Find Max Hexagon in Square

Fold the endpoint of the midline of the square onto the 1/4 line.

 

There are other three methods:

www.flickr.com/photos/origamiru/29435821637/in/faves-1199...

www.flickr.com/photos/119967028@N08/42264262344/in/datepo...

www.flickr.com/photos/119967028@N08/42264262694/in/datepo...

Done