torus

Python implementation of the paper "Discrete Differential-Geometry Operators for Triangulated 2-Manifolds" by Meyer et. al. VisMath 2002

de Bruijn torus generator

Building geometric objects using blending techniques and global deformations

This board is the open lab notebook for anyone exploring TORUS-Theory’s 14-D χ-β lattice, closure matrix, and observer-state recursion.

First swarm formed through Torus abstractions, over the problem space of finding the internet's prophets.

Torus-Oriented Runtime Compiler: tile-aware compilation for TPU torus topologies. A TPU-native DSL that turns declarative sharding annotations into hardware-aware execution, emitting StableHLO for XLA/GSPMD.

3 methods to solve equations: (1) bisection, (2) newton's, (3) secant.

AllReduce/AllGather scaling in ASTRA-sim across torus vs switch topologies on the analytical + ns-3 backends — latency-bound vs bandwidth-bound over message size and node count. Reproducible Docker/Chakra harness + write-up.

Controlled same-surface reparameterization experiments on a torus testing whether chart distortion predicts discrete mean-curvature error. Includes a white-paper script, falsification suite, plots, and diagnostics based on area density and metric conditioning under fixed periodic finite-difference stencils.

A program to procedurally generate 3-dimensional worlds made of cubes and view the evolution of the landscape over time.

Torus Attention Mechanism in Rust - 8-stream bidirectional parallel processing with learnable EMA compounding