Here we go- fluted handle as on the pic above.
If you want to make a fluted handle, you will need divider, lathe and milling machine.
First, Jack mounts the divider on the milling table, then puts the special end mill in the vertical spindle of the milling machine.
You can make the end mill yourself. Use old center drill with the edge and dress it as a funnel shape.
Put a spindle diameter with the cross thread and original bronze nut 3/8 diameter in the divider. This spindle you can make from an old Yankee screwdriver.
Then take the piece of handle material -wood or ivory and drill through a hole 3/8-th.
Put it in the lathe machine and turn handle material down to diameter of the handle you need.
After it put the original bronze nut in the hole of handle material, put it on your spindle and support end of the spindle with the dead center.
Then take any screw and put in a handle material through from any side, reach the nut end and tighten the nut.
All this composition will remind screw and nut. The revolution of the end mill supposed to be very high - 7 or more thousand RPM, be very careful.
Then, hold the handle material with your fingers and move it carefully back and forth along the spindle. Gently bring the end mill down. The thread on the spindle going to work as a screw and handle material going to travel according the thread on the spindle. After the first time you will get nice spiral cut. Milling divider going to help you divide the outside diameter of the handle by 4, 5, 6 or more equal flutes.
Change the position of the divider after every cut and make the next cut after it is done. Every time you will bring the end mill more and more down.
Result of your work will be a number of accurate spirals on the handle. But reminding you again – please be very careful. Remember: there is no knife to die for. It’s my interpretation of Jack’s instruction. There is no details-only the concept.
ps. Bruce, tx for offer with pics, I use Imgur, so far it's OK. This method has no illustrations, I hope I rendered it in understandable way.

If not- my apology. Sorry for my weak technical vocabulary.