Mathematics is not a careful march down a well-cleared highway, but a journey into a strange wilderness, where the explorers often get lost.
– W.S. Anglin
I hate posting up youtube clips without comment, but, this video, a visualization of a Mandelbox which I found via Coilhouse, is beautiful, and requires very little chattery on my part.
To most outsiders, modern mathematics is unknown territory. Its borders are protected by dense thickets of technical terms; its landscapes are a mass of indecipherable equations and incomprehensible concepts. Few realize that the world of modern mathematics is rich with vivid images and provocative ideas.
– Ivars Peterson