Go With The Flow

Producing a geometric form from a differential equation is problematic
without a differential approach to series and repetition .
There are two kinds of series : a discrete , or repetitive series and a continuous , or iterative
series . In a continuous or iterative series, the difference between each
object in the sequence is critical and individual to each repetition . If the
difference is the product of three or more variables, and if those three variables
are unrelated , then the change between each iteration will be nonlinear
in its structure and it will therefore be difficult to predict with absolute
precision .
Each step is thus dependent on the precise position of each of
three or more variables; meaning that the future position of the iterative series cannot be calculated outside of the series itself. In an incremental, discrete series, the differences that accompany each repetition are linear
and reducible. The entire infinite set of possible futures of the series can be
calculated in advance with a simple mathematical equation .
In the case of the continuous series such exact definitions are impossible to determine at
the beginning, as the beginning is not an origin but merely a point of departure.
The future possible positions of a continuous series must be thought
of as a continuum rather than as an enclosed infinity. This points to the
important distinction between the infinite and the continuous , two terms
which are often casually conflated. Difference and repetition , when thought
of in a continuous rather than discrete manner, mandate a thinking in duration
rather than in points.