A Mathematician Solutions a 150-Yr-Previous Chess Drawback

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Illustration: Samuel Velasco/Quanta JournalThe n -queens drawback is about discovering what number of other ways queens may be positioned on a chessboard in order that none assault one another.  In case you have a couple of chess units at dwelling, strive the next train: Organize eight queens on a board in order that none of …
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Mathematicians Settle the Erdős Coloring Conjecture

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Mathematicians have now confirmed that to paint the sides of a linear hypergraph, you by no means want extra colours than the variety of vertices within the graph.Illustration: Kelsey Houston-EdwardsFifty years in the past, three mathematicians got here up with a graph idea downside that they thought they may clear up on the spot. A …
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Geometry Reveals How the World Is Fabricated from Cubes

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An train in pure arithmetic has led to a wide-ranging principle that unites Plato with geophysics. Plato was proper: On common, the world is made out of cubes. [Click and drag the image to rotate; scroll to zoom in and out.] On a gentle autumn day in 2016, the Hungarian mathematician Gábor Domokos arrived on …
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Mathematicians Report New Discovery In regards to the Dodecahedron

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Starting at a corner, could you walk around the surface of this Platonic solid without crossing other corners? To get the answer, you need an 81-holed doughnut. Mathematicians have spent more than 2,000 years dissecting the structure of the five Platonic solids—the tetrahedron, cube, octahedron, icosahedron, and dodecahedron—but there’s still a lot we don’t know …

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