This is one of the animations created for
Math 53, Visualizing the Fourth Dimension. Over the course of the
term, I created several dozen movie clips that illustrate various
aspects of objects in four dimensions (primarily the hypercube).
These, together with short explanations, are part of the Math 53
available to students after we go over them in class. They form an
integral part of the material of the course, and are praised by the
students as a source of insight. Versions of some of these
movies were developed originally when the course was offered for the
first time in 1999, and they became the foundation for the supporting
materials for the new images
"Iced Cubes" and
"A Rotation of Cubes"
that were commissioned for the traveling exhibit
"Para Além da Terceira Dimensão"
They were updated and enhanced during the most recent offering of
the course, in the spring of 2001.