Abstract: A false-twist apparatus has a base defining a fixed axis on which is journaled a fixed disk assembly including a shaft and a plurality of disks journaled in the base with the shaft at the fixed axis and the disks spaced therealong. A pair of supports are pivotal on this base and define respective movable axes offset from their pivot axes. Journaled on each of these supports at the respective movable axis is a movable disk assembly including a shaft and a plurality of disks, the shaft lying on the respective movable axis and the disks being spaced therealong. The supports can be pivoted between inner positions with the disks overlapping and each assembly axis equispaced from the other two assembly axes and outer positions with the disk spaced radially. These supports can be secured in the inner positions for false-twisting of a filament passing axially up between the disks.