
THE OBJECT IN THE POEM

/media/rule-30/rule-30-shell.jpgThe natural markings of Conus textile are often compared with the triangular pattern produced by Rule 30.

/media/rule-30/beach-week-rule-30-art.jpgA sketch of the Rule 30 shell drawn for me by my friend S.G.
Photograph: Richard Ling / Wikimedia Commons (GFDL).
THE SUMMER READING LIST

Douglas Hofstadter connects mathematics, art, music, and consciousness by tracing recurring patterns across them.

Marcus du Sautoy tells the story of the search for hidden order in the seemingly irregular distribution of prime numbers.

Guy Deutscher shows how languages accumulate complexity over time without an overall plan or designer.
Covers and bibliographic records: Open Library.
DISCOVERED IN TRANSLATION
This is a genuine mistake I made out of my own ignorance of language when the book was first published—one I discovered while preparing the French translation.
ORIGINAL TEXT
cool as a sunning seel was this bizarre
CORRECTED TEXT
cool as a sunning seal was this bizarre
WHAT I DIDN’T KNOW
I had mixed up the spellings of words I believed were homophones. I knew that a “seal” could be an emblem or impression pressed into wax, as on an envelope, but I mistakenly thought that sense was spelled “seel.” I therefore thought I was creating a deliberate double image: the animal sunning itself and a kind of signet or crest sitting in the sun. In fact, both the animal and the wax impression are spelled “seal.” “Seel” is an unrelated, obscure falconry verb for closing a hawk’s eyes. The wordplay I thought I was constructing was built on a spelling distinction that does not exist.
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