This painted and varnished paper object is the first in a series of models of convex polyhedra with regular faces constructed by Martin Berman. The faces are four regular triangles. In 1970 Berman ...

They have been especially interested in those in which the polygons are regular – the sides have the same length and the angles are equal. In 1970 Martin Berman (1938-1984), a physicist at the ...

If nothing else, Schein's work may prod mathematicians to find other interesting geometric shapes, now that equilateral convex polyhedra have a new family. PNAS, 2014. DOI: 10.1073/pnas.1310939111 ...

Fourth class of convex equilateral polyhedron with polyhedral symmetry related to fullerenes and viruses. Proceedings of the National Academy of Sciences . Published online February 10, 2014. doi ...

Scientists discover a new SHAPE for the first time in 400 years (but it just looks like a football) U.S. mathematicians believe they have identified a fourth class of ‘equilateral convex ...

For most people, the word “polyhedron” conjures up an image of a cube, a tetrahedron, or something similar—a solid figure with flat faces. If the polyhedron is regular, each face has the ...

Goldberg polyhedron. During this work, Schein came across the work of 20th century mathematician Michael Goldberg who described a set of new shapes, which have been named after him, as Goldberg ...

Since Plato’s work, two other classes of equilateral convex polyhedra, as the collective of these shapes are called, have been found: Archimedean solids (including truncated icosahedron) and ...