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points in the exposition. It may be that the article is stand-alone at some level of presentation, but it cannot provide detail on every area of interest, and one of its purposes is guidance to topics that might prove fruitful. The reader must be able to identify for themselves what they think is fruitful. The Google Book link is very helpful in this way, helping the reader determine whether a source is pertinent and at the right level of sophistication for them.
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I see your point about the first paragraph and article title. This started off as an article on "The sixth dimension", in the mystical sense, it's now about six dimensional spaces. So a move would make sense, though with redirect, for people used to looking here and to discourage people from starting
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JohnBlackburne: I went to some trouble to provide the url's that take the reader to precisely the page where the relevant material in the source can be found. You have deleted these urls and the appropriate section headings. That is not a service to the reader. Google books is used all throughout WP
1322:
We list both the 5-sphere and 6-sphere formulae. The 5-sphere is a 5D surface, but exists in 6D Euclidean space. Similarly the 6-sphere is a 6D surface, but exists in 7D Euclidean space. So in some sense both are six-dimensional, but you have to interpret "six-dimensional" differently for each. The
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There aren't even 6 degrees of freedom for the space of all tetrahedra. Consider: you have 4×3=12 angles on the surface of a tetrahedron (not the dihedral angles). Since every face must have angle sum 180°, the 12 degrees of freedom get chopped down to 8. Then because of the law of sines, you have
959:
John: OK, utility is not on your short list. I'd say that references are not just for verifiability, as the article is necessarily short. A major purpose of the article is to provided a toe-hold for those interested in the topic, and that includes guidance to books on the subject and on particular
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it's not among the recommended styles for citations. Possibly as it's little used outside academia, and we want this article to be as widely accessible as possible. The Google books point I've already covered. And it doesn't matter how much work went into it — a lot more went into the article that
433:
I'm not sure about you're other suggestion - what exactly would you trim? The only really general bits are the introductory paragraphs, which will need re-writing if the first is removed but will cover much of the same ground, and the vector algebra examples which are just that, examples of how it
979:, with a big long list of notes and references done the way you think is wrong. That article is far more important than this one so your time would be better spent sorting out the references there than here. If you are right then all featured articles could be done that way in the future. --
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and the editors who approve featured articles do not agree. See again the quote I gave. Putting it another way, if it is so much more helpful why is it not required or even used in the best articles here? But that was only one of my objections to the changes, see my comments above for
944:. Someone can use them to check the facts in the article. But the article should stand alone as a topic worth writing about. Readers should not need to read references to understand what the article is about. For further reading in more depth on any area they can follow wikilinks.--
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JohnBlackburne: The url link is not at the expense of the isbn link, which also is present. Thus the Google book link is simply an additional, and much more helpful link in many cases as the reader can actually read the text in many cases, including the cases you deleted here.
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is a much better alternative which allows readers access to the books in their own countries or through their own choice of source, including Amazon, Google Books, thousands of libraries, and more.". As there's an ISBN there's no need for Google books
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which I think is meant to be the source. I can only view the first page but it seems to say nothing about 6 dimensional space: rather it is describing a coordinate system on hexagonal layers. So rather than six-dimensional it is very much three
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particularly as most readers will not have this book on their shelf. The Google Books url's pull up the exact page where the cited material appears. The isbn url also is offered for those that want to pursue other modes of access.
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familiar sphere is a 2-sphere; if you add its interior as well, you have a 3-ball. A 5-sphere with the interior is a 6-ball; a 6-sphere with the interior is a 7-ball. (Yes, the dimension can be a little confusing at first.)
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Plücker
Coordinates can be written as a 6-Vector. But they are not only up to scale but also Grassmann-Plücker Relation. They have only four degrees of freedom. Why would this matter to anybody interested in six-space?
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As it stands the article is pretty nonsensical but I think there's more than enough good mathematics and science out there to make this a worthwhile article. I've made a start on the intro, and will add some more later.
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JohnBlackburne, I cannot see how you can avoid observing that the more complete source format has added utility for the reader. It is more trouble to provide, but why on earth delete it once the work is done?
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You can take any vertex as O, but that's only 3 constraints, because the 4th one isn't independent of the first three; so that's 5 degrees of freedom, not six.
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may not have the most subtle turn of page but his point on the purpose of this article was well made and the offending paragraph has since been re-written.--
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needs a lot of work, as it has nothing outside the first section on the general case; what's there is could do with a re-write and merging with e.g.
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I don't have anything else to say on the subject. But if you feel so strongly that your way of doing it is better they've put up a new daily FA,
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it's not a good general reference (as it covers a lot more than this article - it's just used for a couple of points, pulled deep from the text).
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links to Google books are not needed or recommended - better to supply the ISBN and let the user choose via Book
Sources which source to use.
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perhaps could be considering 6-degrees of freedom, but regardless, nothing to do with 6-dimensional space. 23:08, 1 November 2011 (UTC)
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Hi John: Well, you're adamant about refusing to consider or discuss the merits. So be it. I would point out however, that an FA doesn't
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the way it was is a good way to do it for articles with multiple citations from a single source. See e.g. today's featured article.
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General reference: No problem: if it's not a good general reference, the book can be removed from the section: General
References.
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works in 6 dimensions so there's at least some basic math in there. Looking at it for the first time
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It's not my personal opinion, it's how it's done all over WP, in numerous FAs including
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which seems like complete nonsense: I can still make no sense of it, and it seems I am
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Suggest a move of all except the first idiotic paragraph to
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It is a formula for a hypersphere in 7-dimensional space.
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This article was accepted on 11 October 2009 by reviewer
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50:New to Knowledge? Welcome!
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225:TimothyRias
148:free images
31:not a forum
1342:Categories
738:. p. 110.
1288:Fixed it
633:others.--
593:ISBN link
527:Footnotes
88:if needed
71:Be polite
21:talk page
1290:Aaichert
1278:contribs
1270:Aaichert
1266:unsigned
928:op. cit.
900:op. cit.
887:op. cit.
596:links.--
362:contribs
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56:get help
29:This is
27:article.
821:op. cit
581:today's
379:Rewrite
257:C-class
219:It was
154:WP refs
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