Experiments in Generative Art

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I have been working on a new project that combines knot theory with music.

The Concept

We are looking for a way to visualize the “interface” between geometric forms and organic forms.

The Code

Here is a snippet of the Wolfram Language¹ code I am using:

Table[Style[k, Hue[k/20]], {k, 1, 20}]

flowchart LR
  A[Hard edge] --> B(Round edge)
  B --> C{Decision}
  C --> D[Result one]
  C --> E[Result two]

The Math

The core of the structure relies on the flow polytope equation:

\[\mathcal{F}_G = \left\{ x \in \mathbb{R}^E : \sum_{e \in \text{in}(v)} x_e = \sum_{e \in \text{out}(v)} x_e \right\}\]

Note

Note that there are five types of callouts, including: note, tip, warning, caution, and important.

Tip

Note that there are five types of callouts, including: note, tip, warning, caution, and important.

Warning

Note that there are five types of callouts, including: note, tip, warning, caution, and important.

Caution

Note that there are five types of callouts, including: note, tip, warning, caution, and important.

Important

Note that there are five types of callouts, including: note, tip, warning, caution, and important.

Footnotes

1. Hey wait I can make a footnote!

   And if I want the footnote to be multiple lines I can do that too.