About the Project

Inspiration

Math is powerful but often abstract

I wanted to make those invisible concepts tangible. By combining the symbolic power of the Wolfram Language with the visual storytelling of Manim, I set out to turn complex integrals into clear, animated experiences.

What I Learned

• How to integrate Wolfram Language into a Python pipeline to compute exact symbolic integrals and generate LaTeX.
  
• How to use Manim to render smooth 3D animations of solids of revolution.
  
• How symbolic math and visualization can complement each other to deepen understanding.
  

How I Built It

1. Wolfram Language: I wrote WolframScript (.wls) files to parse functions, compute symbolic integrals, and determine key values like y_max.
   
2. Python + Manim: I built a ThreeDScene that takes functions f(x), intervals [a, b], and Wolfram outputs, and then animates the solid of revolution with rotation, slicing, and radius visualization.
   
3. Integration: A lightweight Python bridge calls Wolfram, retrieves JSON results, and feeds them directly into the Manim scene.
   

Challenges I Faced

• Bridging two ecosystems: Ensuring Python and Wolfram communicated smoothly via wolframscript and JSON.
  
• Dynamic parsing: Handling functions entered in Python syntax (exp(x), sin(x)) and translating them to Wolfram syntax (Exp[x], Sin[x]).
  
• Scaling visuals: Automatically computing axis limits and ranges so any function from sin(x) to e^x looks clean in 3D.
  
• Time pressure: Balancing learning Wolfram tools, Manim’s API, and hackathon deadlines while still producing a polished final demo.
  

Built With

• manim
• numpy
• python
• wolfram-technologies
• wolframscript