File:Mathematical-polar-equation-flowers.svg
Original file (SVG file, nominally 642 × 606 pixels, file size: 126 KB)
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DescriptionMathematical-polar-equation-flowers.svg |
Mathematical based floral ornaments, derived from the polar coordinates equation r=b+sin(aθ), which is a slight generalization of the Limaçon and Rose curves.
The self-intersecting curves are displayed with "even-odd" fill algorithm. For other patterns made with the quasi-Limaçon/Rose equation r=b+sin(aθ), see File:Interlaced-Triangles Brunnian-link alternate.svg and File:Quinquetra-interlaced-alternate.svg. For other abstract symmetrical floral ornaments, see Image:Retro-flower-ornaments.svg and Image:Five petal flower icon.svg . |
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Source |
Self-made image, converted from the following four-page vector PostScript source code: %! /A{300 396 translate 75 dup scale}def/w{d mul res div/th exch def th 5 mul d div/x exch def x sin ecc add th cos mul x sin ecc add th sin mul}def/B{0 w moveto 1 1 360 res mul{w lineto}for closepath}def A/d{1}def/ecc{1.25}def/res{5}def B fill showpage A/d{2}def -18 rotate/ecc{1.08}def B eofill showpage A/d{3}def 36 rotate B eofill showpage A/d{4}def 18 rotate B eofill showpage %EOF |
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Author | AnonMoos | |||
Permission (Reusing this file) |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 23:32, 20 July 2009 | 642 × 606 (126 KB) | AnonMoos (talk | contribs) | Mathematical based floral ornaments, derived from the polar coordinates equation r=b+sin(aθ), which is a slight generalization of the Limaçon and Rose curves. *Top left: curve with a=5 and b=1.25, non-self-in |
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Short title | Mathematical r=a+sin(b*theta) floral ornaments. |
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