Because the opposite sides of the diamond are parallel, the distance from any point on the parallel line to another parallel line is equal, which is also H.
So the distance from F to straight line A 1B 1 is equal to the distance from point D 1 to A 1B 1 is H;
According to the median line theorem, a1a2 = 2a1f/5 can be obtained.
The distance ratio between point A2 and point F to the straight line A 1B 1 is also 2h/5;
S△a 1a2b 1 =( 1/2)* a *(2/5)h = ah/5 = S/5
The area of A2B2C2D2 = s-4s △ a1a2b1= s/5;
In the same way, the area of AnBnCnDn is s/(n- 1 to the fifth power).