Uploaded February 2014 | Updated September 2026, 2 weeks ago
Schwarz' D surface has chambers on both sides of the surface with 4 exiting tunnels going to other chambers, along the 4 directions of a tetrahedron. When you extend the 1296 dots unit shown in this video with the same logic it is made, it turns into the D surface. The cell forming Schoen's F-RD surface is very similar to a possible cutout of the D surface. I used this cutout to form an approach of the F-RD surface, in which on one side of that surface chambers have 8 exiting tunnels along the 8 directions of the faces of the octahedron, leading to smaller tetrahedral chambers, whereas on the other side of the surface chambers have 12 exiting tunnels, along the directions of the 12 edges of a cube.
For more information on these surfaces, see:
http://www.susqu.edu/brakke/evolver/examples/periodic/periodic.html
Schwarz' D surface has chambers on both sides of the surface with 4 exiting tunnels going to other chambers, along the 4 directions of a tetrahedron. When you extend the 1296 dots unit shown in this video with the same logic it is made, it turns into the D surface. The cell forming Schoen's F-RD surface is very similar to a possible cutout of the D surface. I used this cutout to form an approach of the F-RD surface, in which on one side of that surface chambers have 8 exiting tunnels along the 8 directions of the faces of the octahedron, leading to smaller tetrahedral chambers, whereas on the other side of the surface chambers have 12 exiting tunnels, along the directions of the 12 edges of a cube.
For more information on these surfaces, see:
http://www.susqu.edu/brakke/evolver/examples/periodic/periodic.html
