Fractal trees in Python

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Introduction A fractal tree is known as a tree that can be created by recursively symmetric branching.

A trunk of length 1 splits into two branches of length r, each of which forms an angle q with the direction of the barrel. Both of these branches are divided into two branches of length r * r, each of which makes an angle q with the direction of its parent branch. Continuing in this way an infinite number of branches, a tree is a collection of branches together with their limiting points, called branch tips.

Enough theory, now let’s try the implementation in Python. For this we need two Python libraries Pygame for the GUI or GUI and math, which is a built-in library in Python and will be used for math tweaks.

To install Pygame

 pip install pygame 

So how to proceed, it is highly recommended that you know a little about pygmies and fractals.

First create trunk, and then start creating branches for each trunk, assuming the branch size to be 0.9 * (stem length) and then treating the branches as a stem again, repeating the process.

# Importing python libraries

import pygame, math

# Initialize cue all imported Pygame modules
pygame.init ()

# Create a new surface and window.

surface_height, surface_width = 800 , 600 # Surface Variables

main_surface = pygame.display.set_mode ((surface_height, surface_width))

# Window title

pygame.display.set_caption ( "Fractal_Tree_pythonengineering" )

def draw_tree (order, theta, sz, pos n, heading, color = ( 0 , 0 , 0 ), depth = 0 ) :

The relative ratio of the trunk to the entire tree

trunk_ratio = 0.29

# Barrel length

trunk = sz * trunk_rati o

delta_x = trunk * math.cos (heading)

delta_y = trunk * math.sin (heading)

(u, v) = posn

newpos = (u + delta_x, v + delta_y)

pygame.draw.line (main_surface, color , posn, newpos)

if order & gt; 0 : # Draw another layer of subtrees

# Next six lines - simple hack

# the two main halves of the recursion are different

# colors. Fiddle here to change colors to another

# depths, or when the depth is even or odd , etc.

if depth = = 0 :

color1 = ( 255 , 0 , 0 )

color2 = ( 0 , 0 , 255 )

else :

color1 = color

color2 = color

# make recursive calls to draw two subtrees

newsz = sz * ( 1 - trunk_ratio)

draw_tree (order - 1 , theta, newsz, newpos, heading - theta, color1, depth + 1 )

draw_tree (order - 1 , theta, newsz, newpos, heading + theta, color2, depth + 1 )

def main ():

theta = 0

while True :

# Update corner

theta + = 0.01

# This little part lets us draw things

# everything on screen

main_surface.fill (( 255 , 255 , 0 ))

draw_tree ( 9 , theta, surface_height * 0.9 , (surface_width / / 2 , surface_width - 50 ), - math.pi / 2 )

pygame.display.flip ()

# Calling the main function
main ()
pygame.quit ()


 % MINIF YHTMLc707a572199fb7b4b8a82374bf37b87213%      

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Fractal trees in Python __del__: Questions

How can I make a time delay in Python?

5 answers

I would like to know how to put a time delay in a Python script.


Answer #1

import time
time.sleep(5)   # Delays for 5 seconds. You can also use a float value.

Here is another example where something is run approximately once a minute:

import time
while True:
    print("This prints once a minute.")
    time.sleep(60) # Delay for 1 minute (60 seconds).


Answer #2

You can use the sleep() function in the time module. It can take a float argument for sub-second resolution.

from time import sleep
sleep(0.1) # Time in seconds

Fractal trees in Python __del__: Questions

How to delete a file or folder in Python?

5 answers

How do I delete a file or folder in Python?


Answer #1

Path objects from the Python 3.4+ pathlib module also expose these instance methods:


How do I install pip on macOS or OS X?

5 answers

I spent most of the day yesterday searching for a clear answer for installing pip (package manager for Python). I can"t find a good solution.

How do I install it?


Answer #1

UPDATE (Jan 2019):

easy_install has been deprecated. Please use instead.

Old answer:

easy_install pip

If you need admin privileges to run this, try:

sudo easy_install pip


Answer #2

⚡️ TL;DR — One line solution.

All you have to do is:

sudo easy_install pip

2019: ⚠️easy_install has been deprecated. Check Method #2 below for preferred installation!


⚡️ OK, I read the solutions given above, but here"s an EASY solution to install pip.

MacOS comes with Python installed. But to make sure that you have Python installed open the terminal and run the following command.

python --version

If this command returns a version number that means Python exists. Which also means that you already have access to easy_install considering you are using macOS/OSX.

ℹ️ Now, all you have to do is run the following command.

sudo easy_install pip

After that, pip will be installed and you"ll be able to use it for installing other packages.

Let me know if you have any problems installing pip this way.


P.S. I ended up blogging a post about it. QuickTip: How Do I Install pip on macOS or OS X?

✅ UPDATE (Jan 2019): METHOD #2: Two line solution —

easy_install has been deprecated. Please use instead.

First of all download the get-pip file

curl -o

Now run this file to install pip


That should do it.

Another gif you said? Here ya go!


Answer #3

You can install it through Homebrew on OS X. Why would you install Python with Homebrew?

The version of Python that ships with OS X is great for learning but it’s not good for development. The version shipped with OS X may be out of date from the official current Python release, which is considered the stable production version. (source)

Homebrew is something of a package manager for OS X. Find more details on the Homebrew page. Once Homebrew is installed, run the following to install the latest Python, Pip & Setuptools:

brew install python

We hope this article has helped you to resolve the problem. Apart from Fractal trees in Python, check other __del__-related topics.

Want to excel in Python? See our review of the best Python online courses 2022. If you are interested in Data Science, check also how to learn programming in R.

By the way, this material is also available in other languages:

Xu Innsbruck

Warsaw | 2022-12-10

Thanks for explaining! I was stuck with Fractal trees in Python for some hours, finally got it done 🤗. I am just not quite sure it is the best method

Angelo Schteiner

Milan | 2022-12-10

Thanks for explaining! I was stuck with Fractal trees in Python for some hours, finally got it done 🤗. I just hope that will not emerge anymore

Ken Danburry

Warsaw | 2022-12-10

Simply put and clear. Thank you for sharing. Fractal trees in Python and other issues with split was always my weak point 😁. Will get back tomorrow with feedback


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