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Usenet Newsgroups : rec.puzzles Hall of Fame


The rec.puzzles Hall of Fame is a compilation of over 500 of the most popular puzzles that have been posted and discussed in the rec.puzzles newsgroup. In most cases a detailed solution has been provided.

Many of these puzzles also appear in Braingle's own collection.

   
rec.puzzles
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Hall of Fame
alt.brain.teasers
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FAQ
Categories : pickover : pickover.16.p

Title: Cliff Puzzle 16: Undulating Squares
From: cliff@watson.ibm.com

If you respond to this puzzle, if possible please send me your name,
address, affiliation, e-mail address, so I can properly credit you if
you provide unique information.  PLEASE ALSO directly mail me a copy of
your response in addition to any responding you do in the newsgroup.  I
will assume it is OK to describe your answer in any article or
publication I may write in the future, with attribution to you, unless
you state otherwise.  Thanks, Cliff Pickover

      * * *

A square number is of the form y=x**2.  For example, 25 is a square
number.

Undulating numbers are of the form:  ababababab... For example, the
following are undulating numbers:  1717171, 282828, etc.

1. Are there any undulating square numbers?

2. Are there any undulating cube numbers?



Solution


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