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1. First (and most important), credit your source: unless you are composing your own audio, I think it's important to give credit to the original sources. It is a little sad to see several contributions with an empty line:

1. A great place to get royalty-free and high-quality music and audio (among other media) is https://pixabay.com. Be sure to check it out! I used one of their audio clips in my submission EKG pulse
2. The right music can enhance the overall experience of your animation. Sometimes getting the animation to match the music beat can be hard. I suggest you try the other way around: get your music/sound effects to match the animation rhythm with a little editing. A free audio editor with many capabilities (more than enough for this contest, I think) is https://www.audacityteam.org/
3. Choose a 4-second audio clip with a consistent tempo and seamless loop points, ensuring it complements your animation's mood and loops smoothly over 12 seconds without abrupt changes.

• Technique: The background color of the figure window is gradually changed using sine and cosine functions.
• Reason: These trigonometric functions (sin and cos) create smooth, oscillating transitions over time, which gives a fluid effect to the background's color shift.
• Implementation:

• Benefit: This introduces a smooth, visually appealing animation effect.

• Technique: The position and shape of objects are based on trigonometric functions.
• Reason: Using sin(t) and cos(t) ensures that the movement is circular or elliptical, creating continuous and natural motion in animations.
• Implementation (for object position):

• Benefit: Circular and smooth motions are pleasing and easily controlled by tweaking the frequency and phase of sine/cosine functions.

• Technique: The number of sides of the polygon (sides) changes dynamically based on t.
• Reason: It creates variation in shape, maintaining user interest as the shape transitions from a triangle to a hexagon.
• Implementation:

• Benefit: This provides dynamic shape transitions over time, keeping the animation non-static.

• Technique: The fill function is used to draw a polygon with smoothly changing colors.
• Reason: Filling polygons with varying colors based on time (t) allows for continuous color transitions, adding more complexity to the animation.
• Implementation:

• Benefit: Combining both color changes and shape changes enhances the visual impact.

• Technique: hold on allows multiple graphic objects to be drawn on the same axes without clearing previous objects.
• Reason: This is crucial for drawing multiple elements (like polygons, circles, and lines) on the same figure.
• Benefit: It helps manage and layer different graphical elements effectively within the same frame.

• Technique: The ball's motion is defined by rectangle with a Curvature of [1, 1] to make it circular.
• Reason: Using the rectangle function simplifies the process of drawing a filled circle, and controlling its position and size is intuitive.
• Benefit: It provides a straightforward way to animate circular objects within the plot.

• Technique: A white dashed line (w--) is drawn between the polygon and the moving ball to show a connection between these objects.
• Reason: This adds interactivity to the scene, as it gives the impression that the polygon and the ball are related or connected in some way.
• Implementation:

• Benefit: A dynamic element that adds depth and narrative to the animation, guiding the viewer’s attention.

• Technique: The variable f is used as a frame number, while t = f / 24 creates a link between frame and time.
• Reason: Ensuring smooth and continuous transitions in the animation over time is critical, so f acts as the control for time-based changes in shape, color, and position.
• Benefit: This makes it easy to manage frame rates and time-based updates for the animation.

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