平面常宽凸域的不对称性度量

A Measure of Asymmetry for Convex Domains of Constant Width

通过引入刻画平面常宽凸域的不对称性函数,证明了在平面常宽凸域中,圆域 是最对称的,而Reuleaux三角形是最不对称的．

We introduce for convex domains of constant width a measure of asymmetry and show that the most symmetric domains are circular discs and the most asymmetric domains are Reuleaux triangles.