MOD.YT :
Gemini import math
import turtle
def setup_screen():
screen = turtle.Screen()
screen.setup(width=900, height=900)
screen.bgcolor("#0a0a1a") # Deep space background
screen.title("Futuristic Atomic Model")
screen.tracer(0) # Turn off automatic updates for instant drawing
return screen
def draw_polygon(t, x, y, radius, sides, color, fill=True):
"""Draws a regular geometric polygon centered at (x, y)."""
t.penup()
# Move to starting vertex
angle = 360 / sides
start_x = x + radius * math.cos(0)
start_y = y + radius * math.sin(0)
t.goto(start_x, start_y)
t.color(color)
if fill:
t.fillcolor(color)
t.begin_fill()
t.pendown()
for i in range(1, sides + 1):
rad = math.radians(i * angle)
t.goto(x + radius * math.cos(rad), y + radius * math.sin(rad))
if fill:
t.end_fill()
t.penup()
def draw_star(t, x, y, size, color):
"""Draws a 5-pointed geometric star centered at (x, y)."""
t.penup()
t.goto(x, y + size)
t.setheading(-72)
t.color(color)
t.fillcolor(color)
t.begin_fill()
t.pendown()
for _ in range(5):
t.forward(size * 1.9)
t.right(144)
t.end_fill()
t.penup()
def draw_ellipse_orbit(t, a, b, tilt_angle, color, width=2):
"""Draws a tilted elliptical orbit path centered at (0, 0)."""
t.penup()
t.pensize(width)
t.color(color)
rad_tilt = math.radians(tilt_angle)
steps = 120
for i in range(steps + 1):
theta = 2 * math.pi * (i / steps)
# Standard ellipse coordinates
x_raw = a * math.cos(theta)
y_raw = b * math.sin(theta)
# Apply rotation (tilt)
x_rot = x_raw * math.cos(rad_tilt) - y_raw * math.sin(rad_tilt)
y_rot = x_raw * math.sin(rad_tilt) + y_raw * math.cos(rad_tilt)
if i == 0:
t.goto(x_rot, y_rot)
t.pendown()
else:
t.goto(x_rot, y_rot)
t.penup()
def get_ellipse_point(a, b, tilt_angle, theta):
"""Calculates coordinates for a specific point along a tilted ellipse."""
rad_tilt = math.radians(tilt_angle)
x_raw = a * math.cos(theta)
y_raw =
2026-10-10 09:12:19