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arXiv 1809.04243math.MG
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单面四边形折纸镶嵌的自折叠性

Self-foldability of monohedral quadrilateral origami tessellations

Thomas C. Hull, Tomohiro Tachi

摘要:

利用刚性折纸的自折叠性的数学模型,我们确定了平面上的哪些单面四边形平铺是唯一自折叠的。特别是,三浦织线和鸡线图案在我们的定义下不是自折叠的,但是关于瓦片的中点旋转对称的这种瓦片是唯一自折叠的。

英文摘要:

Using a mathematical model for self-foldability of rigid origami, we determine which monohedral quadrilateral tilings of the plane are uniquely self-foldable. In particular, the Miura-ori and Chicken Wire patterns are not self-foldable under our definition, but such tilings that are rotationally-symmetric about the midpoints of the tile are uniquely self-foldable.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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