Abstract
We design a 3D surface made by continuous deformation applied to a single tile. The contour edges are aligned according to the network topology of a Pied-de-poule tessellation. In a classical tessellation, each edge is aligned with a matching edge of a neighbouring tile, but here the single tile acts as a neighbouring tile too. The continuous deformation mapping the Pied-de-poule tile to the 3D surface preserves the staircase nature of the contour edges of the tile. It is a diffeomorphism. The 3D surface thus appears as a torus with gaps where the sides of the tile meet. Next we present another surface, also a single Pied-de-poule tile, but with different tessellation type, a Klein bottle. Both surfaces are 3D printed as innovative art works, connecting topological manifolds and the famous fashion pattern.
Original language | English |
---|---|
Title of host publication | Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture |
Editors | Eve Torrence, Bruce Torrence, Carlo Séquin, Kristóf Fenyvesi |
Place of Publication | Stockholm |
Publisher | Tessellations Publishing |
Pages | 115 |
Number of pages | 122 |
ISBN (Print) | 978-1-938664-27-4 |
Publication status | Published - 29 Jul 2018 |
Event | BRIDGES 2018: Mathematics, Art, Music, Architecture, Education, Culture - The National Museum of Science and Technology (Tekniska museet) , Stockholm, Sweden, Sweden Duration: 25 Jul 2018 → 29 Jul 2018 |
Conference
Conference | BRIDGES 2018 |
---|---|
Abbreviated title | Bidges |
Country/Territory | Sweden |
City | Stockholm, Sweden |
Period | 25/07/18 → 29/07/18 |
Keywords
- Tessellations, Manifolds, Textile Pattern