# What texts or images have we found in pi?

**URL:** <https://boards.straightdope.com/t/what-texts-or-images-have-we-found-in-pi/689378>\
**Category:** Factual Questions\
**Created:** [May 27, 2014, 3:45pm UTC](https://boards.straightdope.com/t/what-texts-or-images-have-we-found-in-pi/689378 "2014-05-27T15:45:36Z")\
**Posts on this page:** 7\
**Page:** 4

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**Author:** ![Learjeff](https://avatars.discourse-cdn.com/v4/letter/l/94ad74/32.png) [@Learjeff](https://boards.straightdope.com/u/Learjeff)\
**Post date:** [May 28, 2014, 5:09pm UTC](https://boards.straightdope.com/t/what-texts-or-images-have-we-found-in-pi/689378/61 "2014-05-28T17:09:44Z")

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> [@septimus](#):
>
> as well as trillions of faulty versions of Rush’s _Rise and Fall_ in which 9-11 _was_ a CIA plot and Sarah Palin becomes President in 2010.

Oh the horrors! :-o

> [@Indistinguishable](#):
>
> For what it’s worth, it’s possible that π is not normal but still contains every finite string of digits in its decimal expansion (i.e., that it is “disjunctive”). Not that anyone has any particular reason to suspect this, but it could happen…

Good point. Any random digit distribution satisfies the requirement, as do some nonrandom ones (like the Champernowne constant mentioned above).

Disjunctive is the property that makes the premise true by definition.

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**Author:** ![Indistinguishable](https://avatars.discourse-cdn.com/v4/letter/i/90ced4/32.png) [@Indistinguishable](https://boards.straightdope.com/u/Indistinguishable)\
**Post date:** [May 28, 2014, 6:05pm UTC](https://boards.straightdope.com/t/what-texts-or-images-have-we-found-in-pi/689378/62 "2014-05-28T18:05:47Z")

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> [@Learjeff](#):
>
> Any random digit distribution satisfies the requirement, as do some nonrandom ones (like the Champernowne constant mentioned above).

Minor nitpick, but the Champernowne constant _is_ normal.

(One concrete example of a non-normal, disjunctive number in base b is given by taking the Champernowne constant in base (b + 1) and identifying two of its digits to get a base b digit-sequence where everything shows up, but one digit appears twice as often as the others).

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**Author:** ![brujaja](https://avatars.discourse-cdn.com/v4/letter/b/4af34b/32.png) [@brujaja](https://boards.straightdope.com/u/brujaja)\
**Post date:** [May 29, 2014, 1:37pm UTC](https://boards.straightdope.com/t/what-texts-or-images-have-we-found-in-pi/689378/63 "2014-05-29T13:37:53Z")

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Reading all of this, I become idly curious as to whether the endless iteration of pi could be correlated in any way to the GATC sequences in DNA, with some kind of scheme for having the four letters represent all ten digits by, say, changing their value depending on their neighbors.

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**Author:** ![cmyk](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/cmyk/32/3353_2.png) [@cmyk](https://boards.straightdope.com/u/cmyk)\
**Post date:** [May 29, 2014, 1:42pm UTC](https://boards.straightdope.com/t/what-texts-or-images-have-we-found-in-pi/689378/64 "2014-05-29T13:42:44Z")

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> [@brujaja](#):
>
> Reading all of this, I become idly curious as to whether the endless iteration of pi could be correlated in any way to the GATC sequences in DNA, with some kind of scheme for having the four letters represent all ten digits by, say, changing their value depending on their neighbors.

You could simply assign a letter to multiple digits, like so:

G=1,2,3 T=4,5 C=6,7,8 A=9,0

Granted the base-pairs wouldn’t have equal representation though, unless you assigned each letter two digits and rotated the 9 and 0 between them consecutively.

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**Author:** ![Chronos](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/chronos/32/134_2.png) [@Chronos](https://boards.straightdope.com/u/Chronos)\
**Post date:** [May 29, 2014, 2:47pm UTC](https://boards.straightdope.com/t/what-texts-or-images-have-we-found-in-pi/689378/65 "2014-05-29T14:47:23Z")

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Or just express pi in base 4.

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**Author:** ![cmyk](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/cmyk/32/3353_2.png) [@cmyk](https://boards.straightdope.com/u/cmyk)\
**Post date:** [May 29, 2014, 2:51pm UTC](https://boards.straightdope.com/t/what-texts-or-images-have-we-found-in-pi/689378/66 "2014-05-29T14:51:45Z")

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True dat.

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**Author:** ![Indistinguishable](https://avatars.discourse-cdn.com/v4/letter/i/90ced4/32.png) [@Indistinguishable](https://boards.straightdope.com/u/Indistinguishable)\
**Post date:** [May 29, 2014, 3:40pm UTC](https://boards.straightdope.com/t/what-texts-or-images-have-we-found-in-pi/689378/67 "2014-05-29T15:40:52Z")

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Or take two decimal digits at a time, assigning 25 digit-pairs to each of GATC.

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