A similar construction can be done by initially erecting a square internally on the side 
.
This leads to the 
-inscribed square. The triangle 
of centers of the 
-, 
-, and 
-inscribed squares form the outer inscribed squares triangle,
which is perspective to 
with the inner Vecten point, Kimberling's 
, as its perspector.
The triangle has area
 |
where 
is the area of the reference triangle.
