Incongruent equipartitions of the plane into quadrangles of equal perimeter
英文摘要：
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.
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。
