The area taken up by all of the black squares together is therefore 1/4 + 1/16 + 1/64 + ⋯, and this is also the area taken up by the gray squares and the white squares.
如此類推，黑色正方形占的所有面積為1/4 + 1/16 + 1/64 + ...，這也是所有灰色正方形或所有白色正方形所占的面積。