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notes

The project is an interactive, living book dedicated to reconstructing Archimedes’ Measurement of a Circle (Circuli Dimensio) using the original geometric proportions. By employing SageMath for symbolic validation, alongside Python, Julia and Perl for high-precision numerical calculations using libraries for decimal and arbitrary-precision arithmetic, the project bypasses modern algebraic transformations and demonstrates the accuracy of ancient geometric concepts.

Beyond Archimedes' original derivations, the project bridges the gap to modern approaches for calculating π. It demonstrates how Archimedes' four determination equations can be translated into modern notation like a super-radical, a product formula and a summation formula. To achieve this, the four equations were systematically reduced to a single unified equation. This step opens the door to further developments and serves as the link between geometry and algebra.

Using a specialized mathematical gain function, the system creates a dynamic bridge between ancient geometry and modern infinite series such as those of Ramanujan and Chudnovsky or the π formula of Saha and Sinha. Particular emphasis is placed on this new π formula, as it is more than it appears at first glance. By precisely handling the λ parameter the optimized approach achieves absolute numerical stability in getting hundreds or more of error-free decimal places. It is demonstrated, among other things, that the maximum gain in decimal places is achieved when the chosen value of λ equals the maximum number of iterations.

A key highlight is that the derived concept based on Archimedes allows the fundamental re-examination of every existing approach. E.g. the equations found on Wikipedia have been consolidated into a single equation as well as the BPS algorithm can also be reduced to a single equation. Furthermore, the work of Snellius and Dörrie can also be incorporated into the geometry of Archimedes.

And much more!

Encrypted TUI for Tor notes and links 🛡️

Neovim dotfiles optimized for zk-based note taking

Agenda and minutes from all meeting (official, weekly etc). Go to the Agenda Wiki page to see the agenda.

Enheduanna Note App

Mike's Work Labbook

This is for tracking general issues/todos/snippets/wiki whatever, that is not connected to a specific Project.

It's the gathering place for all my GitLab work things

OSCP field notebook: merged technique vault and numbered notes. MIT.

a home for life's knowledge

My notes about issues, solutions, learning and other things

Free and open source qualitative research tool

personal technical notes about fabien arcellier.

https://dnnsmnstrr.gitlab.io/zettelkasten

Cheatsheets for some courses at University of Ljubljana, Faculty of Mathematics And Physics, Physics Programme.

(Mostly) academic notes. https://inevitabby.gitlab.io/notes

A Cloudflare worker for storing secretive notes; deployed at https://vault.9th.fun.

Sticky notes + SyncThing = StyncyNotes

Android notes app that understands the linuxmint "Sticky" notes file format. Use together with Syncthing to read and update your Sticky notes on your phone.

Small go notes collection

Small python notes collection

Small javascript notes collection

Small bash notes collection