Billy Wilson
Aesthetic Computing 2D Model
The Spiral of Cornu
I have produced a Two Dimensional Model using Flash 5.0 to recreate the Spiral of
Cornu equation in another form. I applied literal objects to the functions so that the
concept of how the equation works may become clearer. I will discuss my motivations,
an explanation of my project, and a description of the mappings included in the model.
Motivations:
In defining the Spiral of Cornu, I wanted to create a machine that would use the
components of the equation and produce an effect similar to the spiral. Essentially, I
desired to map each part of the equation, and have the final x and y outputs control
something. Initially, I envisioned a paint cannon that would be powered by a liquid that
would be transformed by each of the functions. I would give the model a carnival motif,
such as the water cannons used at the fair.
I came to a standstill, however, on how some of the equations would affect the liquid.
Especially with sine and cosine, I had troubles determining how they would exert
negative values. I decided to apply temperature to these functions. The integrator would
just be a filter that would allow a small amount (dt) of the liquid out at a time.
I then decided that a less literal technique should be applied to each of the functions.
Initially, I wanted to create something that would actually square, multiply, and divide
the liquid. I tried to come up with factory concepts that would work with this. In
deciding, I came up with a sorcery motif, in which magic would be applied to each of the
functional containers. This, however, presented a problem with creating a difference in
the “spells” performed, and how that would be apparent to the user.
Finally, I came up with an evolutionary idea, which I ended up applying to my final
model.
Explanation:
It should be immediately apparent from viewing my model that it represents a sort of
“snow globe.” I placed the objects in this container mainly for aesthetic purposes, as they
did not work right standing alone. So, I have placed my project in the context of being a
“futuristic” or “alien” toy that displays a sort of evolution from nature to machine, over
the (extremely abridged) history of man.
I attempted to model each of the variables and functions based on their complexity. In
other words, with a variable being basic input, it should be a basic object. The
multiplication and division ideas would be more developed, followed by sine and cosine,
and finally, integrators.
I wanted to make the source of my project something completely natural, so I was
inclined to begin it with a fountain stream. I found it much easier just to use a rain cloud,
for perspective sake. The cloud empties into a wooden cup, which is meant to be very
prehistoric and mostly untouched by man. I also wanted to display Pi as completely
natural, as it does not perform any functionality on its own.
For the multiplication, division, and squaring, I wanted to create stone-age tools that
would perform the tasks. For sine and cosine, I wanted industrial age-like tools. Finally,
