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https://github.com/fractalate/math

Open Mathematics
https://github.com/fractalate/math

mathematics

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Open Mathematics

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README

        

# Open Mathematics

Welcome to my open mathematics research! I believe mathematical ideas should be shared freely, so I work on my projects openly and I hope that you find something interesting.

Here's what I've been working on:

* [Circle Cuts (PDF)](./papers/circle_cuts/cuts.pdf) - Give a couple simple rules for cutting a circle and subsequent shapes, how many distinct configurations can be reached after $n$ cuts?
* [Polynomial Roots Iteration](./research/polynomial_roots/README.md) - What happens when you use the roots of a polynomial for the coefficients of a new polynomial?

## Papers

Here are some papers I've written:

* [Convex Split-Face Polygon Cuts (PDF, 2022)](./papers/convex_split_face_polygon_cuts/csfpc.pdf)

## Problems

You can find my work on individual problems, like those from competitions or problem-of-the-week lists, in the [Problems](./problems/README.md) directory.

## Notes

Here are my notes on a few topics:

* [Linear Integer Programming (Notebook)](./notes/linear_integer_programming.ipynb)
* [Numeric Integrals in 3D (Notebook)](./notes/numeric_integrals_3d.ipynb)
* [SageMath Plot with Slider (SageMath Notebook)](./notes/sagemath_plot_with_slider.ipynb)
* [Standard Deviation (Notebook)](./notes/standard_deviation.ipynb)
* [Willans' Formula (Notebook)](./notes/willans_formula.ipynb)