by

Of all the shaped rings that
makes, the Möbius ring is the most popular and the most versatile.
The design attributes its name to the 19th century German mathematician August Möbius who was a pioneer of topology. The Möbius twist is made by putting a half-twist in a flat strip. The two-dimensional surface has (effectively) only one side, and the edges of the strip are contiguous.

A möbius twist ring can be made in a flat section, or with a D-section.
. . . . . . . . . . . and
can also style the ring with some special patterns:

So far we have looked at möbius rings which are symmetrical, with a fairly small recess on either side at the top of the band that will accomodate a solitaire engagement ring.
If the twist at the top is offset to one side, it is possible to make the recess larger, so that it will provide space for an engagement ring with a larger top. Here it works well with a three-stone ring, and the distal side of the ring is straight.
But the offset can be made greater, forming a swerve from the twist that can be sufficient to make space for, and neatly skirt, a cluster setting. The overall effect is a very attractive combination and there are a number of illustrations of ring pairs where
has provided a neat custom-shaped ring rising into a collar that lovingly nestles around the gemstone.
also make möbius twist rings in platinum. . . . . .

. . . . . . . and in 18 carat gold with platinum edges
Similar to the Möbius twist is the Crossover Ring.
It sits lower to the finger and has two or three widths of D-section band.
The 3-strand version is available in platinum and gold. JXO3
Paired Examples of Möbius twist rings:
Swerved for Clusters: || qe08 | qe32 | qe39 | qe42 | qe59 | qe62 | qe64 ||