Toolbox for particulate microstructure modelling
A high volume fraction sphere packing library
benchmark solutions for selected packing problems: circle, rectangle, cube, cuboid, polygon packings
Monte Carlo simulation of hard sphere packing using MATLAB
Fast Python, C++ & MATLAB code to generate random close packings (or jammed, overlapping or dense packing as well), such as dense 2d disk packings, dense 3d sphere packings with generalization to hypersphere N dimensional packings.
These scripts can be used to draw spheres and points on a sphere.
Finding the dense packing structure of hard spheres in cylindrical pores by sequential linear programming (SLP) mthod.
Collection of personal Unity projects
A new way to teach higher mathematics by classifying its paradoxes, not resolving them: the integers 0–9 as shapes (the base, from the book The Shape of Understanding), the towers of higher math they point up to, and the coin — two sides and an edge — on every floor. Machine-checked; an earlier AI-built table program is archived with its audit.
Hard drives make up a system of many particles, so we can approach the dynamics from a statistical point of view. The following model is based on the game of stones.
Byte-exact theorems on the Fermat quartic fourfold lattice — from a run at the unbeaten dimension-128 sphere-packing record. Keystone: the Bridge Theorem (Hodge norm = geometric intersection form).
GPU-accelerated sphere packing of watertight triangle meshes using CUDA
First independent byte-exact reproduction of the Zinoviev-Ericson (1999) K(13) = 1154 kissing configuration in R^13, with full optimization pipeline, 13 paper-grade structural findings on dim-13 saturation, rare-paths doctrine, and dual Constructor/Auditor methodology with both-hats discipline.
This repository contains the code to reproduce the results presented in the paper following paper: *N. Diaz, A. Alvarado, P. Meza, F. Guzman and E. Vera, "Multispectral Filter Array Design by Optimal Sphere Packing," in Transactions on Image Processing, 2023.
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