Definition:Regular Octahedron/Historical Note

From ProofWiki
Jump to navigation Jump to search

Historical Note on the Regular Octahedron

Euclid in The Elements refers to this object just as an octahedron.

In the words of Euclid:

An octahedron is a solid figure contained by eight equal and equilateral triangles.

(The Elements: Book $\text{XI}$: Definition $26$)


According to the Pythagorean tradition, the regular octahedron was the symbol for the element air.


Sources