Diffusion Structures for Architectural Stripe Pattern Generation

TL;DR

This paper introduces Diffusion Structures, a new method for generating resilient shell structures with stripe patterns using eigenfunctions of novel diffusion operators, enabling fast and real-time design navigation.

Contribution

It proposes a novel diffusion operator-based approach that avoids complex optimization, allowing quick and real-time generation of stripe pattern structures.

Findings

Fast structure generation using eigenfunctions

Real-time navigation with few parameters

Avoids expensive non-linear optimization

Abstract

We present Diffusion Structures, a family of resilient shell structures from the eigenfunctions of a pair of novel diffusion operators. This approach is based on Michell's theorem but avoids expensive non-linear optimization with computation that amounts to constructing and solving two generalized eigenvalue problems to generate two sets of stripe patterns. This structure family can be generated quickly, and navigated in real-time using a small number of tuneable parameters.