Knotted catenoid : 無料・フリー素材/写真
Knotted catenoid / Arenamontanus
ライセンス | クリエイティブ・コモンズ 表示 2.1 |
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説明 | All knots can be spanned by an oriented nonsingular minimal surface, and my particular favorite is the threefoil knot surface. While playing around with surface evolver I got the idea of attaching a catenoid handle to it, producing this rather neat surface.An obvious generalisation is to add a catenoid to the top too, producing a three-ended minimal surface. I wonder how the knotted end of the surface continues. It seems rather likely that it will self-intersect and behave badly, although the "blades" look somewhat helicoidal. I don't know any reliable method of extending a meshed minimal surface onwards (lots of numerical instability issues). Calculated in surface evolver, then rendered in Bryce. |
撮影日 | 2006-11-25 21:15:22 |
撮影者 | Arenamontanus , Oxford, UK |
タグ | |
撮影地 | 地図 |