1.6 from a rounded line length is hardly transcendental,You can't get there from here! (from inside the box)
but is still ethereal from a dreamy perspective. Nevertheless,
this new trapezoid incorporates Qphi = sqrt(Pi) / sqrt(4-Pi)
= 1.9130583802711007947403078280203..
"Quadrangularly Pythagorean" comes to mind.
Rod