KheeMongolian ornament by rule Монгол

Ugalz · horn scrolls

Scrolls drawn as chains of quarter circles, each smaller than the last by a fixed ratio: a compass construction of a logarithmic spiral. Mongolian ornaments drawn by their rules, not by eye. Set the parameters, then download SVG or PNG.

Ugalz

174 × 100 px

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    Shape
    Form
    Curl

    Each arc is this fraction of the one before. Lower curls tighter.

    The orders recorded for Mongolian ornament.

    Size

    0 fits the repeats as close as they go without touching.

    Colour
    Palettes
    UgalzPainted ger furniture UgalzState flag UgalzState emblem UgalzBlue khadag UgalzFive-colour khadag UgalzWind-horse flag UgalzGer pillars UgalzBlack and white

    Each palette comes from Mongolian colour symbolism. Tap one to apply it, then fine-tune any colour below.

    None keeps the background transparent.

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    How it is drawn

    Each scroll is a chain of quarter circles. Every arc has the radius of the one before times a fixed ratio, and joins it with the same tangent.

    That is the compass construction of the Chinese auspicious cloud and of the Ionic volute. It follows a logarithmic spiral to within 1.4 %, and in SVG each quarter turn is one exact arc.

    Nobody has measured the ratio in Mongolian ugalz, so the default is a starting point, not a canon. Rosettes offer the repeat counts recorded for Mongolian ornament: 2, 3, 4, 5, 6, 8, 10, 12 and 16.

    The rules, their sources and the checks behind them are written up in the repository. Source code and documentation (MIT) · What the palettes mean, and their sources