222:. By the end of the tour the board is getting rather crowded. It would be nice if there were some way to more easily determine which steps were new. Here's an idea: Give the path a border. Newer parts of the path should draw over older parts. Then it will be clearer what happened when. (I would also like to echo others' comments on coloration. It would be nice if the chessboard squares traditionally colored white and the chessboard squares traditionally colored black were differentiated, and it would be nice if the squares that have already been visited were colored. And it should be faster.).
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squares, it was invisible. When I looked at this picture on a full-sized monitor, I was able to see that the dark squares are actually a deep brown, but they are still very dark. Because the color of the dark squares is so dark and the color of the light squares is so light, there is a tremendous amount of contrast in the picture.
239:: The speed and the coloring are issues but even if they were fixed this image wouldn't say FP to me. It illustrates the concept but it's not particularly eye-catching or artistic. Mathematics is often not a very visual subject. When it is you can get stunning images but this doesn't seem to be one of those cases.--
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to actual chessboards, but it will help them to see that the knight must switch from a dark square to a light one or vice versa at every step (which is an important fact for the mathematical study of knight's tours). I think that this picture has got a lot of potential, and I hope to see a revised version soon.
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As before, I still do not like an unadorned black path, and I would still like it to have a border. With a slight border it would be easier to see it against the squares of the chessboard (no matter what color they are), and it would be possible to tell which moves came first and which last. I also
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None of the additional decoration is necessary; not even shading the visited squares is necessary. The question is, how can the information be presented in the most useful and beautiful way possible? For that I think the square color is significant: Not only does it help observers relate the diagram
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Agreed that this has great potential, but I agree that we need some sort of colouration. For a start, it would be good if there was a white/black divide, and, secondly, it would be nice if there was some way of differentiating between visited squares and squares at which the knight is yet to arrive.
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Per
Spikebrennan's request on my talk page and the comments above, I've prepared an alternative version with shading of visited squares and with twice the speed of the original. Also, now that GIF scaling works again, I've rendered the new version twice as large as the original (which still leaves
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If you do a Google image search for "chessboard", you turn up three different kinds. (1) Computer generated. These are usually pure black on pure white; sometimes they are gray on white or dark gray on light gray. (2) Photos of real chessboards. These are usually dark and light wood. (3) Exotic
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Several other editors have commented that the picture looks "too busy" or "too confusing". I think I have an exegesis of that idea: When I looked at this picture on my iPhone, I thought that the light squares were pure white and the dark squares were pure black. Where the path crossed the dark
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Having not read any of the above discussion, my initial reaction is that the colors of the squares should be checkered, black and white. After that, I can see the interesting nature of this concept and can support it, but only if it actually looks like a chess board to the mass public.
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Frankly I don't think you're giving the 'mass public' enough credit. The article in question is about a relatively advanced mathematical problem, after all, so I think it's overwhelmingly likely the reader will recognize the grid as a chessboard.
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Very interesting. High encyclopedic value to be sure. I could support if the color of the squares changed when the knight has reached them. As it is, it's not immediately clear when the tour has been completed.
541:. Excellent animation of the concept. For the purpose of this illustration, actual square color isn't really significant. It's worthwhile to use white and gray to designate which squares have been visited.
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The board still gets crowded by the end. As I said above, I think the solution to this is to put a border around the path so that the order in which the squares were visited is a bit more clear.
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collectors' sets. Of these, I think the most visually pleasing (for our purposes) would be (2). Alt 2 is a variant of (1), whose colors I think are too visually chaotic to be comfortable with.
605:. Alternative 2 shows light/dark squares with a red tint for visited tiles. Personally I find it version too confusing to support - there's just too much information to take in at once.
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I knew that adding color would make the animation clearer, but wow, it is extremely revealing of the pattern. Most interesting is the formation achieved precisely halfway through the tour.
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384:. When a square has been visited, shade it, but preserve the underlying coloring. I think it would look good if you tinted visited squares blue.
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Every possible move a knight can make will switch from dark to light or vice versa, that's not a specific aspect of the knight's tour.
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does not display the path that the knight took, and I'd rather that the visited squares were tinted instead of having a ×.
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I was thinking the same while watching it before i read the comments. Also i'd prefer it to go a bit faster.
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An extremely simple (23kb) animation that nevertheless illustrates the chess and mathematics concept of a
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643:- the colour of the squares is unnecessary information, and makes it harder to see what's going on.
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Yes, but this fact is particularly important for the existence of a knight's tour; see the article.
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I think a closed tour (i.e. knight returns to starting square) would be more interesting --
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I'm even more pleased with Alt 2, now that it's up. I have some further comments, though:
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190:- squares should be color-coded for status and the animation needs to be faster.
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377:. This is better than the original, but I think it can be made better still.
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133:(because the checkerboard pattern in alt 2 is more confusing than helpful)
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still think it would be good to replace the arrowhead by a knight figure.
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Knowledge:Featured pictures/Diagrams, drawings, and maps/Diagrams
410:, only with a larger board? That would not be hard to do. —
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to match the version used to generate this new version. —
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Voting period is over. Please don't add any new votes.
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it under the 12.5Mpx limit). I've also updated the
390:Replace the arrowhead with a picture of a knight.
620:Support alt1, weak support alt2, neutral original
324:Support Alternative 1, Neutral on Alternative 2
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349:Alternative 2 is too busy, in my opinion.
68:- Faster, with shading of visited squares.
326:. Well executed, informative animation.
57:- An open knight's tour of a chessboard.
406:It sounds like what you really want is
659:Promoted File:Knight's tour anim 2.gif
308:Alt only. Without question excellent.
695:Featured picture nominations/May 2010
18:Knowledge:Featured picture candidates
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637:Support Alt 1, weak support original
94:Articles in which this image appears
290:Support either alts, prefer alt 1.
685:Ended featured picture nominations
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639:- these show the concept well.
428:File:Knights-Tour-Animation.gif
408:File:Knights-Tour-Animation.gif
382:File:Knights-Tour-Animation.gif
320:(was not logged in at the time)
129:) 18:24, 25 May 2010 (UTC) and
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690:Featured picture nominations
131:support alt 1 but not alt 2
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102:FP category for this image
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426:Almost, but not quite.
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39:Voting period ends on
603:Support alternative 1
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622:. Have fun, closer.
119:Support as nominator
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573:Jujutacular
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256:Perl source
188:Support Alt
155:Jujutacular
679:Categories
41:3 Jun 2010
624:J Milburn
310:Cowtowner
207:J Milburn
607:Time3000
55:Original
503:Nautica
484:upstate
353:Nautica
330:Nautica
306:Support
220:Comment
192:Kaldari
148:Comment
108:Creator
545:Durova
375:Oppose
241:RDBury
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84:Reason
16:<
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508:Shad
489:NYer
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43:at
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