├── README.md
├── fractal.gif
└── fractal.py


/README.md:
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1 | A simple fractal pattern in python
2 | 
3 | Prerequisites:
4 | Python3
5 | pygame (pip install pygame)
6 | numpy (pip install numpy)
7 | 
8 | ![Demo](https://github.com/Perseus-Perry/Fractal/blob/master/fractal.gif)
9 | 


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/fractal.gif:
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https://raw.githubusercontent.com/purry03/Fractal/2c663ee3dd57b98ba7e6d9cc8b23c065f9a999bb/fractal.gif


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/fractal.py:
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  1 | import pygame
  2 | import numpy as np
  3 | 
  4 | objects = []
  5 | trails = []
  6 | 
  7 | class Dot():
  8 |     def __init__(self,position=[0,0],velocity=[0,0],color=(255,255,255),radius=5,splitDistance=100):
  9 |         self.position = position
 10 |         self.velocity = velocity
 11 |         self.color = color
 12 |         self.radius = radius
 13 |         self.splitDistance = splitDistance
 14 |         self.intialPosition = [position[0],position[1]]
 15 |         self.split = False
 16 |     def updatePos(self):
 17 |         self.position[0] += self.velocity[0]
 18 |         self.position[1] += self.velocity[1]
 19 | 
 20 |     def draw(self,surface):
 21 |         position = [int(self.position[0]),int(self.position[1])]
 22 |         pygame.draw.circle(surface,self.color,position,self.radius)
 23 | 
 24 | def create(position=[0,0],velocity=[0,0],color=(255,255,255),radius=5,splitDistance=100):
 25 |     object = Dot(position,velocity,color,radius,splitDistance=splitDistance)
 26 |     objects.append(object)
 27 |     del object
 28 | 
 29 | def delete(object):
 30 |     objects.remove(object)
 31 | 
 32 | def update():
 33 |     for object in objects:
 34 |         object.updatePos()
 35 | 
 36 | def draw(surface):
 37 |     for object in objects:
 38 |         object.draw(surface)
 39 | 
 40 | def makeTrail(objects,color):
 41 |     try:
 42 |        for object in objects:
 43 |            trail = Dot(position=list(object.position),velocity=[0,0],radius=1,color=color)
 44 |            trails.append(trail)
 45 |     except:
 46 |        pass
 47 | 
 48 | def drawTrail(surface):
 49 |     for trail in trails:
 50 |         trail.draw(surface)
 51 | 
 52 | def dotDistance(dot1,dot2):
 53 |     dist = np.sqrt(np.power((dot1[0]-dot2[0]),2)+np.power((dot1[1]-dot2[1]),2))
 54 |     return dist
 55 | 
 56 | def distance(point1,point2):
 57 |     dist = np.sqrt(np.power((point1-point2),2)+np.power((point1-point2),2))
 58 |     return dist
 59 | 
 60 | maxSplits = np.power(2,7)
 61 | size= (700,700)
 62 | vel_table = [[0,-1],[-1,-1],[-1,0],[-1,1],[0,1],[1,1],[1,0],[1,-1]]
 63 | pygame.init()
 64 | clock = pygame.time.Clock()
 65 | screen = pygame.display.set_mode(size)
 66 | pygame.display.set_caption("Fractal")
 67 | run_game = True
 68 | black=(0,0,0)
 69 | white = (255,255,255)
 70 | create([350,700],[0,-1],white)
 71 | print(len(vel_table))
 72 | color = [100,100,100]
 73 | startGame = True
 74 | 
 75 | 
 76 | 
 77 | 
 78 | while run_game:
 79 |     # handle quit event
 80 |     for event in pygame.event.get():
 81 |         if event.type == pygame.QUIT:
 82 |             run_game = False
 83 |         if event.type == pygame.KEYDOWN:
 84 |             if event.key == pygame.K_p:
 85 |                 startGame = True
 86 | 
 87 |     screen.fill(black)
 88 | 
 89 |     if startGame:
 90 | 
 91 |         update()
 92 |         makeTrail(objects,color)
 93 |         drawTrail(screen)
 94 |         draw(screen)
 95 | 
 96 |         if maxSplits > 0:
 97 |             for object in objects:
 98 |                 if object.split:
 99 |                     continue
100 |                 if dotDistance(object.intialPosition,object.position) > object.splitDistance:
101 |                     index  = vel_table.index(object.velocity)
102 |                     left_vel = index+1
103 |                     right_vel = index-1
104 |                     if left_vel >= len(vel_table):
105 |                         left_vel = 0
106 |                     if right_vel < 0 :
107 |                         right_vel = len(vel_table)-1
108 |                     create([object.position[0],object.position[1]],vel_table[left_vel],splitDistance=(object.splitDistance/1.75))
109 |                     create([object.position[0],object.position[1]],vel_table[right_vel],splitDistance=(object.splitDistance/1.75))
110 |                     object.velocity = [0,0]
111 |                     object.split = True
112 |                     delete(object)
113 |                     maxSplits -= 1
114 | 
115 |         if not maxSplits > 0 :
116 |             for object in objects:
117 |                 if object.velocity != [0,0]:
118 |                     delete(object)
119 | 
120 | 
121 |     pygame.display.update()
122 | 
123 |     clock.tick(60)
124 | 


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