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Production pipeline for creating 3Blue1Brown-style animated videos using Manim Community Edition. The agent handles the full workflow: creative planning, Python code generation, rendering, scene stitching, audio muxing, and iterative refinement. Modes: concept explainers, equation derivations, algorithm visualizations, data stories, architecture diagrams, paper explainers, 3D visualizations. 9 reference files, setup verification script, README. All API references verified against ManimCommunity/manim source.
80 lines
1.9 KiB
Markdown
80 lines
1.9 KiB
Markdown
# Equations and LaTeX Reference
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## Basic LaTeX
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```python
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eq = MathTex(r"E = mc^2")
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eq = MathTex(r"f(x) &= x^2 + 2x + 1 \\ &= (x + 1)^2") # multi-line aligned
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```
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**Always use raw strings (`r""`).**
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## Step-by-Step Derivations
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```python
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step1 = MathTex(r"a^2 + b^2 = c^2")
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step2 = MathTex(r"a^2 = c^2 - b^2")
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self.play(Write(step1), run_time=1.5)
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self.wait(1.5)
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self.play(TransformMatchingTex(step1, step2), run_time=1.5)
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```
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## Selective Color
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```python
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eq = MathTex(r"a^2", r"+", r"b^2", r"=", r"c^2")
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eq[0].set_color(RED)
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eq[4].set_color(GREEN)
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```
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## Building Incrementally
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```python
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parts = MathTex(r"f(x)", r"=", r"\sum_{n=0}^{\infty}", r"\frac{f^{(n)}(a)}{n!}", r"(x-a)^n")
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self.play(Write(parts[0:2]))
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self.wait(0.5)
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self.play(Write(parts[2]))
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self.wait(0.5)
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self.play(Write(parts[3:]))
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```
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## Highlighting
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```python
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highlight = SurroundingRectangle(eq[2], color=YELLOW, buff=0.1)
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self.play(Create(highlight))
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self.play(Indicate(eq[4], color=YELLOW))
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```
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## Annotation
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```python
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brace = Brace(eq, DOWN, color=YELLOW)
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label = brace.get_text("Fundamental Theorem", font_size=24)
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self.play(GrowFromCenter(brace), Write(label))
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```
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## Common LaTeX
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```python
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MathTex(r"\frac{a}{b}") # fraction
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MathTex(r"\alpha, \beta, \gamma") # Greek
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MathTex(r"\sum_{i=1}^{n} x_i") # summation
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MathTex(r"\int_{0}^{\infty} e^{-x} dx") # integral
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MathTex(r"\vec{v}") # vector
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MathTex(r"\lim_{x \to \infty} f(x)") # limit
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```
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## Derivation Pattern
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```python
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class DerivationScene(Scene):
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def construct(self):
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self.camera.background_color = BG
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s1 = MathTex(r"ax^2 + bx + c = 0")
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self.play(Write(s1))
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self.wait(1.5)
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s2 = MathTex(r"x^2 + \frac{b}{a}x + \frac{c}{a} = 0")
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s2.next_to(s1, DOWN, buff=0.8)
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self.play(s1.animate.set_opacity(0.4), TransformMatchingTex(s1.copy(), s2))
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```
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