🌌 Python Turtle The Neon Ribbon Orbit

 

Code:

import turtle import math import time screen = turtle.Screen() screen.setup(700, 700) screen.bgcolor("#020208") t = turtle.Turtle() t.hideturtle() t.speed(0) t.width(2) colors = [ "#00ffff", "#7c4dff", "#ff2d75", "#00ff9d", "#ffe600" ] for layer in range(28): t.color(colors[layer % len(colors)]) t.penup() for i in range(180): a = math.radians(i * 2) x = 230 * math.sin(a) y = 110 * math.sin(a * 2) # Rotate each ribbon r = math.radians(layer * 6) X = x * math.cos(r) - y * math.sin(r) Y = x * math.sin(r) + y * math.cos(r) if i == 0: t.goto(X, Y) t.pendown() else: t.goto(X, Y) screen.update() time.sleep(0.002) time.sleep(0.06) # ✨ Center t.penup() t.goto(0, -12) t.dot(24, "#ffffff") screen.update() time.sleep(2) turtle.done()

Explanation:

1. Import Libraries

import turtle

import math

import time

turtle → Used for drawing.

math → Used for mathematical calculations.

time → Controls animation speed.

2. Create the Screen

screen = turtle.Screen()

screen.setup(700, 700)

screen.bgcolor("#020208")

Creates a 700 × 700 canvas.

Sets a dark background.

3. Configure the Turtle

t = turtle.Turtle()

t.hideturtle()

t.speed(0)

t.width(2)

Creates the turtle.

Hides the turtle cursor.

Sets maximum drawing speed.

Sets line thickness to 2.

4. Define Neon Colors

colors = [

    "#00ffff", "#7c4dff",

    "#ff2d75", "#00ff9d",

    "#ffe600"

]

Stores five neon colors.

Colors are reused for each ribbon.

5. Create Multiple Ribbons

for layer in range(28):

Creates 28 rotating ribbon layers.

6. Select Ribbon Color

t.color(colors[layer % len(colors)])

t.penup()

Cycles through the neon colors.

Lifts the pen before moving to the starting point.

7. Generate Ribbon Points

for i in range(180):

Creates 180 points for each ribbon.

More points make the curve smoother.

8. Calculate the Angle

a = math.radians(i * 2)

Converts the angle from degrees to radians.

The angle increases by 2° each step.

9. Calculate X Coordinate

x = 230 * math.sin(a)

Uses a sine wave to create horizontal movement.

230 controls the ribbon's width.

10. Calculate Y Coordinate

y = 110 * math.sin(a * 2)

Creates the vertical wave.

a * 2 makes the wave oscillate faster.

11. Calculate Ribbon Rotation

r = math.radians(layer * 6)

Gives every layer a different rotation.

Each new ribbon rotates by 6°.

12. Calculate Rotated X Coordinate

X = x * math.cos(r) - y * math.sin(r)

Applies a mathematical rotation to the X coordinate.

13. Calculate Rotated Y Coordinate

Y = x * math.sin(r) + y * math.cos(r)

Applies the same rotation to the Y coordinate.

Together, X and Y create the rotated ribbon.

14. Start the Ribbon

if i == 0:

    t.goto(X, Y)

    t.pendown()

Moves to the first point without drawing.

Starts drawing from the first point.

15. Continue Drawing

else:

    t.goto(X, Y)

Connects each calculated point.

Forms the smooth ribbon curve.

16. Animate the Ribbon

screen.update()

time.sleep(0.002)

Updates the screen.

Adds a tiny delay for smooth animation.

17. Pause Between Ribbons

time.sleep(0.06)

Adds a short pause after each ribbon.

Makes the layered animation easier to see.

18. Add the Center Glow

t.penup()

t.goto(0, -12)

t.dot(24, "#ffffff")

Moves to the center.

Adds a white glowing dot.

19. Display the Final Design

screen.update()

time.sleep(2)

Updates the final drawing.

Keeps it visible for 2 seconds.

20. Finish

turtle.done()

Keeps the Turtle window open.

Ends the program.

1. Import Libraries

import turtle
import math
import time

• turtle → Used for drawing.
• math → Used for mathematical calculations.
• time → Controls animation speed.

2. Create the Screen

screen = turtle.Screen()
screen.setup(700, 700)
screen.bgcolor("#020208")

• Creates a 700 × 700 canvas.
• Sets a dark background.

3. Configure the Turtle

t = turtle.Turtle()
t.hideturtle()
t.speed(0)
t.width(2)

• Creates the turtle.
• Hides the turtle cursor.
• Sets maximum drawing speed.
• Sets line thickness to 2.

4. Define Neon Colors

colors = [
    "#00ffff", "#7c4dff",
    "#ff2d75", "#00ff9d",
    "#ffe600"
]

• Stores five neon colors.
• Colors are reused for each ribbon.

5. Create Multiple Ribbons

for layer in range(28):

• Creates 28 rotating ribbon layers.

6. Select Ribbon Color

t.color(colors[layer % len(colors)])
t.penup()

• Cycles through the neon colors.
• Lifts the pen before moving to the starting point.

7. Generate Ribbon Points

for i in range(180):

• Creates 180 points for each ribbon.
• More points make the curve smoother.

8. Calculate the Angle

a = math.radians(i * 2)

• Converts the angle from degrees to radians.
• The angle increases by 2° each step.

9. Calculate X Coordinate

x = 230 * math.sin(a)

• Uses a sine wave to create horizontal movement.
• 230 controls the ribbon's width.

10. Calculate Y Coordinate

y = 110 * math.sin(a * 2)

• Creates the vertical wave.
• a * 2 makes the wave oscillate faster.

11. Calculate Ribbon Rotation

r = math.radians(layer * 6)

• Gives every layer a different rotation.
• Each new ribbon rotates by 6°.

12. Calculate Rotated X Coordinate

X = x * math.cos(r) - y * math.sin(r)

• Applies a mathematical rotation to the X coordinate.

13. Calculate Rotated Y Coordinate

Y = x * math.sin(r) + y * math.cos(r)

• Applies the same rotation to the Y coordinate.
• Together, X and Y create the rotated ribbon.

14. Start the Ribbon

if i == 0:
    t.goto(X, Y)
    t.pendown()

• Moves to the first point without drawing.
• Starts drawing from the first point.

15. Continue Drawing

else:
    t.goto(X, Y)

• Connects each calculated point.
• Forms the smooth ribbon curve.

16. Animate the Ribbon

screen.update()
time.sleep(0.002)

• Updates the screen.
• Adds a tiny delay for smooth animation.

17. Pause Between Ribbons

time.sleep(0.06)

• Adds a short pause after each ribbon.
• Makes the layered animation easier to see.

18. Add the Center Glow

t.penup()
t.goto(0, -12)
t.dot(24, "#ffffff")

• Moves to the center.
• Adds a white glowing dot.

19. Display the Final Design

screen.update()
time.sleep(2)

• Updates the final drawing.
• Keeps it visible for 2 seconds.

20. Finish

turtle.done()

• Keeps the Turtle window open.
• Ends the program.