The table of the fractions of cube
The table of the fractions of cube shows how to create the construction that reproduces the cube in the corresponding kaleidoscope; so, it illustrates the symmetry of the cube. Two mirrors at 60° put in evidence the rotation axes of order 3 that go through opposite vertices, two mirrors at 90° put in evidence the rotation axes of order 2 that go through the midpoints of opposite edges, two mirrors at 45° put in evidence the rotation axes of order 4 that go through the centres of opposite faces.
© matematita
The image belongs to the sections...:
The fractions of the cube (From the exhibitions of matematita)
Symmetry of the cube (3D geometry)