Creates two GIFs, where the second one swaps the Y and time axis.

time_rotation.py

import sys
from PIL import Image, ImageDraw

if len(sys.argv) > 1:
    gif_path, = sys.argv[1:]
    im = Image.open(gif_path)
    width, before_height = im.size
    images_before = [im.copy()]
    while im.tell() < im.n_frames-1:
        im.seek(im.tell()+1)
        images_before.append(im.copy())
else:
    width = before_height = 200
    images_before = []

    # Default pre-rotation animation adapted from https://note.nkmk.me/en/python-pillow-gif/
    center = width // 2
    color_1 = (0, 0, 0)
    color_2 = (255, 255, 255)
    max_radius = int(center * 1.5)
    step = 2
    for i in range(0, max_radius, step):
        im = Image.new('RGB', (width, before_height), color_1)
        draw = ImageDraw.Draw(im)
        draw.ellipse((center - i, center - i, center + i, center + i), fill=color_2)
        images_before.append(im)
    for i in range(0, max_radius, step):
        im = Image.new('RGB', (width, before_height), color_2)
        draw = ImageDraw.Draw(im)
        draw.ellipse((center - i, center - i, center + i, center + i), fill=color_1)
        images_before.append(im)
    images_before[0].save('time_rotation_before.gif',
                   save_all=True, append_images=images_before[1:], optimize=False, duration=40, loop=0)

# Create a new stack of images swapping the Y and time axis.
after_height = len(images_before)
after_n_frames = before_height
pixels_after = [[(0, 0, 0)]*width*after_height for _ in range(after_n_frames)]
for after_y, image_before in enumerate(images_before):
    pixels = list(image_before.getdata())
    assert len(pixels) == width * before_height
    for before_y in range(before_height):
        row = pixels[width*before_y:width*(before_y+1)]
        pixels_after[before_y][width*after_y:width*(after_y+1)] = row
images_after = []
for pixels in pixels_after:
    img = Image.new('RGB', (width, after_height))
    img.putdata(pixels)
    images_after.append(img)
images_after[0].save('time_rotation_after.gif',
               save_all=True, append_images=images_after[1:], optimize=False, duration=40, loop=0)

Before:

After:

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Before:

After: