Resources on the topic of digital morphogenesis (creating form with code). Includes links to major articles, code repos, creative projects, books, software, and more.

• UpdatedFeb 12, 2025

Simulate swarms of mobile agents in 2D and 3D.

• UpdatedFeb 18, 2026
• MATLAB

A ros package that takes a pattern image as input and generate coordinate data of points that will be traced by drones to form that pattern in air

• UpdatedJan 9, 2025
• Python

Swarm Formation from Hand-Drawn Patterns using Signed Distance Fields

• UpdatedJan 9, 2024
• Python

Pattern Formation in Fractional PDEs

• UpdatedOct 11, 2024
• MATLAB

models of 2D reaction-diffusion systems

• UpdatedMay 5, 2021
• Jupyter Notebook

Assorted Matlab codes for the paper 'Dihedral rings of patterns emerging from a Turing bifurcation' by D.J. Hill, J.J. Bramburger and D.J.B. Lloyd (2022).

• UpdatedMar 21, 2024
• MATLAB

Classification of pattern images based on Lengyel-Epstein model

• UpdatedJan 16, 2025
• Jupyter Notebook

ABM of Physarum tranport networks

• UpdatedMar 31, 2021
• Python

Multi-Architecture Coupled Ensemble Physics-Informed Neural Networks (MACE-PINN) for solving coupled partial differential equations. Implements parallel subnetworks with Fourier embeddings and adaptive loss weighting for Gray-Scott and Ginzburg-Landau reaction-diffusion systems.

• UpdatedOct 27, 2025
• Python

Associated Matlab codes for the paper `Approximate Localised Dihedral Patterns Near a Turing Instability', by D.J. Hill, J.J. Bramburger & D.J.B. Lloyd, 2022.

• UpdatedMar 18, 2022
• MATLAB

Mathematical Model For Self-Organization of Human Embryonic Stem Cells

• UpdatedNov 5, 2022
• Jupyter Notebook

Math REU Summer 2025

• UpdatedJun 17, 2025
• Jupyter Notebook

Pattern formation process with Gray-Scott reaction diffusion model in 2 spatial dimension

• UpdatedNov 2, 2024

Codes used in the company's studies on disorder and self-organisation.

• UpdatedApr 4, 2022
• Fortran

Symswarm is a symmetrical modular pattern formation algorithm which is for used to construct a symmetrical pattern among multiple mobile robots. The modular algorithm is divided into two phases where first phase is self guided independent phase and second phase is the swarm coordination phase between robots.

• UpdatedAug 22, 2023
• MATLAB

A repository for the final project in MathBio class, exploring the dynamics of natural pattern adaptation through the lens of a cellular automata model. Contains code, documentation, and resources related to the project.

• UpdatedMay 29, 2025
• Python

• UpdatedApr 21, 2019
• MATLAB

🌟 Explore the mesmerizing world of cellular automata with AutomataCraft! Watch intricate patterns evolve, customize simulations, and delve into endless possibilities. Experience the art of automation in this captivating MIPS assembly renderer. 🚀

• UpdatedSep 1, 2023

Associated Matlab codes for the paper `Predicting the emergence of localised dihedral patterns in models for dryland vegetation', by D. J. Hill, 2023

• UpdatedApr 8, 2024
• MATLAB