Self-reference 1999 computations preserved from deletion by att worldnet's demise. Note: singletons are moved as far forward in the alphabet as possible below. Thus sentences with a z are also pangrams. Computations were done with binary decision diagrams (BDD's). Public domain, distribute freely with or without attribution.

Monday, January 4, 2010

Self-Referential Sentences: Base Ten

Self-referential ``this sentence comprises'' sentences in decimal, exhaustive list - there are no others.


1. This sentence comprises two a's, three c's, two d's, twenty five e's, seven f's, two g's, four h's, eight i's, two l's, two m's, fourteen n's, fourteen o's, two p's, seven r's, twenty nine s's, twenty one t's, five u's, six v's, twelve w's, two x's, and four y's.

2. This sentence comprises two a's, three c's, two d's, twenty four e's, seven f's, two g's, four h's, seven i's, two l's, two m's, fourteen n's, fourteen o's, two p's, eight r's, twenty nine s's, twenty t's, six u's, five v's, eleven w's, two x's, and four y's.

3. This sentence comprises two a's, one b, three c's, two d's, thirty one e's, two f's, two g's, seven h's, seven i's, one j, one k, two l's, two m's, seventeen n's, eighteen o's, two p's, one q, seven r's, thirty one s's, twenty three t's, two u's, six v's, twelve w's, two x's, and four y's.

4. This sentence comprises two a's, one b, three c's, two d's, thirty three e's, four f's, one g, seven h's, nine i's, one j, one k, one l, two m's, twenty three n's, sixteen o's, two p's, one q, nine r's, twenty seven s's, twenty one t's, three u's, four v's, nine w's, two x's, and five y's.

5. This sentence comprises two a's, one b, three c's, two d's, twenty eight e's, five f's, three g's, eight h's, ten i's, one j, one k, two m's, nineteen n's, thirteen o's, two p's, nine r's, twenty four s's, twenty three t's, four u's, two v's, nine w's, and four y's.

6. This sentence comprises two a's, one b, three c's, two d's, twenty nine e's, three f's, three g's, eight h's, nine i's, two m's, eighteen n's, ten o's, two p's, seven r's, twenty five s's, twenty one t's, two u's, three v's, nine w's, and four y's.

7. This sentence comprises two a's, one b, three c's, two d's, twenty seven e's, five f's, two g's, six h's, seven i's, one j, three l's, two m's, twelve n's, fourteen o's, two p's, eight r's, thirty s's, twenty two t's, four u's, seven v's, twelve w's, two x's, and four y's.

8. This sentence comprises two a's, one b, three c's, two d's, twenty seven e's, seven f's, two g's, four h's, nine i's, one j, one k, two l's, two m's, eighteen n's, fifteen o's, two p's, six r's, twenty nine s's, twenty t's, four u's, five v's, twelve w's, two x's, and four y's.

No comments:

Post a Comment

Followers