Polyhedron

The platonic solids, with all faces alike.

Polyhedron
Polyhedron

The Polyhedron generates the four platonic solids, in which every face is the same and every vertex sits at the same distance from the center. It is the most direct primitive for rocks, crystals and dice.

Properties

Geometry
Shape
Radius
1
  • Shape: Which solid to generate.
  • Radius: Distance from the center to each vertex, in meters. Since the measurement goes to the vertex, and not to the middle of the face, the solid looks smaller than a sphere of the same radius.

Shapes

  • Tetrahedron: Four triangular faces. It is the most angular of the four.
  • Octahedron: Eight triangular faces, like two pyramids glued base to base.
  • Dodecahedron: Twelve pentagonal faces. It is the one that comes closest to a ball.
  • Icosahedron: Twenty triangular faces. It is the best approximation of a sphere with few polygons and with the triangles evenly distributed.