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# System prepended metadata

title: The Classification of Donuts with Non-Commutative Geometry

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---
title: 'The Classification of Donuts with Non-Commutative Geometry'
---

![](https://i.imgur.com/lcG1Pa4.png)




![](https://i.imgur.com/qv8gWsr.png)




![](https://i.imgur.com/xJLTsqb.png)




![](https://i.imgur.com/qyWyEX4.png)




![](https://i.imgur.com/gxlOX8x.png)


