The rotations of the cube
The green straw, laid between the two mirrors that form an angle of 90°, shows the 6 rotation axes of order 2 in the cube (the lines which go through the midpoints of two opposite edges); the red straw, laid between the two mirrors that form an angle of 45°, shows the 3 rotation axes of order 4 in the cube (the lines which go through the centres of two opposite faces). Then, the yellow straw, laid between the two mirrors that form an angle of 60°, shows the 4 rotation axes of order 3 in the cube (the lines which go through two opposite vertices).
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The image belongs to the sections...:
Cube (3D geometry)
The symmetry group of the cube (*432) (Symmetry)
In the blue kaleidoscope (cube) (From the exhibitions of matematita)
Further information:
http://specchi.mat.unimi.it