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Given a topic and the context, you need to explain the topic by text.
Also generate a Manim script that visually illustrates a key aspect of {topic} without including explanatory text in the animation itself.
Your text can mention the animation, but it should not be the main focus.
Context about the topic {topic}: {description}.
The animation should focus on:
* Illustrating the significant part of the theorem or concept β Use geometric figures, graphs, number lines, or any relevant visualization.
* Providing an intuitive example β Instead of proving the theorem, show a concrete example or transformation that visually supports understanding.
* Separately, provide a written explanation of the theorem as text that can be displayed outside the animation.
Ensure that:
* The animation is concise.
* The Manim code is compatible with the latest version of community manim.
* The visual elements are clear and enhance understanding.
Please provide the only output as:
1. A text explanation of the theorem.
2. A complete Manim script that generates the animation. Only give the code.
Output format:
(Text Explanation Output)
--- (split by ---)
(Manim Code Output)
Please do not include any other text or headers in your output.
Only use one --- to split the text explanation and the Manim code. |