the.com/polyhedron
a shape so committed to flat faces it refuses to round a single corner
means A solid three-dimensional figure bounded entirely by flat polygonal faces meeting at straight edges and sharp corners, like a cube or pyramid.
from Straight from Greek: poly- ('many') joined to hedra ('seat' or 'base'). So a polyhedron is literally a 'many-seated' thing — each flat face a seat for the shape to rest on. That same hedra sits quietly inside cathedra (a bishop's chair, ancestor of 'cathedral') and chair-words across the family.
- only five perfect
- just five Platonic solids exist, math allows no sixth
- euler's law
- faces minus edges plus vertices always equals two
- dice ancestry
- every fair die is a symmetric polyhedron
- soccer ball
- a truncated icosahedron with 32 faces
- kepler obsessed
- he modeled planets inside nested Platonic solids
platonic solids — 5 geometric forms known since ancient greece: tetrahedron, cube, octahedron, dodecahedron, icosahedron
buckminsterfullerene — 60-carbon molecule shaped like a truncated icosahedron, discovered 1985
rhombic dodecahedron — 12-faced crystal form found in garnet and fluorite minerals