The {\em 4DLO} and other tubing models of $S^3$ symmetry

TL;DR

The paper discusses the 4DLO sculpture at MoMath, illustrating 24-cell symmetries through interactive lighting, and explores its technical aspects and context within tubing models of $S^3$.

Contribution

It introduces the 4DLO sculpture as an interactive visualization of 24-cell symmetries and details its technical implementation and artistic context.

Findings

The sculpture effectively visualizes 24-cell symmetries.

Visitors could manipulate lighting through singing and noises.

The paper details the technical setup of the sculpture.

Abstract

The {\em Four-dimensional Light Orchestra} or {\em 4DLO} was an interactive sculpture at the National Museum of Mathematics (MoMath) from November 20, 2025 through January 2026, illustrating various sub-symmetries of the 24-cell with colored lights. This was part of a larger sequence of tubing sculptures aiming to bring to life a few lines of tables appearing in~\cite{conwayandsmith}, reprinted in~\cite{sot}, and further illuminated in~\cite{rastanawi}. Best of all museum patrons could manipulate {\em 4DLO}'s lighting by singing and making funny noises into a microphone, and they did so with gusto. Here we describe some of the technical aspects of this sculpture and its context.