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Symmetries in Images on Ancient Seals

机译:古代印章图像的对称性

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摘要

We discuss the presence of symmetries in images engraved on ancient seals, inparticular on stamp seals. Used to stamp decorations, to secure the containersfrom tampering and for owner's identification, we can find seals that can bedated from Neolithic times. Earliest seals were engraved with lines, dots andspirals. Nevertheless, these very ancient stamp seals, in the small circular orovoid space of their bases, possess bilateral and rotational symmetries. Theshape of the base seems to determine the symmetries of images engraved on it.We will also discuss what could be the meaning of antisymmetry and brokensymmetry for images on seals.
机译:我们讨论了刻在古代印章(尤其是邮票印章)上的图像中对称性的存在。我们用来发现装饰品的印章,以防止容器被篡改,并为所有者识别,我们可以找到可以追溯到新石器时代的印章。最早的印章上刻有线条,圆点和螺旋形。但是,这些非常古老的印章印章在其底部的圆形圆形小空间中具有双向和旋转对称性。底座的形状似乎决定了刻在其上的图像的对称性。我们还将讨论印章上图像的反对称和破碎对称的含义。

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