Tetrahedron Solutions Finally Proved Decades After Computer Search

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From Quanta [ https://www.quantamagazine.org/mathematicians-finally-prove-rational-tetrahedron-solutions-20210202/ ]

"The tetrahedron is the simplest three-dimensional shape with flat sides. Its basic properties have beguiled curious minds as far back as Plato and Aristotle. Now, a conclusive proof posted in November has certifiably identified all the special tetrahedra there are to find. The work answers a question about an ancient shape thanks to a cutting-edge innovation that provides mathematicians with a new technique for finding solutions to certain equations....."
 
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