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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

• An image of your tile.
jwilso13

My matrix resulting from “Josh” is

\begin{pmatrix} 0 & 5 \\ 9 & 8 \end{pmatrix}.

The resulting tile is

Now isn’t that perty.

pikenber

The matrix generated using my name is: \begin{pmatrix} 6 & 1 \\ 1 & -2 \end{pmatrix}, and my self-affine tiles look like this:

lee7

My matrix is \begin{pmatrix} 1 & 2 \\ 2 & -9 \end{pmatrix}.

Which gave me the tile:

Based on the first 4 letters of my name “B”,“E”,“N”,“J” my matrix was:
\begin{pmatrix} 2 & 5 \\ 4 & 0 \end{pmatrix} .
The corresponding tile:

ofeldman

o w e n
15 20 5 14
5 0 5 4

Thus my matrix is:

\begin{pmatrix} 5 & 0 \\ 5 & -4 \end{pmatrix}.

My tile is:

scowart

My matrix is

\begin{pmatrix} 9 & 0 \\ 5 & -4 \end{pmatrix},

which generated the following self-affine tiles

mreyeslo

My matrix from “Monica” is
\begin{pmatrix} 3 & 5 \\ 4 & -9 \end{pmatrix}.
My tile is: