Кардиоида

from PIL import Image, ImageDraw
from math import sin, cos, pi
 
 
def cardioid_coordinates(r: int, t: float) -> (float, float):
    x = 2 * r * sin(t) + r * sin(t * 2) + 300
    y = 2 * r * cos(t) + r * cos(t * 2) + 200
    return x, y
 
 
def cardioid(r, step):
    coordinates = [cardioid_coordinates(r, i/step * pi) for i in range(0, 2 * step, 1)]
    img = Image.new('RGBA', (600, 550), 'blue')
    cardioid_draw = ImageDraw.Draw(img)
    cardioid_draw.polygon(coordinates, fill='red')
    img.save('cardio.png')
 
 
cardioid(100, 6)

import math
 
from PIL import Image, ImageDraw
 
 
def cardioid(r, step):
    image = Image.new('RGB', (600, 550), 'blue')
    drawer = ImageDraw.Draw(image)
    step_t = math.pi / step
    t = 0
    res = [(300, 200)]
    start_x = 300
    start_y = 200
    while t < 2 * math.pi:
        x = 2 * r * math.sin(t) + r * math.sin(t * 2)
        y = 2 * r * math.cos(t) + r * math.cos(2 * t)
        t += step_t
        res.append((x + start_x, y + start_y))
 
    res.append(res[1])
    res = tuple(res)
    drawer.polygon(res, 'red')
    image.save('cardio.png')