Add Homotopy example for waving square

[irvanalhaq9]

Overview: What does this pull request change?

This pull request introduces a new example for the Homotopy class. This example is inspired by the previous PR in PR #2959. The idea of a waving square is simple and easy to understand, so I modify the code. This new example demonstrates a smooth transition from the original square shape to a waving square. Unlike the example there, which started directly with the deformed shape, this update ensures that the original square is visible at the start, and the deformation happens gradually. This change aims to provide a more intuitive and visually clear demonstration of how homotopy works.

• Added a new Homotopy example showing a smooth transition from the original square to the waving square.
• The transition starts with the original square, which then gradually deforms into the waving square.

Motivation and Explanation: Why and how do your changes improve the library?

Links to added or changed documentation pages

Further Information and Comments

The result is below

Reviewer Checklist

• The PR title is descriptive enough for the changelog, and the PR is labeled correctly
• If applicable: newly added non-private functions and classes have a docstring including a short summary and a PARAMETERS section
• If applicable: newly added functions and classes are tested

[irvanalhaq9]

HomotopyPR.mp4

[irvanalhaq9]

This is my second option for the example:

class HomotopySineWave(Scene):
    def construct(self):
        square = Square()

        def homotopy(x, y, z, t):
            if t <= 0.25:
                progress = t / 0.25  
                return (x, y + progress * 0.2 * np.sin(x), z)
            elif t <= 0.75:  
                wave_progress = (t - 0.25) / 0.5
                return (x, y + 0.2 * np.sin(x + 10 * wave_progress), z)
            else:  
                end_progress = (t - 0.75) / 0.25  
                current_y = y + 0.2 * np.sin(x + 10)  
                return (x, interpolate(current_y, y, end_progress), z)

        self.play(Homotopy(homotopy, square, rate_func=linear, run_time=2))
        self.wait()

The result is:

HomotopySineWave.mp4

[behackl]

Looks great, thank you!

[irvanalhaq9]

Thank you.