Umbilic torus

The lone edge goes three times around the ring before returning to the starting point.

[2] John Robinson created a sculpture Eternity based on the shape in 1989, this had a triangular cross-section rather than a deltoid of a true Umbilic bracelet.

[1] Helaman Ferguson has created a 27-inch (69 centimeters) bronze sculpture, Umbilic Torus, and it is his most widely known piece of art.

In 2010, it was announced that Jim Simons had commissioned an Umbilic Torus sculpture to be constructed outside the Math and Physics buildings at Stony Brook University, in proximity to the Simons Center for Geometry and Physics.

The torus is made out of cast bronze, and is mounted on a stainless steel column.

[3] In the short story What Dead Men Tell[4] by Theodore Sturgeon, the main action takes place in a seemingly endless corridor with the cross section of an equilateral triangle.

This gave an endless corridor in which after three passes one came back to the point where one started.

Eternity by John Robinson
Ferguson's Umbilic Torus at Stony Brook University