Torus

Overview

In Italian, there's a saying: "non tutte le ciambelle riescono col buco" which translates literally to "not all donuts end up with the hole" implying that things don't always turn out as expected. Mathematics has the power to do anything, which is why today, I'll demonstrate the transition of an object from a ring to a sphere.

Torus Theory

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Parameters

Let $\mathcal{r}$ and $\mathcal{R}$ denote respectively the major and minor radii of various toroidal and spherical objects:

Object	Inequality
Ring Torus	$\mathcal{R} > \mathcal{r} > 0$
Horn Torus	$\mathcal{R} = \mathcal{r} > 0$
Spindle Torus	$0 < \mathcal{R} < \mathcal{r}$
Sphere	$\mathcal{R} = 0 < \mathcal{r}$

Preview

Instructions

No configurations are required, just run the code.

Dependencies

To install the necessary dependencies, use the following command:

pip install <dependency_name>

License

This project is distributed under The Unlicense. You can find the complete text of the license in the project repository.