The Mathematics of Woodturning Extension: The Rose Engine

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Of the many variations on the art of woodturning, the Rose Engine Lathe provides a very nice mathematical extension to our activity.

The mechanical difference which makes Rose Engine Lathes mathematically interesting is that the headstock and tailstock rock back and forth while the wooden spindle is rotated, and the toolrest remains stationary. This rocking motion means the distance of the chisel from the axis of rotation, changes as the angle of rotation changes. The cross-section of the wooden spindle is no longer required to be circular.
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The Mathematics of Woodturning Extension: The Rose Engine
The Mathematics of Woodturning Extension: The Rose Engine
The Mathematics of Woodturning Extension: The Rose Engine
The Mathematics of Woodturning Extension: The Rose Engine