Elliptic Quotes

Man's role is uncertain, undefined, and perhaps unnecessary. By a great effort man has hit upon a method of compensating himself for his basic inferiority. Equipped with various mysterious noise-making instruments, whose potency rests upon their actual form's being unknown to those who hear the sounds - that is, the women and children must never know that they are really bamboo flutes, or hollow logs, or bits of elliptic wood whirled on strings - they can get the male children away from the women, brand them as incomplete, and themselves turn boys into men. Women, it is true, make human beings, but only men can make men. (Margaret Mead)
It is well known that in three-dimensional elliptic or spherical geometry the so-called Clifford's parallelism or parataxy has many interesting properties. A group-theoretical reason for the most important of these properties is the fact that the universal covering group of the proper orthogonal group in four variables is the direct product of the universal covering groups of two proper orthogonal groups in three variables. This last-mentioned property has no analogue for orthogonal groups in n (>4) variables. On the other hand, a knowledge of three-dimensional elliptic or spherical geometry is useful for the study of orientable Riemannian manifols of four dimensions, because their tangent spaces possess a geometry of this kind. View quote
Shiing-Shen Chern