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REFERENCES
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Carousel numbers and Carousel primes are my own names.

So are Nine numbers and One numbers.

The carousel stuff may be new, but many people rediscover the story of
periods of decimals. That is so much more fun than looking it up.

But if you would like to see more of the story, here are some references.

1.      Solved and Unsolved Problems in Number Theory
        by Daniel Shanks, Chelsea Publ. Co., 2nd ed. 1978

2.      Contemporary Abstract Algebra
        by Joseph A. Gallian, Heath, 2nd ed., 1990

3.      A Concrete Introduction to Higher Algebra
        by Lindsay Childs, Springer-Verlag, 1979

4.      Numbers: Rational and Irrational
        by Ivan Niven, MAA, 1961

5.      The Theory of Numbers, An Introduction
        by Anthony A. Giola, Markham Publ. Co., 1970

6.      Excursions into Mathematics
        by Beck, Bleicher, and Crowe, Worth Publ., 1969


I have lots of fun with these investigations, and continue to do so.
If you have any comments on the above, or ideas to add, I would
REALLY like to hear from you.

Dr. Gary Klatt
Dept of Mathematics and Computer Science
Univ of Wisconsin - Whitewater
Whitewater, WI  53190
email: klattg@uwwvax.uww.edu