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  LOGOLOG
a weblog of wordplay by Eric Harshbarger

Anti-Palindromes

My recent analysis of literary texts looking for the lengthiest palindromic substrings got me thinking of a related curiousity. Related, but basically the the opposite condition.

What is the longest, sensible text one can concoct that does not contain ANY palindromic substrings (nothing longer than degenerate, single-letter palindromes)?

Here's a sentence I thought of fairly quickly that shows off this property:

"We view uncopyrightable material on Wednesdays."

There are no palindromic substrings (no double letters, no 'ABA' constructions, etc) contained in it.

It would be interesting to try to write a lengthy work that adhered to this condition. Readers are welcome to submit their examples in the comments below.

-- Eric

[10 December 2021]
   
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Comments about this article:
Here are some well-known expressions that fit the bill:

- one man's trash is another man's treasure
- check yourself before you wreck yourself
- you could have knocked me over with a feather
- you can't live with 'em, you can't live without 'em
- the darkest hour is always just before the dawn
- don't count your chickens before they are hatched
- the more things change, the more they stay the same
- a journey of a thousand miles begins with a single step

It's great to see new posts on Logolog again! :)

Posted by: Tyler M


 
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