╔═╗┬─┐┌─┐ ┬┌─┐┌─┐┌┬┐  ┌─┐┬ ┬╦  ╔═╗┬─┐  ┬┌┐┌  ╔╗ ┌─┐╔═╗┬ ┬
╠═╝├┬┘│ │ │├┤ │   │   ├┤ │ │║  ║╣ ├┬┘  ││││  ╠╩╗├─┤╚═╗├─┤
╩  ┴└─└─┘└┘└─┘└─┘ ┴   └─┘└─┘╩═╝╚═╝┴└─  ┴┘└┘  ╚═╝┴ ┴╚═╝┴ ┴

I wanted to learn more about bash and math, this was the result. Each script may be run from a shell as ./eulX. Please open an issue with any suggestions or questions.