synergetics

Tetrahedral voxel game engine in C++/OpenGL that replaces cubic blocks with quadray coordinates — fractal terrain generation, modified marching tetrahedrons meshing, wireframe and quadray debug views, plus 30 standalone 4D browser games built on the same Fuller/Urner coordinate system.

Nonlinear Mathematics Example

Quadray coordinate and 4D tetrahedral lattice mathematics in Python: integer volume quantization, lattice optimization, pytest at 100% coverage with no mocks, and a render_pdf.sh pipeline regenerating figures, data and an 8-chapter Markdown-to-LaTeX manuscript. Zenodo DOI 10.5281/zenodo.16887791.

This is a modern software version of experimental Synergetics.

A zero-install, browser-native teaching instrument for live Synergetics demonstrations and asynchronous linked learning.

Synergetics Sonification Lab

Python 3.10+ computational geometry package for converting between XYZ Cartesian and IVM quadray (Isotropic Vector Matrix) coordinates — exact volume and area calculations, Buckminster Fuller's Synergetics concentric hierarchy of polyhedra, and matplotlib 3D visualization, at ~99% test coverage.

Framework de física computacional para análisis estructural biológico. Sustituye modelos 'caja negra' con leyes de torsión fractal (Ley de Torsión Bimodal) y aritmética sexagesimal (Base-60). Diseñado para auditoría, precisión física y ejecución local

Python library for exact all-integer symbolic computation in Buckminster Fuller's Synergetics — rational SymergeticsNumber arithmetic with no floating-point error, Quadray 4D tetrahedral coordinates, polyhedral volume ratios, Scheherazade numbers and primorials, and matplotlib/plotly/ASCII output. 977 tests.

Python visualization engine for Buckminster Fuller's Synergetics geometry in the Isotropic Vector Matrix (IVM) coordinate system — renders sphere-to-vector and frequency-based polyhedron transformations as 40 PNG plots, 8 GIF animations, and HTML explorers via NumPy and Matplotlib, with 48 tests.