Z-Squared Crescent
The November 1996 cover of the Notices of the American
Mathematical Society featured this image from "Surfaces Beyond the
Third Dimension"
.
A version of "Z-Squared Necklace",
it is rotated to fit the vertical space available on the cover of the
journal.
The description of the cover that appeared in the issue was:
"It is possible to maintain threefold symmetry for the projection of
the graph of the complex squaring function into a family of planes,
starting at the unit disk (at the lower left) and ending at the
conjugate of its square. Lifting those mappings into three-space
gives a very symmetric sequence of projections of the Riemann surface
of the squaring function. This image sequence was produced at the
Geometry Center by Thomas Banchoff from Brown University and Davide
Cervone from Union College. For more information on the
deformations, see the prototype of 'Communications in Visual
mathematics' at the location
http://www.geom.umn.edu/locate/journal/."
The article to which it refers is no longer linked into the
prototype, as it was never completed, but it is still available
in its incomplete state
.
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