https://doi.org/10.4169/amer.math.monthly.124.3.265 https://www.jstor.org/stable/10.4169/amer.math.monthly.124.3.265 The five Platonic polyhedra combine identical ...

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This media is in the public domain (free of copyright restrictions). You can copy, modify, and distribute this work without contacting the Smithsonian. For more information, visit the Smithsonian's ...

Finding the most efficient way to pack simple objects such as spheres has entertained and infuriated mathematicians from Aristotle to the present. Now, a team of physicists and mathematicians in the ...

Adjacency properties of extreme points of a convex polyhedron are discussed. In mathematical programming we are quite often faced with problems of characterizing the ...

The problem of the relationship between the structure of materials and their physical properties is one of the global problems of the present day. For many years, researchers of the Lobachevsky ...