The concept of a segmented ribbon ring was I believe created by Malcom Tibbett. They are made by turning a number of identical truncated hollow cones, splitting them and assembling them into a ribbon ring. My introduction to these ribbons was through the "follow on" presented by Al Moitke on the American Segmented Woodturners site. If you haven't seen this site before it is well worth a look.
All the designs I saw were based on the simplest symmetric design, splitting the cones down the middle, which has the advantage that you only need to turn half as many cones as segments in your ring, and the design parameters are easily obtained. The disadvantage is that you are restricted to the one shape for your ribbon - a semi-circular arc. Watching the "follow on" caused me to wonder whether a design procedure could be derived to give both shallow and deep shapes for the ribbon.
Whilst doing this investigation I realised that the shapes
of the outer edge and the inner edge of the ring are independent and are connected
by a joint surface (where the cone will be split) which itself is independent of the
cone axis. You can also make the joint surface point down (or up) in the radial
direction which causes the ring to be 'dished'.It is also possible to assemble the ring as
an oval, a semi-rectangle and even as a straight line.
These design parameters give us many choices in the appearance of the ring without significantly increasing the difficulty of making and assembling the ring. But more of this in the design page.
My objective is to make these design variations available to all segmented turners without the need for any maths. Once you have the measurements (these will be provided in the specify page.) to make the work pieces, work holders and the cones it is just straight forward woodies work.
For those of you who are not going to make a ring but want to know what can be done, read the design page. If you are going to make a ring read the design, specify,making and assembly pages. If however you want to understand how the design procedures for these different shapes were derived then turn to the theory page.
I hope you will find this web application enjoyable and informative.
Note. Clicking on a figure will change its size.