I made a cardioid by making use of the goto func.

I had a lot of fun with this lab. Because I have experience with math and writing code, I was able to make a fun drawing without much stress.

drawing.py

@@ -1,22 +1,28 @@
 from turtle import (
-    forward,
-    back,
-    left,
     right,
-    penup,
-    pendown,
     color,
+    goto,
+    pensize
 )
+from math import sin, cos, tau, pi
 
-forward(100)
+def cardioid(theta, size=100):
-right(360 * 2 / 5)
+    return size * (1 - sin(theta))
-forward(100)
-right(360 * 2 / 5)
-forward(100)
-right(360 * 2 / 5)
-forward(100)
-right(360 * 2 / 5)
-forward(100)
-right(360 * 2 / 5)
 
+def polar_to_cartesian(coord: tuple[float, float]):
+    r, theta = coord
+    return (r * cos(theta), r * sin(theta))
+
+def get_segmented_cardioid(segments = 16):
+    angles = [pi / 2 + i * (tau/ segments) for i in range(segments + 1)]
+    radii = map(cardioid, angles)
+    return list(map(polar_to_cartesian, zip(radii, angles)))  
+
+segments = 50
+coords = get_segmented_cardioid(segments)
+color(1, 0, 0)
+pensize(5)
+for i in range(segments + 1):
+    goto(coords[i])
+right(90)
 input()