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I am currently making a video for SoME 4 on infini...

تم الإنشاء في: ٢٩ يوليو ٢٠٢٥

تمت الإجابة باستخدام O3 بواسطة Chat01

سؤال

I am currently making a video for SoME 4 on infinity, I am using manim to animate it. You are a master at writing manim code and you make everything look rigorous and clean and I want you to write the code for the video for me. It starts with a number line that starts in the middle of the screen with 0 then 1 then 2 etc. We can only see up to number 6 on the right of the screen before there is no more space. I want you to either move the camera or the number line but to make an effect as if we are following the number line to ther right (as numbers get bigger) going faster and faster up until 42 is at the center of the screen. Write the code for me.

الفكرة

Writing a manim animation

To create the effect of following the number line from 0 to 42, I’ll animate the number line so that as the numbers increase, we’re zooming in on the numbers. I could either move the camera or shift the number line methodically using manim code. I’ll focus on making it seamless as we approach 42, ensuring the motion looks smooth and exciting like we’re accelerating. I'll need to ensure that numbers up to 6 appear clearly before the animation starts ramping up speed. Let's dive in and get started!

Writing manim code for animation

I’ll create a manim scene with a NumberLine ranging from 0 to 50, initially showing numbers 0-6. For the animation, I'll move the camera frame along the x-axis to give the effect of acceleration as the number line progresses more quickly until 42 is at the center of the screen. I’ll use a custom rate function to adjust the speed, and this will make the numbers get larger faster. I'll also label the ticks to ensure clarity. Let's code it in a markdown code block!

Creating an accelerating camera movement

To animate the number line to a final point with accelerating speed, I'll start by defining the number line from 0 to 60, centered to show values from 0 to 6 clearly. The camera will shift to follow the number line, with a motion that accelerates. Instead of a simple linear movement, I’ll tweak things with an exponential easing function to make the speed pick up as the camera zooms in. The animation will change the camera’s position in segments, speeding up until it reaches 42 at the center. I'll keep the code clean and concise!

Thought for 50 seconds

الإجابة

Here’s a compact, self‑contained Manim scene (Community Edition ≥ v0.18) that does exactly what you described:

python
from manim import *

class AcceleratingNumberLine(Scene):
    """
    Scene for SoME 4 – “Infinity”.

    • Starts with 0 centred on screen; only the integers up to 6 are visible.
    • The camera then tracks the number‑line to the right, accelerating
      until 42 sits at centre stage.
    """
    def construct(self):
        # --- 1.  Build the number line -------------------------------------
        n_line = NumberLine(
            x_range=[0, 60, 1],        # 0 … 60, tick every 1
            length=14,                 # matches full scene width (≈ 14 units)
            include_numbers=True,
            label_direction=DOWN,      # numbers below the line
            include_tip=False,
            stroke_width=2,
        )
        self.add(n_line)               # 0 is automatically centred

        frame = self.camera.frame      # handy alias

        self.wait(0.5)                 # small pause before moving

        # --- 2.  Accelerating camera motion --------------------------------
        # Check‑points (in number‑space) the camera will centre on.
        targets = [6, 12, 18, 24, 30, 36, 42]

        # Starting duration and a multiplicative decay factor
        base_time   = 2.0              # seconds for first segment
        time_decay  = 0.70             # each segment 30 % quicker

        for i, x in enumerate(targets):
            run_t = base_time * (time_decay ** i)
            self.play(
                frame.animate.move_to(n_line.n2p(x)),
                run_time=run_t,
                rate_func=rate_functions.smooth
            )

        self.wait(1)

How it works

  1. Number line setup – With length=14, a single Manim unit equals one integer, so the span 0→6 fits comfortably within the default 14‑unit–wide frame.
  2. Camera tracking – Instead of sliding the number line, we animate the camera frame itself.
    • n_line.n2p(x) converts an integer x to its corresponding point on the line.
    • Each successive move has a shorter run_time, giving the visual impression of continuous acceleration.
  3. Parameters to tweak
    • targets – add or remove milestones.
    • base_time / time_decay – adjust overall speed and acceleration profile.
    • length – change if you want a different initial field‑of‑view (but keep 0 centred).

Render with, e.g.:

bash
manim -pql your_file.py AcceleratingNumberLine

(-pql → open preview, quality “low”; switch to -pqh or -pqm for higher resolutions.)

This should give you a clean, mathematically tidy intro shot for your SoME 4 video. Enjoy animating!

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