Mitosis relies on forces generated in the spindle, a micro-machine composed of microtubules and associated proteins 1,2 . Forces are required for the congression of chromosomes to the metaphase plate and separation of chromatids in anaphase [3][4][5][6] . However, torques may also exist in the spindle, yet they have not been investigated. Here we show that the spindle is chiral. Chirality is evident from the finding that microtubule bundles follow a left-handed helical path, which cannot be explained by forces but rather by torques acting in the bundles. STED super-resolution microscopy, as well as confocal microscopy, of human spindles shows that the bundles have complex curved shapes. The average helicity of the bundles with respect to the spindle axis is 1.2 °/µm. Inactivation of kinesin-5 (Eg5/Kif11) abolished the chirality of the spindle, suggesting that this motor generates the helical shape of microtubule bundles. To explain the observed shapes, we introduce a theoretical model for the balance of forces and torques acting in the spindle, and show that torque is required to generate the helical shapes. We conclude that torques generated by motor proteins, in addition to forces, exist in the spindle and determine its architecture.We set out to infer torques and forces in the spindle, by using the shape of microtubule bundles. We first used stimulated emission depletion (STED) super-resolution microscopy 7,8 to determine the shapes of microtubule bundles in metaphase spindles. We used HeLa cells with labeled microtubules, kinetochores and centrioles (Fig. 1a) and U2OS cells with labeled microtubules and kinetochores (Extended Data Fig. 1a). Single optical sections of metaphase spindles showed that microtubule bundles are continuous almost from pole to pole and acquire complex curved shapes (Fig. 1a). Typically, the outer bundles are curved and resemble a C-letter shape. Interestingly, some bundles throughout the spindle resemble the letter S. Thus, STED images of the spindle suggest that microtubules are arranged into well-defined bundles exhibiting a variety of shapes, which run continuously almost through the whole spindle.In order to obtain a complete three-dimensional contour of microtubule bundles, we used vertically oriented spindles, which are found occasionally in a population of mitotic cells, and . CC-BY-NC-ND 4.0 International license It is made available under a was not peer-reviewed) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity.The copyright holder for this preprint (which . http://dx.doi.org/10.1101/167437 doi: bioRxiv preprint first posted online Jul. 22, 2017; imaged them by confocal microscopy (Fig. 1b). In these spindles, optical sections are roughly perpendicular to the microtubule bundles, allowing for precise determination of the bundle location in each section and thus of the whole three-dimensional contour (Methods). We used fixed HeLa cells expressing GFP-tagged protein regulator of cytokinesis 1 (PRC1) 9,10 , which binds ove...