Higher Dimensions
The analogue of Barbier's theorem for surfaces of constant width is false.
Read more about this topic: Barbier's Theorem
Famous quotes containing the words higher and/or dimensions:
“For human nature, being more highly pitched, selved, and distinctive than anything in the world, can have been developed, evolved, condensed, from the vastness of the world not anyhow or by the working of common powers but only by one of finer or higher pitch and determination than itself.”
—Gerard Manley Hopkins (1844–1889)
“It seems to me that we do not know nearly enough about ourselves; that we do not often enough wonder if our lives, or some events and times in our lives, may not be analogues or metaphors or echoes of evolvements and happenings going on in other people?—or animals?—even forests or oceans or rocks?—in this world of ours or, even, in worlds or dimensions elsewhere.”
—Doris Lessing (b. 1919)