功能扩展计划有？

[foocker]

我测试了下，效果不太好，有优化计划么？ 因为既有cc agent, 也有Gemini agent，还有2,我只能测试cc agent， 想做一个2-3分钟的定理科普视频，欧拉多面体公式， V-E+F=2到示性类的推广，效果很差，最大的问题是，无法编辑。 我找了一些，https://mathify.dev/zh-CN 或者其他，效果都不太行。

[traycerai]

Plan

Observations

The Math-To-Manim project uses a six-agent pipeline to generate Manim animations from natural language. The current architecture generates monolithic code in a single pass without intermediate editing capabilities. The user's issue highlights two critical problems: (1) generated code cannot be edited easily due to its monolithic structure, and (2) quality is poor for complex mathematical topics like Euler's polyhedron formula and characteristic classes. The system lacks modularity, iterative refinement, and component-based generation that would enable users to customize and improve outputs.

Approach

The solution focuses on transforming the current single-shot generation into an iterative, modular, and editable workflow. This involves: (1) restructuring code generation to produce modular, component-based Manim scenes with clear separation of concerns, (2) adding intermediate review/editing checkpoints between agent stages, (3) implementing a component library system for reusable animation elements, (4) enhancing the PrerequisiteExplorer and MathematicalEnricher agents for better handling of advanced topology concepts, and (5) creating an interactive refinement loop that allows users to edit verbose prompts, visual specifications, and generated code before final rendering.

Implementation Plan

1. Modular Code Generation Architecture

Objective: Transform monolithic code generation into component-based, editable modules

1.1 Refactor CodeGenerator Agent Prompts

Update the CODE_GENERATOR_PROMPT in file:Gemini3/src/agents.py and file:skill/skills/math-to-manim/references/agent-system-prompts.md:

• Add instructions to generate code with clear method separation (one method per concept/scene)
• Require extraction of reusable components into separate helper methods
• Mandate configuration dictionaries for colors, positions, timing at class level
• Enforce naming conventions: scene_<concept_name>(), create_<element_name>(), animate_<action>()
• Add docstrings to each method explaining its purpose and parameters

1.2 Create Component Library System

Establish a new directory structure:

src/components/
├── __init__.py
├── base_components.py      # Base classes for reusable elements
├── equations.py             # LaTeX equation components
├── graphs.py                # Graph and plot components
├── geometry.py              # Geometric shapes and transformations
├── topology.py              # Topology-specific components (NEW)
└── animations.py            # Common animation patterns

Implement base component classes with:

• Configurable parameters (colors, sizes, positions)
• Standard interfaces for creation, animation, and transformation
• Composition support for building complex elements from simple ones

1.3 Enhance Code Generation Template

Modify code generation in file:Gemini3/src/pipeline.py and file:src/app_claude.py:

• Generate code using a template that imports from component library
• Structure output as:

  class ConceptAnimation(ThreeDScene):
      # Configuration section
      CONFIG = {
          'colors': {...},
          'positions': {...},
          'timing': {...}
      }
      
      def construct(self):
          self.setup_scene()
          self.scene_foundation()
          self.scene_intermediate()
          self.scene_target()
      
      # Separate methods for each concept
      def scene_foundation(self): ...
      def scene_intermediate(self): ...
      def scene_target(self): ...
      
      # Reusable component creators
      def create_equation(self, tex, color, position): ...
      def create_graph(self, func, range, color): ...

2. Intermediate Editing Checkpoints

Objective: Enable user review and modification at each pipeline stage

2.1 Add Interactive Review Interface

Extend file:src/app_claude.py Gradio interface:

• Add new tab "Pipeline Review Mode" with step-by-step workflow
• Display output from each agent with edit capability:
  • ConceptAnalyzer output → JSON editor
  • PrerequisiteExplorer tree → Interactive tree visualization with node editing
  • MathematicalEnricher content → LaTeX editor with live preview
  • VisualDesigner specs → Visual specification editor
  • NarrativeComposer prompt → Rich text editor with syntax highlighting
  • CodeGenerator output → Code editor with syntax highlighting

2.2 Implement Checkpoint System

Create new file file:src/pipeline/checkpoint_manager.py:

• Save pipeline state after each agent execution
• Allow resuming from any checkpoint
• Support branching (try different approaches from same checkpoint)
• Store checkpoint history for comparison
• Enable rollback to previous stages

2.3 Add Validation Hooks

Implement validation between stages:

• LaTeX syntax validation after MathematicalEnricher
• Visual specification schema validation after VisualDesigner
• Manim code syntax checking after CodeGenerator
• Provide clear error messages and suggestions for fixes

3. Enhanced Agent Capabilities for Advanced Mathematics

Objective: Improve quality for complex topics like topology and characteristic classes

3.1 Enhance PrerequisiteExplorer for Topology

Update file:Gemini3/src/agents.py PREREQUISITE_EXPLORER_PROMPT:

• Add domain-specific knowledge for topology concepts
• Include prerequisite patterns for:
  • Euler characteristic → polyhedra → graph theory → basic counting
  • Characteristic classes → fiber bundles → differential geometry → manifolds
  • Homology/cohomology → algebraic topology → group theory
• Implement depth control to prevent over-simplification of advanced topics

3.2 Strengthen MathematicalEnricher

Update MATHEMATICAL_ENRICHER_PROMPT in file:Gemini3/src/agents.py:

• Add specialized templates for topology concepts
• Include visual intuition alongside formal definitions
• Provide multiple representations (algebraic, geometric, combinatorial)
• Add historical context and motivation for abstract concepts
• Include concrete examples before generalizations

3.3 Create Domain-Specific Visual Patterns

Add to file:skill/skills/math-to-manim/references/manim-code-patterns.md:

• Topology visualization patterns:
  • Polyhedra construction and manipulation
  • Surface deformation and homotopy
  • Fiber bundle visualization
  • Characteristic class representation
• Include example code snippets for each pattern

4. Iterative Refinement Workflow

Objective: Enable users to improve outputs through multiple iterations

4.1 Implement Feedback Loop System

Create new file file:src/pipeline/refinement_engine.py:

• Accept user feedback on generated output (text description or structured)
• Analyze feedback to identify which agent needs adjustment
• Generate refined prompts for specific agents
• Re-run only affected agents and downstream dependencies
• Compare old vs new outputs side-by-side

4.2 Add Partial Regeneration

Modify file:Gemini3/src/pipeline.py:

• Support regenerating specific scenes without full pipeline re-run
• Allow editing individual scene methods and re-rendering
• Implement scene-level caching to speed up iterations
• Enable A/B testing of different approaches for same concept

4.3 Create Refinement Prompts

Add refinement-specific prompts for each agent:

• "Improve clarity of this explanation"
• "Add more visual detail to this scene"
• "Simplify this equation presentation"
• "Enhance color scheme for better contrast"
• "Adjust timing for better pacing"

5. Component Library for Topology and Advanced Math

Objective: Provide pre-built, high-quality components for complex topics

5.1 Implement Topology Components

Create file:src/components/topology.py:

# Polyhedron class with Euler characteristic calculation
# Surface class with genus and characteristic class support
# Fiber bundle visualization components
# Homotopy animation helpers
# Characteristic class visualization tools

5.2 Create Example Templates

Add to file:examples/mathematics/topology/:

• euler_characteristic_demo.py - V-E+F=2 with multiple polyhedra
• characteristic_classes_intro.py - From Euler to Chern classes
• fiber_bundles_visual.py - Tangent bundle and normal bundle
• homology_intuition.py - Visual introduction to homology

5.3 Build Template System

Create file:src/templates/:

• Define animation templates for common mathematical structures
• Allow users to select template and customize parameters
• Templates include:
  • Theorem proof structure
  • Definition → Example → Generalization
  • Historical development narrative
  • Concept comparison and contrast

6. Quality Assurance and Validation

Objective: Ensure generated code is correct and high-quality

6.1 Implement Code Validation

Create file:src/validation/code_validator.py:

• Static analysis of generated Manim code
• Check for common errors (missing imports, undefined variables)
• Validate LaTeX syntax before code generation
• Test code execution in sandbox environment
• Provide detailed error reports with fix suggestions

6.2 Add Mathematical Correctness Checks

Create file:src/validation/math_validator.py:

• Verify equation consistency across scenes
• Check dimensional analysis for physics equations
• Validate mathematical notation conventions
• Cross-reference with known formulas (SymPy integration)

6.3 Implement Preview System

Enhance file:src/app_claude.py:

• Add quick preview rendering (low quality, fast)
• Show frame-by-frame breakdown of animation
• Display timing information and scene transitions
• Allow scrubbing through animation timeline
• Enable frame-level editing and adjustment

7. Documentation and User Guidance

Objective: Help users understand and effectively use the system

7.1 Create Editing Guide

Add file:docs/EDITING_GUIDE.md:

• How to modify generated code effectively
• Component library usage examples
• Common customization patterns
• Troubleshooting guide for editing issues
• Best practices for iterative refinement

7.2 Add Interactive Tutorials

Implement in Gradio interface:

• Step-by-step tutorial for creating editable animations
• Interactive examples showing editing workflow
• Video demonstrations of refinement process
• Common use cases with solutions

7.3 Enhance Error Messages

Update all agents to provide:

• Clear, actionable error messages
• Suggestions for fixes
• Links to relevant documentation
• Examples of correct usage

8. Pipeline Orchestration Improvements

Objective: Better coordination and control of agent workflow

8.1 Add Pipeline Configuration

Create file:src/pipeline/config.py:

• User-configurable pipeline parameters
• Agent selection (which agents to use)
• Quality vs speed tradeoffs
• Output format preferences
• Caching and optimization settings

8.2 Implement Progress Tracking

Enhance file:Gemini3/src/pipeline.py:

• Real-time progress updates for each agent
• Estimated time remaining
• Resource usage monitoring
• Ability to pause/resume pipeline execution

8.3 Add Parallel Processing

Optimize pipeline for independent operations:

• Run MathematicalEnricher and VisualDesigner in parallel
• Cache intermediate results for faster iterations
• Implement smart caching based on input similarity

Implementation Sequence

graph TD
    A[Phase 1: Modular Code Generation] --> B[Phase 2: Checkpoint System]
    B --> C[Phase 3: Enhanced Agents]
    C --> D[Phase 4: Component Library]
    D --> E[Phase 5: Refinement Workflow]
    E --> F[Phase 6: Validation & QA]
    F --> G[Phase 7: Documentation]
    
    A --> A1[Refactor CodeGenerator]
    A --> A2[Create Component Base]
    A --> A3[Update Templates]
    
    B --> B1[Interactive Review UI]
    B --> B2[Checkpoint Manager]
    B --> B3[Validation Hooks]
    
    C --> C1[Topology Prerequisites]
    C --> C2[Math Enricher Enhancement]
    C --> C3[Visual Patterns]
    
    D --> D1[Topology Components]
    D --> D2[Example Templates]
    D --> D3[Template System]
    
    E --> E1[Feedback Loop]
    E --> E2[Partial Regeneration]
    E --> E3[Refinement Prompts]
    
    F --> F1[Code Validation]
    F --> F2[Math Validation]
    F --> F3[Preview System]
    
    G --> G1[Editing Guide]
    G --> G2[Tutorials]
    G --> G3[Error Messages]

Loading

Key Files to Modify

• file:Gemini3/src/agents.py - Update all agent prompts for modularity
• file:Gemini3/src/pipeline.py - Add checkpoint and refinement support
• file:src/app_claude.py - Add interactive review interface
• file:skill/skills/math-to-manim/references/agent-system-prompts.md - Document new agent capabilities
• file:skill/skills/math-to-manim/references/manim-code-patterns.md - Add topology patterns
• file:skill/skills/math-to-manim/references/verbose-prompt-format.md - Update for modular generation

Expected Outcomes

1. Editability: Generated code will be modular with clear separation of concerns, enabling easy customization
2. Quality: Enhanced agents with domain-specific knowledge will produce better results for advanced topics
3. Iteration: Users can refine outputs through multiple iterations with targeted feedback
4. Reusability: Component library enables consistent, high-quality visualizations across projects
5. User Control: Checkpoint system gives users full control over the generation process
6. Validation: Automated checks ensure correctness before rendering

Import In IDE

🤖 Prompt for AI Agents

## Observations

The Math-To-Manim project uses a six-agent pipeline to generate Manim animations from natural language. The current architecture generates monolithic code in a single pass without intermediate editing capabilities. The user's issue highlights two critical problems: (1) generated code cannot be edited easily due to its monolithic structure, and (2) quality is poor for complex mathematical topics like Euler's polyhedron formula and characteristic classes. The system lacks modularity, iterative refinement, and component-based generation that would enable users to customize and improve outputs.

## Approach

The solution focuses on transforming the current single-shot generation into an **iterative, modular, and editable workflow**. This involves: (1) restructuring code generation to produce modular, component-based Manim scenes with clear separation of concerns, (2) adding intermediate review/editing checkpoints between agent stages, (3) implementing a component library system for reusable animation elements, (4) enhancing the PrerequisiteExplorer and MathematicalEnricher agents for better handling of advanced topology concepts, and (5) creating an interactive refinement loop that allows users to edit verbose prompts, visual specifications, and generated code before final rendering.

## Implementation Plan

### 1. Modular Code Generation Architecture

**Objective**: Transform monolithic code generation into component-based, editable modules

#### 1.1 Refactor CodeGenerator Agent Prompts

Update the `CODE_GENERATOR_PROMPT` in `file:Gemini3/src/agents.py` and `file:skill/skills/math-to-manim/references/agent-system-prompts.md`:

- Add instructions to generate code with clear method separation (one method per concept/scene)
- Require extraction of reusable components into separate helper methods
- Mandate configuration dictionaries for colors, positions, timing at class level
- Enforce naming conventions: `scene_<concept_name>()`, `create_<element_name>()`, `animate_<action>()`
- Add docstrings to each method explaining its purpose and parameters

#### 1.2 Create Component Library System

Establish a new directory structure:
```
src/components/
├── __init__.py
├── base_components.py      # Base classes for reusable elements
├── equations.py             # LaTeX equation components
├── graphs.py                # Graph and plot components
├── geometry.py              # Geometric shapes and transformations
├── topology.py              # Topology-specific components (NEW)
└── animations.py            # Common animation patterns
```

Implement base component classes with:
- Configurable parameters (colors, sizes, positions)
- Standard interfaces for creation, animation, and transformation
- Composition support for building complex elements from simple ones

#### 1.3 Enhance Code Generation Template

Modify code generation in `file:Gemini3/src/pipeline.py` and `file:src/app_claude.py`:

- Generate code using a template that imports from component library
- Structure output as:
  ```python
  class ConceptAnimation(ThreeDScene):
      # Configuration section
      CONFIG = {
          'colors': {...},
          'positions': {...},
          'timing': {...}
      }
      
      def construct(self):
          self.setup_scene()
          self.scene_foundation()
          self.scene_intermediate()
          self.scene_target()
      
      # Separate methods for each concept
      def scene_foundation(self): ...
      def scene_intermediate(self): ...
      def scene_target(self): ...
      
      # Reusable component creators
      def create_equation(self, tex, color, position): ...
      def create_graph(self, func, range, color): ...
  ```

### 2. Intermediate Editing Checkpoints

**Objective**: Enable user review and modification at each pipeline stage

#### 2.1 Add Interactive Review Interface

Extend `file:src/app_claude.py` Gradio interface:

- Add new tab "Pipeline Review Mode" with step-by-step workflow
- Display output from each agent with edit capability:
  - ConceptAnalyzer output → JSON editor
  - PrerequisiteExplorer tree → Interactive tree visualization with node editing
  - MathematicalEnricher content → LaTeX editor with live preview
  - VisualDesigner specs → Visual specification editor
  - NarrativeComposer prompt → Rich text editor with syntax highlighting
  - CodeGenerator output → Code editor with syntax highlighting

#### 2.2 Implement Checkpoint System

Create new file `file:src/pipeline/checkpoint_manager.py`:

- Save pipeline state after each agent execution
- Allow resuming from any checkpoint
- Support branching (try different approaches from same checkpoint)
- Store checkpoint history for comparison
- Enable rollback to previous stages

#### 2.3 Add Validation Hooks

Implement validation between stages:

- LaTeX syntax validation after MathematicalEnricher
- Visual specification schema validation after VisualDesigner
- Manim code syntax checking after CodeGenerator
- Provide clear error messages and suggestions for fixes

### 3. Enhanced Agent Capabilities for Advanced Mathematics

**Objective**: Improve quality for complex topics like topology and characteristic classes

#### 3.1 Enhance PrerequisiteExplorer for Topology

Update `file:Gemini3/src/agents.py` PREREQUISITE_EXPLORER_PROMPT:

- Add domain-specific knowledge for topology concepts
- Include prerequisite patterns for:
  - Euler characteristic → polyhedra → graph theory → basic counting
  - Characteristic classes → fiber bundles → differential geometry → manifolds
  - Homology/cohomology → algebraic topology → group theory
- Implement depth control to prevent over-simplification of advanced topics

#### 3.2 Strengthen MathematicalEnricher

Update MATHEMATICAL_ENRICHER_PROMPT in `file:Gemini3/src/agents.py`:

- Add specialized templates for topology concepts
- Include visual intuition alongside formal definitions
- Provide multiple representations (algebraic, geometric, combinatorial)
- Add historical context and motivation for abstract concepts
- Include concrete examples before generalizations

#### 3.3 Create Domain-Specific Visual Patterns

Add to `file:skill/skills/math-to-manim/references/manim-code-patterns.md`:

- Topology visualization patterns:
  - Polyhedra construction and manipulation
  - Surface deformation and homotopy
  - Fiber bundle visualization
  - Characteristic class representation
- Include example code snippets for each pattern

### 4. Iterative Refinement Workflow

**Objective**: Enable users to improve outputs through multiple iterations

#### 4.1 Implement Feedback Loop System

Create new file `file:src/pipeline/refinement_engine.py`:

- Accept user feedback on generated output (text description or structured)
- Analyze feedback to identify which agent needs adjustment
- Generate refined prompts for specific agents
- Re-run only affected agents and downstream dependencies
- Compare old vs new outputs side-by-side

#### 4.2 Add Partial Regeneration

Modify `file:Gemini3/src/pipeline.py`:

- Support regenerating specific scenes without full pipeline re-run
- Allow editing individual scene methods and re-rendering
- Implement scene-level caching to speed up iterations
- Enable A/B testing of different approaches for same concept

#### 4.3 Create Refinement Prompts

Add refinement-specific prompts for each agent:

- "Improve clarity of this explanation"
- "Add more visual detail to this scene"
- "Simplify this equation presentation"
- "Enhance color scheme for better contrast"
- "Adjust timing for better pacing"

### 5. Component Library for Topology and Advanced Math

**Objective**: Provide pre-built, high-quality components for complex topics

#### 5.1 Implement Topology Components

Create `file:src/components/topology.py`:

```python
# Polyhedron class with Euler characteristic calculation
# Surface class with genus and characteristic class support
# Fiber bundle visualization components
# Homotopy animation helpers
# Characteristic class visualization tools
```

#### 5.2 Create Example Templates

Add to `file:examples/mathematics/topology/`:

- `euler_characteristic_demo.py` - V-E+F=2 with multiple polyhedra
- `characteristic_classes_intro.py` - From Euler to Chern classes
- `fiber_bundles_visual.py` - Tangent bundle and normal bundle
- `homology_intuition.py` - Visual introduction to homology

#### 5.3 Build Template System

Create `file:src/templates/`:

- Define animation templates for common mathematical structures
- Allow users to select template and customize parameters
- Templates include:
  - Theorem proof structure
  - Definition → Example → Generalization
  - Historical development narrative
  - Concept comparison and contrast

### 6. Quality Assurance and Validation

**Objective**: Ensure generated code is correct and high-quality

#### 6.1 Implement Code Validation

Create `file:src/validation/code_validator.py`:

- Static analysis of generated Manim code
- Check for common errors (missing imports, undefined variables)
- Validate LaTeX syntax before code generation
- Test code execution in sandbox environment
- Provide detailed error reports with fix suggestions

#### 6.2 Add Mathematical Correctness Checks

Create `file:src/validation/math_validator.py`:

- Verify equation consistency across scenes
- Check dimensional analysis for physics equations
- Validate mathematical notation conventions
- Cross-reference with known formulas (SymPy integration)

#### 6.3 Implement Preview System

Enhance `file:src/app_claude.py`:

- Add quick preview rendering (low quality, fast)
- Show frame-by-frame breakdown of animation
- Display timing information and scene transitions
- Allow scrubbing through animation timeline
- Enable frame-level editing and adjustment

### 7. Documentation and User Guidance

**Objective**: Help users understand and effectively use the system

#### 7.1 Create Editing Guide

Add `file:docs/EDITING_GUIDE.md`:

- How to modify generated code effectively
- Component library usage examples
- Common customization patterns
- Troubleshooting guide for editing issues
- Best practices for iterative refinement

#### 7.2 Add Interactive Tutorials

Implement in Gradio interface:

- Step-by-step tutorial for creating editable animations
- Interactive examples showing editing workflow
- Video demonstrations of refinement process
- Common use cases with solutions

#### 7.3 Enhance Error Messages

Update all agents to provide:

- Clear, actionable error messages
- Suggestions for fixes
- Links to relevant documentation
- Examples of correct usage

### 8. Pipeline Orchestration Improvements

**Objective**: Better coordination and control of agent workflow

#### 8.1 Add Pipeline Configuration

Create `file:src/pipeline/config.py`:

- User-configurable pipeline parameters
- Agent selection (which agents to use)
- Quality vs speed tradeoffs
- Output format preferences
- Caching and optimization settings

#### 8.2 Implement Progress Tracking

Enhance `file:Gemini3/src/pipeline.py`:

- Real-time progress updates for each agent
- Estimated time remaining
- Resource usage monitoring
- Ability to pause/resume pipeline execution

#### 8.3 Add Parallel Processing

Optimize pipeline for independent operations:

- Run MathematicalEnricher and VisualDesigner in parallel
- Cache intermediate results for faster iterations
- Implement smart caching based on input similarity

## Implementation Sequence

```mermaid
graph TD
    A[Phase 1: Modular Code Generation] --> B[Phase 2: Checkpoint System]
    B --> C[Phase 3: Enhanced Agents]
    C --> D[Phase 4: Component Library]
    D --> E[Phase 5: Refinement Workflow]
    E --> F[Phase 6: Validation & QA]
    F --> G[Phase 7: Documentation]
    
    A --> A1[Refactor CodeGenerator]
    A --> A2[Create Component Base]
    A --> A3[Update Templates]
    
    B --> B1[Interactive Review UI]
    B --> B2[Checkpoint Manager]
    B --> B3[Validation Hooks]
    
    C --> C1[Topology Prerequisites]
    C --> C2[Math Enricher Enhancement]
    C --> C3[Visual Patterns]
    
    D --> D1[Topology Components]
    D --> D2[Example Templates]
    D --> D3[Template System]
    
    E --> E1[Feedback Loop]
    E --> E2[Partial Regeneration]
    E --> E3[Refinement Prompts]
    
    F --> F1[Code Validation]
    F --> F2[Math Validation]
    F --> F3[Preview System]
    
    G --> G1[Editing Guide]
    G --> G2[Tutorials]
    G --> G3[Error Messages]
```

## Key Files to Modify

- `file:Gemini3/src/agents.py` - Update all agent prompts for modularity
- `file:Gemini3/src/pipeline.py` - Add checkpoint and refinement support
- `file:src/app_claude.py` - Add interactive review interface
- `file:skill/skills/math-to-manim/references/agent-system-prompts.md` - Document new agent capabilities
- `file:skill/skills/math-to-manim/references/manim-code-patterns.md` - Add topology patterns
- `file:skill/skills/math-to-manim/references/verbose-prompt-format.md` - Update for modular generation

## Expected Outcomes

1. **Editability**: Generated code will be modular with clear separation of concerns, enabling easy customization
2. **Quality**: Enhanced agents with domain-specific knowledge will produce better results for advanced topics
3. **Iteration**: Users can refine outputs through multiple iterations with targeted feedback
4. **Reusability**: Component library enables consistent, high-quality visualizations across projects
5. **User Control**: Checkpoint system gives users full control over the generation process
6. **Validation**: Automated checks ensure correctness before rendering

---

Execution Information

Branch: main
Commit: 63cf2f1

---

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[HarleyCoops]

感谢您的反馈！🙏

关于自定义动画外观

您可以通过修改这个文件来控制动画的基本特性：
skill/skills/math-to-manim/references/agent-system-prompts.md

这个文件包含了所有六个代理的系统提示词，您可以根据需要调整视觉设计、颜色方案、动画风格等参数。

关于编辑功能

您说得对，目前最大的限制是生成后无法编辑。我正在考虑两个解决方案：

1. 人机协作界面 - 允许用户通过文本指令实时修改动画
2. 视觉编辑代理 - 一个可以接收图像标注/修改，并将其转换为Manim代码编辑的AI代理

这些功能正在规划中。

欧拉多面体公式视频

好消息！我会制作一个关于欧拉多面体公式 (V-E+F=2) 及其推广到特征类的教学视频，完成后会在这里分享。

敬请期待！

[foocker]

感谢您的反馈！🙏

关于自定义动画外观

您可以通过修改这个文件来控制动画的基本特性： skill/skills/math-to-manim/references/agent-system-prompts.md

这个文件包含了所有六个代理的系统提示词，您可以根据需要调整视觉设计、颜色方案、动画风格等参数。

关于编辑功能

您说得对，目前最大的限制是生成后无法编辑。我正在考虑两个解决方案：

1. 人机协作界面 - 允许用户通过文本指令实时修改动画
2. 视觉编辑代理 - 一个可以接收图像标注/修改，并将其转换为Manim代码编辑的AI代理

这些功能正在规划中。

欧拉多面体公式视频

好消息！我会制作一个关于欧拉多面体公式 (V-E+F=2) 及其推广到特征类的教学视频，完成后会在这里分享。

敬请期待！

很高兴这些功能在规划中，我自己也尝试做了一天，发现，周期可能有点长，(agent开发，manim语法，一些几何包等）。现在可能好一些了。

[HarleyCoops]

Update: Euler's Polyhedron Formula Animation Complete! 🎬

We've created a comprehensive Manim animation for Euler's Polyhedron Formula (V - E + F = 2) following the six-agent Math-To-Manim pipeline.

Animation Structure (7 Scenes):

1. Opening Scene - Mystery of Counting: Introduces vertices, edges, and faces
2. Act 1: Tetrahedron - V=4, E=6, F=4 → 4-6+4=2 ✓
3. Act 2: Cube Test - V=8, E=12, F=6 → 8-12+6=2 ✓
4. Act 3: Dodecahedron Challenge - V=20, E=30, F=12 → 20-30+12=2 ✓
5. Act 4: Proof Intuition - Continuous deformation to sphere demonstration
6. Act 5: Euler Characteristic Generalization - χ = 2 - 2g (genus)
   • Sphere (g=0): χ = 2
   • Torus (g=1): χ = 0
   • Double Torus (g=2): χ = -2
7. Closing Scene - "Topology cares not about size or shape - only about connectivity and holes"

Files:

• Animation code: examples/mathematics/topology/euler_polyhedron_formula.py
• Rendered video: media/videos/euler_polyhedron_formula/720p30/EulerPolyhedronFormula.mp4

Also Updated:

The Kimi Agent pipeline has been upgraded from K2 Thinking to K2.5 Swarm - see README for details.

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更新：欧拉多面体公式动画完成！🎬

我们已使用六代理Math-To-Manim流程创建了完整的欧拉多面体公式 (V - E + F = 2) Manim动画。

动画包含7个场景，从基础的四面体、立方体、十二面体计数，到球面的连续变形证明直觉，最后推广到欧拉示性数 χ = 2 - 2g（包括球面、环面、双环面的演示）。

希望这对您的数学科普视频有所帮助！

[foocker]

感谢您的反馈！🙏

关于自定义动画外观

您可以通过修改这个文件来控制动画的基本特性： skill/skills/math-to-manim/references/agent-system-prompts.md

这个文件包含了所有六个代理的系统提示词，您可以根据需要调整视觉设计、颜色方案、动画风格等参数。

关于编辑功能

您说得对，目前最大的限制是生成后无法编辑。我正在考虑两个解决方案：

1. 人机协作界面 - 允许用户通过文本指令实时修改动画
2. 视觉编辑代理 - 一个可以接收图像标注/修改，并将其转换为Manim代码编辑的AI代理

这些功能正在规划中。

欧拉多面体公式视频

好消息！我会制作一个关于欧拉多面体公式 (V-E+F=2) 及其推广到特征类的教学视频，完成后会在这里分享。

敬请期待！

目前视频可编辑部分有什么进展吗？