A bicoloured stella octangula in the kaleidoscope of the tetrahedron
A bicoloured stella octangula in the kaleidoscope of the tetrahedron: the symmetry group of the stella octangula is the symmetry group of a cube, but the symmetry group of the stella octangula with this colouring is that of the tetrahedron.
You can see another photo of the same polyhedron; or a different polyhedron in the same kaleidoscope or another polyhedron in a different kaleidoscope; you can also compare this photo with a photo of the stella octangula reconstructed in the kaleidoscope of the cube.
Exhibit of Simmetria, giochi di specchi - Symmetry, playing with mirrors.
© matematita
The image belongs to the sections...:
Duality (3D geometry)
Two tetrahedra in a cube (3D geometry)
Groups and subgroups (Symmetry)
The symmetry group of the tetrahedron
(*332) (Symmetry)
In the yellow kaleidoscope (tetrahedron) (From the exhibitions of matematita)
Further information:
http://specchi.mat.unimi.it
