A polygon is regular if it is uniform and its faces are all alike. The regular convex polyhedra are the five Platonic solids, which have been known since classical Greece. The ancient Greek ...

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 ...

Next, to featurize a 3D Gaussian, we project it onto the unparalleled faces of the Platonic solid to form a 2D Gaussian (𝝁 proj, 𝚺 proj), while the Platonic solid's faces are represented by the ...

In organic chemistry, a Platonic hydrocarbon is a hydrocarbon whose structure matches one of the five Platonic solids, with carbon atoms replacing its vertices, carbon–carbon bonds replacing its edges ...