The axis of symmetry of a two-dimensional figure is a line such that, if a perpendicular is constructed, any two points lying on the perpendicular at equal distances from the axis of symmetry are identical. Dimension (from Latin measured out) is, in essence, the number of degrees of freedom available for movement in a space. ... A perpendicular line. ...
Some other polyhedra with the same thirteen symmetry axes are the cuboctahedron (in which the 2-fold axes pass through the vertices) and the rhombicuboctahedron (in which each axis goes through the center of two of the 26 faces).Yet another is the snub cube.
The 2-fold axes of the cube are not axes of symmetry of the tetrahedron.
"Symmetry" is a recognition of the matching-ness of the parts of a shape.
For instance, the human body is said to have "bilateral" (two-sided) symmetry, because the left and right halves of the body mirror each other, as you can see in the image to the left.
But this symmetry applies only to the basic framing structure of our bodies; much of our insides, our organs, don't match, as you can see in the image to the right: watch the liver (brown) and the stomach (pink) change sides when the organs are flipped.:
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