Talk:Reflection (geometry)

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Revision as of 07:34, 20 July 2009 by imported>Paul Wormer (→‎About the definition)
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 Definition:  In Euclidean geometry, a distance preserving transformation that reverses orientation [d] [e]
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About the definition

Do you really mean any involutive linear map? Should the map be also isometric? Is an identity map a reflection? Boris Tsirelson 17:29, 18 July 2009 (UTC)

Boris is right. There is also rotation about π. And it should not be restricted to linear spaces since it is a geometric term. I'll give it a try. Peter Schmitt 19:25, 18 July 2009 (UTC)
I hadn't finished yet (I know I should have used a sandbox, but until recently hardly anybody read my work). Now I have finished and I'm open to any criticism you gentlemen may have. Remember that as a mathematical amateur I'm using a nomenclature that comes mainly from physics sources. As far as I can see, mathematicians understand the physical language very well—although they often don't like it because they find it too verbose—but the converse is not true, many physicists and practically all chemists do not know advanced mathematical terminology.
Maybe you could also have a look at Affine space?
--Paul Wormer 13:34, 20 July 2009 (UTC)
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