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 ...

As the team explains, "the print path orientation is controlled through a vector-field optimization method that has been fine-tuned for the specific needs and constraints of non-planar 3D printing ...

Platonic solids, the first class of such shapes, are well known. They consist of five different shapes: tetrahedron, cube, octahedron, dodecahedron and icosahedron.

The prototype generation has been widely used in industrial design, medical imaging, computer animation, pattern recognition, and computer vision. We propose a new hierarchical tree based algorithm ...

ABHISHEK BHATTACHARYA, DAVID B. DUNSON, Nonparametric Bayesian density estimation on manifolds with applications to planar shapes, Biometrika, Vol. 97, No. 4 (DECEMBER 2010), pp. 851-865 ...

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 ...