Hi,
Did you know about flexagons?. I read about them in Gardner�s column in Sci
Am (yes, long ago).
In this site there use to be pages about how to make them (any search
engine will give results for "flexagons"):
Visit Aunt Annie's Crafts: http://www.auntannie.com
Computer craft fun for everyone.
Flexagons were discovered over fifty years ago by a graduate student,
Arthur Stone, playing with scraps of paper. The first flexagon he made was
the tri-hexaflexagon. He had folded a strip of paper diagonally in three
places to form a hexagon. When he flexed the hexagon in a certain way, a
third face was revealed. He found this to be very interesting. After
thinking about it overnight, he constructed a hexagon that when flexed
produced six different faces - hexa-hexaflexagon. After that many of his
friends joined him in the fascinating study of flexagons, and many more
types of flexagons were discovered.
I never had the time to try them, but they seem interesting, especially if
you like geometry-mathematics.
Just in case the page is no longer online:
Links and Books
Here is a related page you may enjoy visiting:
� Magnus Enarsson's � Flexagon Page -
http://www.dtek.chalmers.se/~d3enar/Flexagon/index.html nice illustrations
for making hexahexa-flexagon.
� � IDAHO BY THE BOOK - http://www.eils.lib.id.us/icb/tetra.html the
world's first tetratetraflexagon map
� � Geometry Forum Problem of the Week
http://forum.swarthmore.edu/pow/toc.septdec94.pow.html- especially look at
Polyiamonds, Moebius Band, and Hexagonal Window.
Here are some books with flexagons to make. Check for them at your library
or bookstore:
� The Mysterious Flexagons by Madeline Jones, 1966, Crown Publishers, Inc.,
New York, NY. - how to make five different flexagons.
� The Scientific American Book of Mathematical Puzzles and Diversions by
Martin Gardner, 1959, Simon and Schuster, New York, NY. - a history of
flexagons and instructions for many hexa-flexagons (1-sided to 8-sided).
� Hexaflexagons and Other Mathematical Diversions, by Martin Gardner, 1988,
University of Chicago Press, Chicago, IL.
� Geometric Playthings by Jean J. and Kent A. Pedersen, 1973, Troubador
Press, San Francisco, CA. - patterns for tri-hexaflexagons and
hexa-hexaflexagons.
Daniel
At 11:43 a.m. 20/11/99 +0100, you wrote:
>I have just found another name used for my hobby, "paper tole"
>
> Hugs from France,
> Joanne
>