The teams research iscurrently hostedon the preprint server arXiv.
In two dimensions, the shape is a Reuleaux triangle.
Seen in three-dimensional space, the shape is oblong, but something our brains can visualize.
A model of the shape in three dimensional space.Gif:A. Arman et al. / SageMath / D. Radchenko
Beyond the third dimension, the team can mathematically project the the shapes constant width even in increasing dimensions.
The new shape has a constant width always smaller than the sphere of its dimensionperhaps the Svelte?
News from the future, delivered to your present.
The Releaux triangle, the shape with the smallest area with a curve of constant width.Illustration:David Eppstein
We’re sick of people not knowing the difference.
The shape in two dimensions.Illustration: A. Arman et al. / SageMath / D. Radchenko
