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pi

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!

https://nestorpi.talbart.fr Generic framework used to control robots, or various other applications, on the Raspberry Pi.

Stablecoin-Only Pi Ecosystem super app,

DexDash, a Dexcom CGM readout script to display values on Waveshare 7.5 eInk display. Includes a large value display and historical graph script.

Framework for making pi images, using packer and ansible

Linux scripts to manage a Minecraft server

A Raspberry Pi based project providing a simple Blood Glucose result dashboard, including graphs and data listing. Project relies on a Contour Next Link 2.4 Blood Glucose meter and a Minimed pump (tested with 640g).

QBO robot system in Raspberry Pi devices.

Simple set of scripts to blink an LED to indicate the status of a Pi, such as a headless utility pi. Also includes optional operation of a fan relay to turn the fan on/off as needed.

Eine CO2-Ampel für den Raspberry Pi.

Aircraft propeller engine test bench, based on Raspberry PI. Featuring engine RPM detection and strain gauges for measuring applied forces and engine power calculation. 2004 LCD Display with I2C backpack later used for realtime data visualisation.

Qt program to run on Raspberry Pi with telemetry system.

Pie time is a tool that finds an input within Pi π.

Create a video surveillance system network with your Raspberry Pis, with difference calculation and delta encoding

This is a universal remote webinterface. or in other word; a nice frontend for lirc

An autonomous mobile robot. The project enables our platform to perform SLAM (using Monte Carlo filter and AMCL) and trajectory rollout, costmaps were used with inflated. Arduino software enables drivers, odometry, kinematics and wheel control.

Projekt do włączania oświetlenia kiedy w pomieszczeniu zostanie włączone. Do współpracy z czujnikiem BH1750 i adapterem. Obsługuje również 2 diody sygnalizacyjne.

RaspberryPi 433Mhz remote control + alarm clock