194:. It's good to hear opinions about the animation coming from people not familiar with this sort of thing, because that's exactly the kind of people the animation should be helping. You guys made good points, though. The animation needs better reference points and the lighting is creating confusing shadow patterns. I'm working on an improved version that should fix these issues :) Just give me a few mins. ☢
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as the per the reasons above. Part of the problem is that I have trouble following the movement of the torus. I think the object needs more texture to aid in this. As it is, as it slides around, I have trouble visualising the movement in three dimensions so when it finally stops, I'm a bit puzzed by
269:. Alright, I improved the animation, so purge your caches. It now shows how the cut is done and highlights the circles pretty well. The checkered pattern should help users to discern the shape, and it's also more colorful and has a smaller file! I don't think it can get any better than this. :) ☢
628:. Multiple details are handled well. (1) The plane slices in from the side so that the tangency is apparent. (2) The cut-away reveals the cross-section clearly. (3) The rotation brings the plane perpendicular to the viewing direction so that the circles project
160:. Maybe it is the article going over my head, but I have the same problem as above. I took a long time see the circles. I would suggest highlighting the circles when the animation is frozen at the end. I would support then.
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circles, not ellipses. (4) The choices of colors, textures, and proportions are both visually pleasing and easy to “read”. We get 3D rendering, animation, mathematics, and art — all in one. Well done. --
530:, but (not that it's pertinent to this nomination) I'd really like to know if there's some sort of practical application to Villarceau circles, or what exactly is important about these.
229:. Per Say1988. The red highlights show very poorly against the gray, it took me several times watching to even notice that they were there. I would suggest a shade of bright green like
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Despite watching the animation many times I still can't understand the creation of the circles so, for me, it's too confusing and doesn't add value to the article -
85:, it's an excellent illustration of the concept, but the shading of the shadows in a few cases is very confusing and distracting from the actual shapes involved.
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As far as I'm concerned, no, they don't have much practical use. They are merely a curious and somewhat unexpected characteristic of the torus. ☢
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or bright yellow would be my suggestion for second colour) would be would make the circle pattern easier to notice. --
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Maybe so, but the average person would be viewing this alongside of the article, and would most likely understand it.
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509:. Yay for collaboration and constructive criticism. This is far superior to the original and very feature-worthy.
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374:, very nice. Please, please, please add the source, budding Pov-rayers like me need all the source we can get. -
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Yippee! Knowledge (XXG) is on its way towards having another featured picture that's math related!! --
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Animation showing how an obliquely cut torus reveals a pair of circles, known as
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against that particular shade of gray. Making each highlighted circle a different colour (
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it fixes the flaws and illustrates the concept well.
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the angle I'm viewing, and what its significance is.
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351:. Very interesting and illustrative. --
643:Promoted Image:Villarceau circles.gif
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75:The comments below were towards the
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404:the version currently presented.
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49:. It is simple and elegant.
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416:That's much much clearer -
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485:Ooo! Now I understand! --
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445:. Absolutely perfect.
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466:. Mcuh improved. --
300:Support new version
47:Villarceau circles
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323:Good job! --
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519:(Contribs)
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43:User:Kieff
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611:Nice.
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57:! -
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