# The spinor linkage – a mechanical implementation of the plate trick

```@article{Holroyd2022TheSL,
title={The spinor linkage – a mechanical implementation of the plate trick},
author={Alexander E. Holroyd},
journal={Journal of Mathematics and the Arts},
year={2022},
volume={16},
pages={133 - 161}
}```
• A. Holroyd
• Published 4 July 2021
• Engineering
• Journal of Mathematics and the Arts
The plate trick or belt trick is a striking physical demonstration of properties of the double cover of the three-dimensional rotation group by the sphere of unit quaternions or spinors. The two ends of a flexible object are continuously rotated with respect to each other. Surprisingly, the object can be manipulated so as to avoid accumulating twists. We present a new mechanical linkage that implements this task. It consists of a sequence of rigid bodies connected by hinge joints, together with…
1 Citations

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