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:
“The foot of the heavenly ladder, which we have got to mount in order to reach the higher regions, has to be fixed firmly in every-day life, so that everybody may be able to climb up it along with us. When people then find that they have got climbed up higher and higher into a marvelous, magical world, they will feel that that realm, too, belongs to their ordinary, every-day life, and is, merely, the wonderful and most glorious part thereof.”
—E.T.A.W. (Ernst Theodor Amadeus Wilhelm)
“Words are finite organs of the infinite mind. They cannot cover the dimensions of what is in truth. They break, chop, and impoverish it.”
—Ralph Waldo Emerson (1803–1882)