Martin Winter
MWinter@mathstodon.xyz
<p>Mathematician at the Max-Planck Institute for Mathematics in the Sciences (Leipzig, Germany).</p><p><a href="https://martinwintermath.github.io/" target="_blank" rel="nofollow noopener" translate="no"><span class="invisible">https://</span><span class="">martinwintermath.github.io/</span><span class="invisible"></span></a></p>
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The depicted polyhedra are rare specimen. First, they are inscribed, which means their vertices lie on a sphere. Second, they are zonotopes, which means their faces are centrally symmetric (they are symmetric under 180° rotation around their center). It turns out to be surprisingly hard to find such. Sure, there is the cube and other prisms. These are the boring ones. Maybe you also know the permutahedron and its siblings from other reflection groups. But there are at least a few more. Beside...