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GrowCAD: bioinspired mathematical design for additive manufacturing
Nasim Mahmoodi1, Galane Jingxi Luo2, Rosemary Julia Dyson2
1School of Engineering, University of Birmingham, Birmingham, UK.
Royal Society Open Science
|September 26, 2025
Summary
This study introduces GrowCAD™, a novel design framework inspired by plant growth for additive manufacturing (AM). It enhances engineer creativity and simplifies the design process for complex AM geometries.
Area of Science:
- Engineering
- Computer Science
- Biomimetics
Background:
- Additive Manufacturing (AM) offers significant benefits but faces challenges in design implementation.
- Current AM design processes are complex, involving geometry representation, software, and human problem-solving.
- Enhancing engineer knowledge and creativity is crucial for overcoming design limitations.
Purpose of the Study:
- To develop a novel design framework for Additive Manufacturing.
- To enhance human knowledge and creativity in AM design.
- To address the challenges of geometry representation and manufacturability in AM.
Main Methods:
- A bioinspired methodology is introduced, using plant growth as an analogy for the layer-by-layer AM process.
- Development of a novel length-polar-projection coordinate system and algebraic definitions for geometric features.
- Creation of the GrowCAD™ design framework based on this mathematical representation.
Main Results:
- The GrowCAD™ framework enables manufacturability analysis, parametric editability, and CAD compatibility.
- Qualitative analysis validated shape fidelity, efficiency, detection of non-manufacturable geometry, and printability.
- The developed system successfully generated and printed complex geometries.
Conclusions:
- GrowCAD™ provides a simplified and intuitive method to enhance engineer knowledge and creativity in AM design.
- The algebraic geometry representation facilitates manufacturability analysis and design iterations.
- This bioinspired approach offers a promising solution for wider AM implementation.

