Flat torus / Some meshes
Main files
We provide here the files that have been used to realize the 3D prints of the square Flat Torus by Gi-Nova.
-
Tore3500_th.zbd.gz (zprinter format file that can be directly used on a zprinter650)
-
Tore3500.wrl.gz (one torus in a vrml format)
Other files
We also provide others files with different parameters. We recall that the embedding of the square torus is a map from the unit square to the three dimensional space.
In the discrete setting, it is encoded by the image f(i/N,j/N) of each point (i/N,j/N) of the grid of the unit square.
The name of each file describes the content of each file:
- The torus is complete, or there is just a half or a fourth: Full / Half / Fourth
- The grid is subdivided in triangles or in squares: triangleMesh / squareMesh
- The number of points in the grid is N*N, where N varies between 3500 and 5000
Entire Flat Tori with three corrugations
- FlatTorus_Full_squareMesh_N=3500.wrl.gz
- FlatTorus_Full_squareMesh_N=4000.wrl.gz
- FlatTorus_Full_squareMesh_N=4500.wrl.gz
- FlatTorus_Full_squareMesh_N=5000.wrl.gz
- FlatTorus_Full_triangleMesh_N=3500.wrl.gz
- FlatTorus_Full_triangleMesh_N=4000.wrl.gz
- FlatTorus_Full_triangleMesh_N=4500.wrl.gz
- FlatTorus_Full_triangleMesh_N=5000.wrl.gz
Half Flat Tori, with three corrugations
- FlatTorus_Half_squareMesh_N=3500.wrl.gz
- FlatTorus_Half_squareMesh_N=4000.wrl.gz
- FlatTorus_Half_squareMesh_N=4500.wrl.gz
- FlatTorus_Half_squareMesh_N=5000.wrl.gz
- FlatTorus_Half_triangleMesh_N=3500.wrl.gz
- FlatTorus_Half_triangleMesh_N=4000.wrl.gz
- FlatTorus_Half_triangleMesh_N=4500.wrl.gz
- FlatTorus_Half_triangleMesh_N=5000.wrl.gz
Fourths of Flat Tori, with three corrugations
- FlatTorus_Fourth_squareMesh_N=3500.wrl.gz
- FlatTorus_Fourth_squareMesh_N=4000.wrl.gz
- FlatTorus_Fourth_squareMesh_N=4500.wrl.gz
- FlatTorus_Fourth_squareMesh_N=5000.wrl.gz
- FlatTorus_Fourth_triangleMesh_N=3500.wrl.gz
- FlatTorus_Fourth_triangleMesh_N=4000.wrl.gz
- FlatTorus_Fourth_triangleMesh_N=4500.wrl.gz
- FlatTorus_Fourth_triangleMesh_N=5000.wrl.gz
Tori with one or two corrugations
Here, the discretisation is a grid of size N*N, where N=1500. The torus can be complete, or there is just half a torus or a fourth of a torus.
- Torus_1corrugation_Full_triangleMesh_N=1500.wrl.gz
- Torus_1corrugation_Half_triangleMesh_N=1500.wrl.gz
- Torus_1corrugation_Fourth_triangleMesh_N=1500.wrl.gz
- Torus_2corrugation_Full_triangleMesh_N=1500.wrl.gz
- Torus_2corrugation_Half_triangleMesh_N=1500.wrl.gz
- Torus_2corrugation_Fourth_triangleMesh_N=1500.wrl.gz
