Regular Octahedron (AR Modeling Challenge)
The goal of this GeoGebra Augmented Reality modeling challenge is to author 2 surface equations (with domain restrictions) to construct a REGULAR OCTAHEDRON !!!
A regular octahedron is one of the 5 main platonic solids.
A regular octahedron is made up of 8 faces.
Each face is an equilateral triangle.
Modeling Clues:
Even though there are infinitely many ways to position & size this regular octahedron, for the one in this screencast (below):
1) (0,0,0) serves as its center.
2) Each edge (side of any equilateral triangle) is 6 units long.