The stellated octahedron is the only stellation of the octahedron. It is also called the stella octangula (Latin for "eight-pointed star"), a name given to it by Johannes Kepler in 1609, though it was known to earlier geometers.
It is the simplest of five regular polyhedral compounds, and the only regular compound of two tetrahedra. It is also the least dense of the regular polyhedral compounds, having a density of 2.
It can be seen as a 3D extension of the hexagram: the hexagram is a two-dimensional shape formed from two overlapping equilateral triangles, centrally symmetric to each other, and in the same way the stellated octahedron can be formed from two centrally symmetric overlapping tetrahedra. This can be generalized to any desired amount of higher dimensions; the four-dimensional equivalent construction is the compound of two 5-cells. It can also be seen as one of the stages in the construction of a 3D Koch snowflake, a fractal shape formed by repeated attachment of smaller tetrahedra to each triangular face of a larger figure. The first stage of the construction of the Koch Snowflake is a single central tetrahedron, and the second stage, formed by adding four smaller tetrahedra to the faces of the central tetrahedron, is the stellated octahedron.
[Copied from Wikipedia:]
Rotation of the stellated octahedron - gif animation:
PRIYANKA CHOPRA at the premiere of “Citadel” on April 28th 2023 in Los Angeles wearing ROKSANDA
I love this look on Priyanka. She looked absolutely amazing in this dress. I loved the color and the material. The design of the dress was absolutely beautiful. It's one of my favorite looks on her, she's been looking amazing while promoting "Citadel".
10 NOVEMBER 2011 || The Duchess of Cambridge attended a reception in aid of the National Memorial Arboretum Appeal at St James's Palace along with Prince William.