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 consists of'' sentences in decimal, exhaustive list - there are no others.


1. This sentence consists of two a's, one b, three c's, two d's, thirty six e's, five f's, two g's, seven h's, ten i's, one j, one k, one l, one m, twenty three n's, sixteen o's, one p, one q, five r's, twenty eight s's, twenty one t's, one u, seven v's, seven w's, three x's, five y's, and one z.

2. This sentence consists of two a's, one b, three c's, two d's, thirty three e's, five f's, two g's, seven h's, ten i's, one j, one k, one l, one m, twenty one n's, sixteen o's, one p, one q, five r's, twenty seven s's, twenty two t's, one u, six v's, eight w's, three x's, and five y's.

3. This sentence consists of two a's, one b, three c's, two d's, twenty five e's, seven f's, two g's, six h's, nine i's, one j, two l's, fifteen n's, twelve o's, six r's, twenty eight s's, twenty two t's, three u's, four v's, ten w's, three x's, and four y's.

4. This sentence consists of two a's, one b, three c's, two d's, twenty five e's, six f's, two g's, six h's, thirteen i's, sixteen n's, nine o's, five r's, twenty eight s's, nineteen t's, two u's, five v's, seven w's, four x's, and three y's.

5. This sentence consists of two a's, one b, three c's, two d's, twenty nine e's, five f's, two g's, seven h's, thirteen i's, one j, nineteen n's, eight o's, five r's, twenty six s's, nineteen t's, five v's, six w's, three x's, and three y's.

6. This sentence consists of two a's, one b, three c's, two d's, twenty two e's, seven f's, two g's, five h's, eight i's, fourteen n's, thirteen o's, six r's, twenty seven s's, twenty two t's, four u's, five v's, ten w's, two x's, and four y's.

No comments:

Post a Comment

Followers