The regular convex polyhedra are the five Platonic solids, which have been known since classical Greece. The ancient Greek mathematician Euclid proved in his Elements of Geometry that there are only ...

Six triangles make a flat sheet that can't be folded into a corner. So only three Platonic solids can be made from triangles. Image caption, Three squares make the corner of a cube. However four ...

Hidden within one of sacred geometry's most mesmerizing patterns - Metatron's Cube - lies a key to understanding the very ...

A decade after the discovery of the “amplituhedron,” physicists have excavated more of the timeless geometry underlying the ...

THIS is an excellent work for all young students who wish to begin the study of geometry. In its order of treatment it completely ignores Euclid, and thus saves the young pupil from a long and ...

Topics may include: Euclidean geometry, hyperbolic and spherical geometry, platonic solids, tilings and wallpaper groups, graph theory, finite geometries, projective geometry, equidecomposition, the ...

Even with their orbits taking the "imperfect" shape of an ellipse, Kepler showed that a planet swept out an equal geometric area of its orbit ... Johannes Kepler's nesting Platonic solids, as depicted ...

Glass-like planes sweep across Daniel Mullen’s canvases, dancing across the color spectrum and rotating with mathematical ...

Portal Icosaherdons range from 34 to 100 in size. Anthony James's "Portal Icosahedrons" series is a captivating exploration of geometry, light, and dimensionality. With meticulous attention to detail, ...

Besides the regular and semiregular solids, there are just ninety-two other convex polyhedra with regular faces. In 1966, the American mathematician Norman W. Johnson, a student of H.S.M. Coxeter at ...