Regular Polytopes in Nature
For examples of polygons in nature, see:
Each of the Platonic solids occurs naturally in one form or another:
Higher polytopes can obviously not exist in a three-dimensional world. However this might not rule them out altogether. In cosmology and in string theory, physicists commonly model the Universe as having many more dimensions. It is possible that the Universe itself has the form of some higher polytope, regular or otherwise. Astronomers have even searched the sky in the last few years, for tell-tale signs of a few regular candidates, so far without definite results.
Read more about this topic: Regular Polytope
Famous quotes containing the words regular and/or nature:
“A regular council was held with the Indians, who had come in on their ponies, and speeches were made on both sides through an interpreter, quite in the described mode,—the Indians, as usual, having the advantage in point of truth and earnestness, and therefore of eloquence. The most prominent chief was named Little Crow. They were quite dissatisfied with the white man’s treatment of them, and probably have reason to be so.”
—Henry David Thoreau (1817–1862)
“Our passional nature not only lawfully may, but must, decide an option between propositions, whenever it is a genuine option that cannot by its nature be decided on intellectual grounds; for to say, under such circumstances, “Do not decide, but leave the question open,” is itself a passional decision—just like deciding yes or no—and is attended with the same risk of losing the truth.”
—William James (1842–1910)