Magic Angle - Mathematical Definition

Mathematical Definition

The magic angle θm is

,

where arccos and arctan are the inverse cosine and tangent functions respectively.

θm is the angle between the space diagonal of a cube and any of its three connecting edges, see image.

Read more about this topic:  Magic Angle

Famous quotes containing the words mathematical and/or definition:

    The most distinct and beautiful statement of any truth must take at last the mathematical form.
    Henry David Thoreau (1817–1862)

    The man who knows governments most completely is he who troubles himself least about a definition which shall give their essence. Enjoying an intimate acquaintance with all their particularities in turn, he would naturally regard an abstract conception in which these were unified as a thing more misleading than enlightening.
    William James (1842–1910)