The Greeks knew the simplest of them. Since then the range of figures has grown; 75 are known today and are called, more generally, 'uniform' polyhedra. The author describes simply and carefully how ...

As smart as we as a species are, Mother Nature almost always seems to have us beat. It’s true for things like brain surgery ...

Soft cells’ — shapes with rounded corners and pointed tips that fit together on a plane — feature in onions, molluscs and ...

The Mathematics of Shock Reflection-Diffraction and von ... Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra Isroil A. Ikromov and Detlef Müller This is the first book to ...

If you slice through the polyhedra you see a two-dimensional pattern of polygons, and it was this that was used to create the screen. Voronoi diagrams have numerous applications across mathematics, as ...

He studies convex and discrete geometry, with a focus on the theory of lattice-point enumeration in polyhedra and its applications to ... Gordan coefficients and the dilation effect Experiment, Math.

Each of the following n lines of the input contains a string si — the name of the i-th polyhedron in Anton's collection. The string can look like this: "Tetrahedron" (without quotes), if the i-th ...

Tiles that fill two- and three-dimensional spaces with no gaps—including triangles, squares, hexagons, cubes, and other ...

There he wrote an encyclopedic textbook series, “Éléments de mathématique,” that sought to revise the foundations of mathematics ... the hunt for the largest polyhedra.

Prior to joining Smith in 1988 to found and chair the computer science department, Joseph O’Rourke was an assistant and then associate professor at Johns Hopkins University. His research is in the ...