Ball Turning Attachment Views
The right photo shows a ball turning attachment that rotates about the horizontal axis that is perpendicular to the lathe's axis. The bit rotates about a 1-in. shank that is supported by a horizontal 1-in. Aloris style boring bar holder. Once the height of the shank's center is set to that of the lathe's axis, the attachment can be removed and subsequently reattached to the toolpost and remains on center. The ball radius is determined by adjusting the offset slide attached to the shank. A box wrench is used to turn the tool around the ball being cut.
This ball turning attachment to fit the minilathe is based on Steve Bedair's design for his 9X20. Here's another view. It uses a TNMG insert which is necessarily angled downward 5 degrees. This design has a large bearing surface for the rotor plus minimal extension of the cutter from its holder to minimize the chance of chatter.