Did you know that the Platonic Solids were named after the Greek philosopher Plato? He believed that these were the fundamental components of nature and associated fire to the tetrahedron, earth to the cube, air to the octahedron, water to the icosahedron and the element cosmos to the dodecahedron.
As the name suggests, the Octahedron has got 8 sides, each of them equilateral triangles. I had thought that folding it would be more difficult than the Cube, but surprisingly, I found it easier to fold this! It is completely folded as a 2-dimensional model, till the last step where it is inflated to form the 3-dimensional Octahedron. The dual of the Octahedron is the Cube.
Model Details:
Model: Octahedron
Creator: John Montroll
Book: A Plethora of Polyhedra in Origami
Author: John Montroll
Difficulty Level: Low Intermediate
Paper Ratio: Square
Paper Size: 5 inch squares