论文标题
平面不一致的平气进入相等的四边形
Incongruent equipartitions of the plane into quadrangles of equal perimeter
论文作者
论文摘要
由R. \ nandakumar的问题激发，我们表明欧几里得平面可以分为同一区域和同一周长的相互不一致的凸四个四边形。作为副产品，我们通过单位面积的相互不一致的三角形来获得平面的顶点解剖，这些区域的三角形任意接近平衡三角形的周期性顶点到vertex的瓷砖。
Motivated by a question of R.\ Nandakumar, we show that the Euclidean plane can be dissected into mutually incongruent convex quadrangles of the same area and the same perimeter. As a byproduct we obtain vertex-to-vertex dissections of the plane by mutually incongruent triangles of unit area that are arbitrarily close to the periodic vertex-to-vertex tiling by equilateral triangles.
