Model Created to Help Teachers Envision Fourth Spatial Dimension
IWU Professor of Physics Narendra Jaggi (right) and student Andy Nelson work on a
model of the fourth spatial dimension.
June 6, 2007
BLOOMINGTON, Ill.— The concept of the fourth dimension can be a difficult one to comprehend.
Although experimental physicists are now looking for ways to prove the existence of
4-D, often instructors do not approach the subject in class because they are not sure
how to teach it.
Narendra Jaggi, Illinois Wesleyan University professor and chair of the physics department,
and his student Andy Nelson are looking for ways to help bring the fourth spatial
dimension into the classroom.
Jaggi draws two squares on a dry erase board in a classroom at the University’s Center
for Natural Science. “You can’t really build a cube on a blackboard because the board
is two dimensional and the cube is three dimensional,” said Jaggi, connecting the
corners of the squares with lines. “But, you can draw a representation of a cube,
so you have the perception of three dimensions.” Drawing on that idea, Jaggi and Nelson,
an Illinois Wesleyan senior physics and religion double major from Mahomet, Ill.,
began to conquer the questions: Could there be a fourth spatial dimension and how
can you display that in a three-dimensional world?
Jaggi and Nelson took the idea of creating a cube, and built upon it. “We wanted to
create a model to replicate the fourth dimension in a spatial way. The goal was to
create a teaching tool to help visualize 4D,” said Nelson, who is spending the summer
conducting research on microcavity plasma displays at the University of Illinois.
The two spent a year developing, and then building, the model, which at first looks
like a collection of colorful wires. A number of cubes made of electrical resistors
are stacked on top of each other and connected with different resistors of varying
colors. “What we wanted to do was to connect every piece to every other piece,” said Nelson.
Scientists have struggled for ways to “discover” the fourth spatial dimension, which
may affect the way we measure gravity, as suggested by Lisa Randall, professor of
theoretical physics at Harvard University. The model created by Jaggi and Nelson does
not serve to prove the existence of a fourth dimension, but rather suggests a way
for teachers to talk about it. “We are not trying to directly verify Lisa’s work.
We are working in parallel to develop experimental models of interactions in higher
spatial dimensions,” said Jaggi. “It’s a pedagogical way of thinking about how the
fourth dimension could reveal itself in experimentation.”
Contact: Rachel Hatch, (309) 556-3960