填充定律：叶形多样性的一般框架及其对折叠叶的影响
The filling law: a general framework for leaf shape diversity and its consequences on folded leaves
摘要：
叶子以不同的方式包装在一个芽中，扁平，折叠或折叠，但总是充满整个芽体积。这种“填充定律”有很多后果，特别是对生长折叠叶的形状。这里显示的是不同类型的折叠和包装。折叠的体积总是椭圆体的一部分，在外面圆形的面上有脉，并且叶片边缘在近轴面或轴上。背轴侧的脉保护更脆弱的叶片。褶皱的第一个一般性结果是叶子形状的对称性的存在，以及叶和窦大小之间的定量关系。对于特定的几何形状，叶片可以被侧脉限制，产生匙状裂片，或横向切割，产生不对称的波浪形周边。品种之间的包装变化会引起叶片形状的相应变化。每一个特殊的情况下，显示如何普遍的几何后果的填充法。
英文摘要：
Leaves are packed in a bud in different ways, being flat, enrolled, or folded, but always filling the whole bud volume. This « filling law » has many consequences, in particular on the shape of growing folded leaves. This is shown here for different types of folding and packing. The folded volume is always part of an ellipsoid, with the veins on the outside rounded face, and the lamina margin on an adaxial plane or axis. The veins on the abaxial side protect the more fragile lamina. The first general consequence of the folds is the presence of symmetries on the leaf shape, but also quantitative relationships between lobes and sinus sizes. For particular geometries, the leaf lamina can be limited by lateral veins, creating spoon-like lobes, or transverse cuts, creating asymmetrical wavy perimeters. A change in the packing between cultivars induces the corresponding change in the leaf shape. Each particular case shows how pervasive are the geometrical consequences of the filling law.
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。
