This is a one-person game that visualizes Buchberger's algorithm to find the reduced Gröbner basis of a set of binomials over ℤ₂[𝑥,𝑦].
Haley Dozier and John Perry published a paper Androids Armed With Poisoned Chocolate Squares: Ideal Nim and Its Relatives in Mathematics Magazine in December of 2017. This project is a visualization of the idea of Gröbner Nim, in a one-person mode. That is, the player needs to reach the reduced Gröbner basis of the initially given set of segments.
The implementation is written in HTML/JavaScript and uses GeoGebra for rendering the graphical objects. An installed version can be tried out. A video describes how a typical game flow looks like.
This project is a work-in-progress. At the moment Google Chrome, Chromium, Firefox, Opera and Edge are the known supported browsers.
Currently only four game levels are included. The level can be selected by
appending ?level=0 or ?level=1, and so on, to the URL.
Three languages are supported in the gameplay: English, German and Hungarian. Language selection is possible by
appending e.g. &lang=German after the level selection. (See more on this at the description of
query string and
HTTP GET request.)
Author: Zoltán Kovács [email protected]
German translation: Benedek Kovács [email protected]
The author is grateful to Alexander Vujic for his help in bugfixing.