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File:Nodoid.svg

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    Original file (SVG file, nominally 715 × 378 pixels, file size: 1.3 MB)

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    Description
    English: Plot of the nodoid constant mean curvature surface, generated by rotating a nodary around the x-axis. Only the lower half of the surface is shown, in order to display the internal structure.
    Español: Gráfico del nodoide. Esta superficie tiene curvature media constante y es generado a partir de rotar una curva nodaria alrededor del eje x. Sólo se muestra la mitad inferor para ilustrar la estructura interna.
    Türkçe: Sabit ortalama eğri yüzeyinin grafiği. Nodary'nin x ekseni etrafında döndürülmesiyle oluşturulmuştur. İç yapısını belirtmek için, yüzeyin sadece alt yarısı gösterilmiştir.
    Date
    Source Own work
    Author Nicoguaro

    Creation

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    The parameterization used was

    x=a(1−cos⁡u+∫0usin2αsin2α+βdα)
    y=a(sin⁡u+sin2u+β)cos⁡v
    z=a(sin⁡u+sin2u+β)sin⁡v

    with β=a2/b2 where a and b are parameters. The mean curvature is H=1/(2a).


    This file was created with Python,NumPy and Matplotlib.

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    Image This plot was created with Matplotlib.

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    I, the copyright holder of this work, hereby publish it under the following license:
    w:en:Creative Commons
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    This file is licensed under the Creative Commons Attribution 4.0 International license.
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    • to share – to copy, distribute and transmit the work
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    Date/TimeThumbnailDimensionsUserComment
    current02:23, 15 February 2016Thumbnail for version as of 02:23, 15 February 2016715 × 378 (1.3 MB)Nicoguaro (talk | contribs)Remove background.
    02:13, 15 February 2016Thumbnail for version as of 02:13, 15 February 2016715 × 378 (1.3 MB)Nicoguaro (talk | contribs)User created page with UploadWizard

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