In the summer of 2002, I and Hidekazu Takahashi started a
project of Computational Origami. I have been interested in origami since my
boyhood. My interest in origami is revitalized by many interesting research
results by mathematicians and computer scientists around the end of 1980s. The
talk of Corrado Boehm, at IFIP 1.6 WG meeting in
The real progress started when I met Hidekazu Takahashi at
ACA conference in@Volos, Greece in the summer of 2002. After we returned to
Computational origami is to create origami by means of computation. Namely, given a set of formulas obtained by observing geometric properties of origami, by repeated transformation of them, we derive new set of formulas that describe new origami.
Although some origamists are interested in both artistic and mathematical aspects of origami, there are quite separate research issues involved. We are interested in both aspects of origami, but as a research strategy, we separate them and pursue two different goals.
Before
describing the theories behind origami creation, let us look at the following examples.
They are computed by our system. It is created purely by means of computation
of geometric objects associated with origami, i.e. polygons, lines and points,
which are rigorously defined in terms of equations.
Instead
of showing each steps of origami construction, we put together the origami
steps and make them animate. We plan to have a rich collection of origami art
pieces At this moment, we need to supply parameters in mathematical forms in
order to instruct the system to make a fold of origami. We plan to make an
interface to facilitate the input of parameters for folding.
This
is our attempt to provide a web-based interface to mathematically motivated
origamists. Please visit our
web@site.