From 5121c4c8f0e1d17c567327e554687caef2447435 Mon Sep 17 00:00:00 2001 From: Moez <65367982+moezmustafa@users.noreply.github.com> Date: Sun, 22 Oct 2023 06:07:59 +0500 Subject: [PATCH 1/4] Barnsley Fern Generator in Python This Python program is a Barnsley Fern generator, a fascinating example of a fractal pattern in mathematics. The Barnsley Fern is created through a series of mathematical transformations, resulting in an intricate, leaf-like structure. 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The Sierpiński Triangle is a classic example of a fractal pattern known for its self-replicating, intricate structure. + +![Sierpiński Triangle](sierpinski_triangle.png) + +## How to Run + +1. Ensure you have Python and the Turtle Graphics library installed in your environment. +2. Clone this repository or download the Python script to your computer. +3. Run the script using your preferred Python environment. + +## About the Sierpiński Triangle + +The Sierpiński Triangle is constructed by recursively removing smaller equilateral triangles from a larger equilateral triangle. This process is repeated infinitely, resulting in a self-replicating pattern. + +## Customize the Triangle + +You can customize various aspects of the generated Sierpiński Triangle: + +- Depth of recursion to control the complexity of the pattern. +- Initial size of the triangle. +- Choose whether to display a rainbow-colored triangle or a white one. + +## Example + +```python +# Customize the depth of recursion and other parameters +depth = 3 +initial_size = 400 +rainbow = False # Set to True for a rainbow-colored triangle + +# Run the script to generate the Sierpiński Triangle diff --git a/S/sierpinski_triangle/sierpinski_triangle.png b/S/sierpinski_triangle/sierpinski_triangle.png new file mode 100644 index 0000000000000000000000000000000000000000..814b8f06a575bd6398c7eb7a26ea2c17fa5da8d2 GIT binary patch literal 109932 zcmeFZbySpX*EdW#fPx|@3?(VuEiEV^rG#{McPS}?Gy>8c(jhI4bcb|zcQ<_J0K;`X z_x*h9{rg?(owbnhoFjMt_TGcfdr4u`hd2*mU|>*1Mczomz#zl|KOsmU;K>2$K@JQI 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00000000..f31dc8ab --- /dev/null +++ b/S/sierpinski_triangle/sierpinski_triangle.py @@ -0,0 +1,53 @@ +import turtle +import random + +p = [[0, 280], [-242, -140], [242, -140]] +colors = [ + ((255, 0, 0), (0, 69)), + ((255, 127, 0), (69, 69 * 2)), + ((255, 255, 0), (69 * 2, 69 * 3)), + ((0, 255, 0), (69 * 3, 69 * 4)), + ((0, 0, 255), (69 * 4, 69 * 5)), + ((75, 0, 130), (69 * 5, 69 * 6)), + ((148, 0, 211), (69 * 6, 69 * 7)) +] + +def changeColor(x): + colorx = (x + 242) + for i, (color, (start, end)) in enumerate(colors): + if start <= colorx < end: + t.pencolor(color) + break + +# Set True for rainbow-colored triangle +rainbow = False + +# Initialize turtle +t = turtle.Turtle() +t.hideturtle() +t.speed(0) +t.penup() +t.pencolor('white') + +# Initialize screen +s = turtle.getscreen() +s.setup(width=600, height=600) +s.bgcolor('black') + +# Draw first 3 points +for i in range(3): + t.goto(p[i][0], p[i][1]) + t.dot() + +# Draw 10000 points +for i in range(10000): + r = random.randint(0, 2) + pos = t.pos() + # Midway points + x, y = (pos[0] + p[r][0]) / 2, (pos[1] + p[r][1]) / 2 + t.goto(x, y) + if rainbow: + changeColor(x) + t.dot() + +turtle.exitonclick() From 99b82cd8cf4b9373a67b295166c292880b105f31 Mon Sep 17 00:00:00 2001 From: Moez <65367982+moezmustafa@users.noreply.github.com> Date: Sun, 22 Oct 2023 06:40:01 +0500 Subject: [PATCH 3/4] Create .DS_Store --- S/sierpinski_triangle/.DS_Store | Bin 0 -> 6148 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 S/sierpinski_triangle/.DS_Store diff --git a/S/sierpinski_triangle/.DS_Store b/S/sierpinski_triangle/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..39b3950e7077ae22a28bd7a2797a1f78b9976789 GIT binary patch literal 6148 zcmeHKJ5Iwu5PbtFf@o3!<(|M2H*g}SNI?S!074LoFa+@_pz@8VIh}d4Gay@7NHhqc z8EN;8=jZj4yt@NHW>2d_U;<#wp(v^hh?)moTOPbklw9Koa}>D2YEcgq`imxA`wot| z?kOsC*1x$})|(~0O3jp`XtPiQ_VIu2EJv0XST|C*D&T_AQ%V+J{i#cA#o^{ zj*Vg7IymJPfHC}OEZOBHW1#L{U`9#=XxhL#TT=0p6=AI*#8 zx3hlA;gHfW=3pQg=rf?bFJ+?V|D3YjH;7r#;^0U^~-naS(`Y{ tI8-#QQH4UicM0Hw?jr};Y5t@-<4VWIP^+jtrxW8MkO_$?82AMS-T_gMLIVH* literal 0 HcmV?d00001 From 2f42bc189fde2b092870ded35486ef34d45cc4c7 Mon Sep 17 00:00:00 2001 From: Moez <65367982+moezmustafa@users.noreply.github.com> Date: Sat, 28 Oct 2023 18:55:29 +0500 Subject: [PATCH 4/4] Create animation.py --- animation.py | 30 ++++++++++++++++++++++++++++++ 1 file changed, 30 insertions(+) create mode 100644 animation.py diff --git a/animation.py b/animation.py new file mode 100644 index 00000000..2d90772f --- /dev/null +++ b/animation.py @@ -0,0 +1,30 @@ +import matplotlib.pyplot as plt +from matplotlib.animation import FuncAnimation + +# Create a figure and axis +fig, ax = plt.subplots() + +# Initialize an empty plot +line, = ax.plot([], [], lw=2) + +# Set the axis limits +ax.set_xlim(0, 2 * 3.14) +ax.set_ylim(-1, 1) + +# Function to initialize the plot +def init(): + line.set_data([], []) + return line, + +# Function to update the plot in each frame +def update(frame): + x = 2 * 3.14 * frame / 100 + y = 0.5 * (1 + frame / 100) + line.set_data(x, y) + return line, + +# Create an animation +ani = FuncAnimation(fig, update, frames=100, init_func=init, blit=True) + +# Display the animation (this may vary depending on your Python environment) +plt.show()