mark
(5 pts)
In this problem, you’re going to create your own personal self-affine tile with fractal boundary using the code in this tutorial on self-affine tiles. We’ll use the positions mod 10 of first 4 letters of your first name to fill out your matrix. For example, the letters in my name, positions in the alphabet, and positions mod 10 are shown in the table below:
| m | a | r | k |
|---|---|---|---|
| 13 | 1 | 18 | 11 |
| 3 | 1 | 8 | 1 |
Thus, my matrix is
\begin{pmatrix} 3 & 1 \\ 8 & -1 \end{pmatrix}.
Note that changing the sign of the last entry makes it much more likely that the matrix is expansive.
Once you have your matrix, use the tutorial notebook to generate your tile.
Finally, respond to this post with
- Your typeset matrix and
- An image of your tile.
