About Our Lab
日本語
Our research group explores a wide range of topics at the intersection of mathematics, design, and art - spanning fields
such as computer graphics (CG), textiles, and architecture. We aim to reinterpret these creative domains through
mathematics.
While modern mathematics has become abstract and often seems distant from the act of creation, we believe it holds
untapped potential for creative expression. By uncovering these hidden possibilities, we use computers to implement and
materialize mathematical theories.
Research Themes
- Computer Graphics (CG)
- Modeling and texturing through procedural techniques
- Visualization of mathematical phenomena
- Experiencing mathematics in virtual reality (VR)
- Shape generation using high-dimensional structures
- Textiles
- Mathematics behind weaving and knitting
- Fabric production using looms and knitting machines
- Applications to fashion and e-textiles
- Procedural textile generation
- Architecture
- Architectural design through mathematics
- Structural design using discrete differential geometry
- Applying woven structures to architecture
- Transformation groups preserving architectural properties
- Digital Fabrication
- Space-filling geometries optimized for additive manufacturing
- Metamaterials and mathematical structures
- Media Art
- Real-time interaction through procedural graphics
- Collaborative artworks with artists or designers
In addition to the areas listed above, we actively engage with a wide range of research topics aligned with our mission:
to connect abstract mathematics with the tangible act of creation.