Hello there,

I am part of the Acrylicode team and today I want to share with you how I coded the algorithm for creating this artwork.

Available as nft on https://www.hicetnunc.xyz/objkt/83667

The algorithm was written in Python, so you need a basic understanding of coding in Python. I try throughout the tutorial to explain every step thoroughly so it shouldn’t be too complicated. I also used Vsketch, an art toolkit, because it provides a simple API with svg export.

The main idea of the algorithm can be explained in 4 steps:

- Create a grid of points and shift them in x and y coordinates by a small random amount.
- Group the points by column and store all groups in a list.
- Iterate over the grouped points and interpolate the current group with the next one (interpolate groups i and i+1)
- Adjust the parameters to desired output

All steps from installation until the output are listed and explained below

**VSketch Installation**

**VSketch Installation**Type in a terminal following commands one after the other:

```
git clone https://github.com/abey79/vsketch
cd vsketch
python3 -m venv venv
source venv/bin/activate
pip install .
mkdir my_sketches
cd my_sketches
vsk init random_lines
vsk run random_lines
```

`(the pip install step may take a few minutes, be patient and there is a dot after the space)`

- Then open your favorite code editor (I use VSCode) and under vsketch/my_sketches/random_lines you should see
*“sketch_random_lines.py”*. This is where the code gets written, we code everything inside the draw() function.

In this tutorial we are going to be using the following functions vsk.random() , vsk.lerp() , vsk.polygon , vsk.point()

**1. ***Step: Create a grid of points*

*Step: Create a grid of points*

We write a basic nested for-loop and add a vsk.random() to each coordinate point in the draw() function.

```
def draw(self, vsk: vsketch.Vsketch) -> None:
vsk.size("a3", landscape=False)
vsk.scale("cm")
for row in range(20):
for col in range(25):
x = row + vsk.random(1.5)
y = col + vsk.random(1)
vsk.point(x,y)
```

When this get executed you should see something like this:

**2. Step: Grouping our Data**

**2. Step: Grouping our Data**

Now we slightly modify the code above by adding a variable that is going to contain all groups of lines “allColumnPoints” before the nested for-loops and a temporary variable that contains the current point group in the outer for-loop.

```
def draw(self, vsk: vsketch.Vsketch) -> None:
vsk.size("a3", landscape=False)
vsk.scale("cm")
allColumnsPoints = []
for row in range(20):
columnPoints = []
for col in range(25):
x = row + vsk.random(1.5)
y = col + vsk.random(1)
columnPoints.append((x,y))
allColumnsPoints.append(columnPoints)
```

*3. Step: Interpolation*

*3. Step: Interpolation*

For this next step we need to import *numpy* as a dependency first, because we are going to use *vks.lerp()* and this accepts a np.array as a parameter. Write this in the first line of the file

`import numpy as np`

Once we have done that, we iterate over the “allColumnsPoint”, we grab the current column(current iteration) and the next column(next iteration), we extract the x and y coordinates separately and create a numpy array with these values.

```
def draw(self, vsk: vsketch.Vsketch) -> None:
vsk.size("a3", landscape=False)
vsk.scale("cm")
allColumnsPoints = []
for row in range(20):
columnPoints = []
for col in range(25):
x = row + vsk.random(1.5)
y = col + vsk.random(1)
columnPoints.append((x,y))
allColumnsPoints.append(columnPoints)
for index in range(len(allColumnsPoints) -1):
currentColumnPoints = allColumnsPoints[index]
nextColumnPoints = allColumnsPoints[index+1]
currentColumnPointsUnzipped = zip(*currentColumnPoints)
currentColumnPointsUnzipped = list(currentColumnPointsUnzipped)
xTuples = currentColumnPointsUnzipped[0]
yTuples = currentColumnPointsUnzipped[1]
xCoordinatesCurrentColumn = np.array(xTuples)
yCoordinatesCurrentColumn = np.array(yTuples)
nextColumnPointsUnzipped = zip(*nextColumnPoints)
nextColumnPointsUnzipped = list(nextColumnPointsUnzipped)
xTuples = nextColumnPointsUnzipped[0]
yTuples = nextColumnPointsUnzipped[1]
xCoordinatesNextColumn = np.array(xTuples)
yCoordinatesNextColumn = np.array(yTuples)
```

Now the “currentColumPoints” is an *array of tuples* [(x,y) , ….]. In the next line *zip(*currentColumPoints)* separates the x and y and we get an array of two tuples like this [(x1, x2, x,3,…), (y1,y2,y3,…)] , the x-tuple is the first element containing the x- coordinates and the y-tuple contains the y-coordinates. Finally we just convert the array to a numpy array and we repeat the same process for the “nextColumnPoints”.

We are now ready to interpolate the *xCoordinatesCurrentColumn* with the *xCoordinatesNextColumn* and the same for the *yCoordinates*. Once these points are interpolated individually, we zip them again so we have an array of tuples like this: [(x,y), …] and lastly we call the function *vsk.polygon* with the array we just created.

```
def draw(self, vsk: vsketch.Vsketch) -> None:
vsk.size("a3", landscape=False)
vsk.scale("cm")
allColumnsPoints = []
for row in range(20):
columnPoints = []
for col in range(25):
x = row + vsk.random(1.5)
y = col + vsk.random(1)
columnPoints.append((x,y))
allColumnsPoints.append(columnPoints)
for index in range(len(allColumnsPoints) -1):
currentColumnPoints = allColumnsPoints[index]
nextColumnPoints = allColumnsPoints[index+1]
currentColumnPointsUnzipped = zip(*currentColumnPoints)
currentColumnPointsUnzipped = list(currentColumnPointsUnzipped)
xTuples = currentColumnPointsUnzipped[0]
yTuples = currentColumnPointsUnzipped[1]
xCoordinatesCurrentColumn = np.array(xTuples)
yCoordinatesCurrentColumn = np.array(yTuples)
nextColumnPointsUnzipped = zip(*nextColumnPoints)
nextColumnPointsUnzipped = list(nextColumnPointsUnzipped)
xTuples = nextColumnPointsUnzipped[0]
yTuples = nextColumnPointsUnzipped[1]
xCoordinatesNextColumn = np.array(xTuples)
yCoordinatesNextColumn = np.array(yTuples)
interpolation_steps = 9
for interpolation_step in range(interpolation_steps):
interpolated_x = vsk.lerp(xCoordinatesCurrentColumn, xCoordinatesNextColumn, interpolation_step/interpolation_steps)
interpolated_y = vsk.lerp(yCoordinatesCurrentColumn, yCoordinatesNextColumn, interpolation_step/interpolation_steps)
interpolated_coordinates = zip(interpolated_x, interpolated_y)
vsk.polygon(interpolated_coordinates)
```

You are done! You should now see something like this:

*A little clarification on the line:*

interpolated_x = vsk.lerp(xCoordinatesCurrentColumn, xCoordinatesNextColumn, interpolation_step/interpolation_steps)

Here we are interpolating xCoordinatesCurrentColumn, xCoordinatesNextColumn and the interpolation amount ( how far away from each of the two points should the line be interpolated) . When the amount is 0 the interpolation is exactly the xCoordinates**Current**Column and when the amount is 1 the interpolation is exactly xCoordinates**Next**Column. For any value in between, it will be proportionally placed, that means 0.5 would be in the middle, 0.9 would be closer to the xCoordinatesNextColumn and 0.3 would be closer to xCoordinatesCurrentColumn. I hope it makes sense, you can further check the vsketch documentation for vsk.lerp().

*4. Step: Fine Tuning*

*4. Step: Fine Tuning*

Now that you have the algorithm up and running, you can modify in the grid creation the range of the nested for-loops, for playing around with the width and the height. You can also change the range of *vsk.random()* to get different results, and finally you can play with the* interpolations_steps*, by randomizing it, changing it gradually or only in the even iterations or be creative and come up with crazy new ideas yourself!

*I hope you enjoyed this short tutorial. You can always contact us via DM Instagram (@acrylicode.berlin) , we appreciate any feedback, if it was too simple or too complex, or what would you like to see in a tutorial, we are open for suggestions. If you want to see a video walk-through , watch our youtube tutorial : **https://www.youtube.com/watch?v=9NQVRFnkb1E*

*Support us:*

*– by collecting our nft from this tutorial at https://www.hicetnunc.xyz/objkt/83667*

*– sharing this content and following us in social media* *@acrylicode.berlin*

*-check out our shop https://www.acrylicode.com/shop/*