When I made the double torus that Wilfred asked for, I thought about other torus-like shapes. For example a ball with a hole drilled through it, like a bead. And what would a bead like that look like if you drilled more holes through it, one from top to bottom, one from left to right, and the last one front to back? Or more to the point, what would its surface look like?
That was a bit hard to imagine exactly, so I decided to make one to find out. And I figured I wouldn’t worry about making it nice and spherical, but concentrate instead on the three ‘tunnels’ that meet in the center. I started with one of the faces, worked my way in, turned left and then outward to another face, joined the two faces on the edge, continued with the third, and so on.
(I tried to write down the procedure in more detail, but then I should have made some pictures along the way to make it a bit clear… if you want to make one yourself, try figure it out from here! :-))
Larger pictures are below the fold.
Here is the cube-with-holes in more detail…
And this is the bead.
I really like the reflection on the table in this picture.