1 | initial version |

I remain clueless about what you are asking, could you please be more clear? When you say $m\times n$ png, do you mean the size in pixels? What exactly do you mean with "enlargable square pixels"?

However here is an answer to a possible interpretation that was interesting to think about. hth

If your input is a matrix of colors in html format, eg, something that may have been the output of `rand_color_matrix`

(see below).

```
def rand_html_color():
return '#'+''.join([hex(randint(0,255))[2:].zfill(2) for i in range(3)])
def rand_color_matrix(m,n):
return [[rand_html_color() for j in range(n)] for i in range(m)]
```

Then you can use sage's `matrix_plot`

to generate a png by using `plot_color_matrix`

defined as:

```
def plot_color_matrix(M):
L=sorted(flatten(M))
nrows=len(M)
ncols=len(M[0])
m = matrix(ZZ, nrows, ncols)
for (i,row) in enumerate(M):
for (j,color) in enumerate(row):
m[i,j] = L.index(color)
return matrix_plot(m,cmap=L)
```

Sage's `matrix_plot`

generates an $m\times n$ array of colored squares where the color of square $i,j$ corresponds to the entry $i,j$ of a given matrix. If you provide a list of colors, say `L`

, then color `L[k]`

is used for entry $i,j$ if the "rank" of that entry is `k`

. The idea behind `plot_color_matrix`

is to get the matrix of colors, generate a list of sorted colors and then just construct a matrix that will make `matrix_plot`

color the entries exactly as they were given in `M`

.

Sample session and output:

```
sage: %attach color_matrix.sage
sage: m=rand_color_matrix(100,150)
sage: m=rand_color_matrix(3,6)
sage: m
[['#2ed610', '#7c8958', '#15c825', '#621d9c', '#396237', '#910ed4'],
['#dccd3e', '#aa1e06', '#8783d6', '#d3d15c', '#82af18', '#a79d8c'],
['#ca71b6', '#bff3a9', '#c96913', '#42d1e4', '#450a32', '#b8b436']]
sage: plot_color_matrix(m)
```

2 | No.2 Revision |

I remain clueless about what you are asking, could you please be more clear? When you say $m\times n$ png, do you mean the size in pixels? What exactly do you mean with "enlargable square pixels"?

However here is an answer to a possible interpretation that was interesting to think about. hth

If your input is a matrix of colors in html format, eg, something that may have been the output of `rand_color_matrix`

(see below).

```
def rand_html_color():
return '#'+''.join([hex(randint(0,255))[2:].zfill(2) for i in range(3)])
def rand_color_matrix(m,n):
return [[rand_html_color() for j in range(n)] for i in range(m)]
```

Then you can use sage's `matrix_plot`

to generate a png by using `plot_color_matrix`

defined as:

```
def plot_color_matrix(M):
L=sorted(flatten(M))
nrows=len(M)
ncols=len(M[0])
m = matrix(ZZ, nrows, ncols)
for (i,row) in enumerate(M):
for (j,color) in enumerate(row):
m[i,j] = L.index(color)
return matrix_plot(m,cmap=L)
```

Sage's `matrix_plot`

generates an $m\times n$ array of colored squares where the color of square $i,j$ corresponds to the entry $i,j$ of a given matrix. If you provide a list of colors, say `L`

, then color `L[k]`

is used for entry $i,j$ if the "rank" of that entry is `k`

. The idea behind `plot_color_matrix`

is to get the matrix of colors, generate a list of sorted colors and then just construct a matrix that will make `matrix_plot`

color the entries exactly as they were given in `M`

.

Sample session and output:

```
sage: %attach color_matrix.sage
```~~sage: m=rand_color_matrix(100,150)
~~sage: m=rand_color_matrix(3,6)
sage: m
[['#2ed610', '#7c8958', '#15c825', '#621d9c', '#396237', '#910ed4'],
['#dccd3e', '#aa1e06', '#8783d6', '#d3d15c', '#82af18', '#a79d8c'],
['#ca71b6', '#bff3a9', '#c96913', '#42d1e4', '#450a32', '#b8b436']]
sage: plot_color_matrix(m)

A larger example:

```
sage: plot_color_matrix(rand_color_matrix(200,150))
```

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