Sep 12, 2025 What happens when advanced mathematics meets manufacturing? In this episode, we dive into the world of Elissa Ross, CEO of Metafold 3D, whose platform is redefining what’s possible in 3D printing. Through her journey, we explore how new mathematical frameworks like implicit modeling and signed distance functions (SDFs) are transforming how engineers design, simulate, and manufacture complex structures. Elissa shares her unconventional path from discrete geometry research to startup leadership, and why shifting from traditional CAD to mathematics-driven design could unlock the next wave of innovation.
⚠️ Disclaimer:
This podcast is for educational and informational purposes only. The views expressed do not constitute medical or financial advice. The technologies and procedures discussed may not be commercially available or suitable for every case. Always consult with a licensed professional.
About Our Guest
Elissa Ross, PhD, is a mathematician and the CEO of Toronto-based software startup Metafold 3D. Elissa holds a PhD in discrete geometry (2011), and worked as an industrial geometry consultant prior to cofounding Metafold. Metafold’s “Geometric Intelligence™” platform is an API for 3D Shape Analysis. Throughout her 20+ years of experience as a research and consulting mathematician, Elissa has been passionate about empowering engineers, scientists, and designers to overcome geometric obstacles and achieve innovative and creative outcomes.
Key Takeaways
- Traditional CAD software, built on explicit geometry kernels, faces limitations when modeling highly complex structures like lattices or metamaterials.
- Metafold 3D uses implicit modeling and signed distance functions (SDFs) to enable greater scalability, flexibility, and manufacturability in 3D printing.
- Applications range from medical simulations (e.g., HeartFlow’s aneurysm modeling) to lightweight structures and next-generation metamaterials.
- The history of CAD shows how far computational geometry has come, yet also why new mathematical approaches are necessary.
- For Elissa, the transition from pure mathematics research to startup leadership reflects her passion for applying theory to real-world engineering challenges.
Traditional CAD Obstacles
- CAD tools like AutoCAD or Fusion 360 rely on explicit geometry representations that can break down with highly detailed designs.
- Engineers often face performance bottlenecks, difficulty in simulation, or outright design failures when attempting complex geometries.
- This limits innovation in industries like aerospace, medical devices, and advanced manufacturing.
Metafold’s Approach
- Implicit modeling (based on SDFs) represents shapes as mathematical functions rather than explicit surface meshes
- This allows for:
- Efficient modeling of highly complex, repeating structures.
- Direct compatibility with simulation tools and additive manufacturing workflows.
- Reduction of file size and computational burden.
- Metafold’s Geometric Intelligence™ platform offers APIs that let engineers integrate these methods into existing design pipelines.
Metafold’s Journey
- Founded to address geometric obstacles that prevented the advanced adoption of 3D printing.
- Built a team combining mathematicians, engineers, and software developers.
- Developed core IP around implicit modeling and geometric analysis.
- Partnered with engineers in fields like medical devices and aerospace to validate the approach in real-world use cases.
- Continues to expand its platform for scalable, cloud-based design and simulation.
Future Outlook
- Expect continued growth of implicit modeling as industries push past CAD’s limitations.
- Metafold aims to become a core enabler of metamaterials, bio-inspired design, and simulation workflows.
- The rise of mathematics-driven design could fundamentally reshape the way products are conceptualized, analyzed, and manufactured.
Resources & Follow-up
🔗 Other Profiles & Interviews
- 3DHEALS Interview: “Interview with Elissa Ross: Mathematics Behind Metafold 3D”
- YouTube Excerpt: “Elissa Ross, CEO of Metafold 3D on Mathematics and 3D Printing”
- Machine Design: “Achieving Complex Geometries in 3D Printing – Interview with Elissa Ross”
- Differential Ventures: “On the Record with Elissa Ross, CoFounder & CEO of Metafold”
🔗 Organizations Mentioned
🔗 Engineering & Mathematical Concepts, History
- Metafold Documentation: Core Concepts
- Additive Manufacturing Media: “Implicit Modeling and Metamaterials”
- Wikipedia: History of CAD Software
- Wikipedia: Signed Distance Function
- Geometric Modeling Kernels
🔗 Social & Career Profiles
📚 Books Mentioned :
Underland: A Deep Time Journey by Robert McFarlane
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