The content you've requested is available without charge only to active Sigma Xi members and
If you are an active member or an individual subscriber, please log in now in order to access this article.
If you are not a member or individual subscriber, you can:
The standard soccer ball, a spherical polyhedron made up of 12
(traditionally black) pentagons and 20 (traditionally white)
hexagons, is an object of more than sporting interest. It shares its
geometry with the carbon-60 molecule or "buckyball" and
has inspired considerable work in group theory. But mathematicians
can design many more soccer balls, extending the basic design using
the tools of topology and combinatorics. Using a construction called
a "branched covering," a topologist can slice, duplicate
and reattach the standard ball's cover, even creating toroidal
soccer balls. Generalizing the rules of soccer ball opens up further
possibilities and mathematical questions for exploration.
Connect With Us:
An early peek at each new issue, with descriptions of feature articles, columns, and more. Every other issue contains links to everything in the latest issue's table of contents.
News of book reviews published in
and around the web, as well as other noteworthy happenings in the world of science books.
To sign up for automatic emails of the
American Scientist Update
issues, create an
, then sign up in the
My AmSci area
JSTOR, the online academic archive, contains complete back issues of American Scientist from 1913 (known then as the Sigma Xi Quarterly) through 2005.
The table of contents for each issue is freely available to all users; those with institutional access can read each complete issue.
View the full collection here.
Receive notification when new content is posted from the entire website, or choose from the customized feeds available.