This 48-page full-color book introduces more precisely the mathematical ideas behind Outside In and develops them further. It requires very little mathematical background.
This richly illustrated book is a guide to ``descriptive topology''. Chapter 6 is entirely devoted to sphere eversions. Following the text requires a certain familiarity with topology, but even mathematically naïve readers will find the book worth looking at just for the figures.
This early triumph of computer animation explains Morin's eversion, illustrating it with real-life models (made by Charles Pugh) as well as computer-animated sequences rendered by Jim Blinn, based on a digitization of Pugh's models. A frame from the video is included here.
Although Shapiro was probably the first person who had a detailed idea of how an explicit eversion might be realized, his method only became well-known many years after his death, largely thanks to this article. The level of the article is intermediate: it requires some topology and a good spatial imagination, but is not very technical.
In this clear and accessible article, a visual ``recipe'' for turning the sphere inside out was published for the time. One of the original drawings by Phillips appears here.
This paper started the whole subject of sphere eversions, because it contains a general theorem (which unfortunately requires very technical language to state), one of the consequences of which is that the sphere can be turned inside out by means of smooth motions and self-intersections. The paper is accessible only to mathematicians.
Created: May 8, 1995 --- Last modified: Oct 30 1997
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