论文标题
四边形爬行动物
Quadrilateral reptiles
论文作者
论文摘要
如果可以将其分解为$ k \ ge 2 $非重叠和类似于$ p $的一致多边形，则多边形$ p $被称为爬行动物。我们证明，如果循环四边形是爬行动物，则是梯形。与U. Betke和I. Osburg的结果相比，我们发现每个凸爬行动物都是三角形或梯形。
A polygon $P$ is called a reptile, if it can be decomposed into $k\ge 2$ nonoverlapping and congruent polygons similar to $P$. We prove that if a cyclic quadrilateral is a reptile, then it is a trapezoid. Comparing with results of U. Betke and I. Osburg we find that every convex reptile is a triangle or a trapezoid.
