Natanael S. Alpay

Mathematics · Quantitative Research · Machine Learning

Mathematical Structures in 3D and Virtual Reality

Natanael Alpay and Peter Jipsen

Finite algebraic structures give rise to lattices and other partially ordered sets that can be difficult to understand from a two-dimensional drawing. This project uses interactive three-dimensional models to explore their organization.

We developed JavaScript visualizations using Babylon.js for exploration in a browser, with virtual-reality support in the original project. Examples include hypercubes and lattices of preorders.

Explore the Models

Models open in the original visualization project. Virtual-reality availability depends on the browser and device.