This rotated square is a contemporary reinterpretation of the bay window, an architectural device that's been around for centuries.
Here's another rotated square that reinterprets the bay window. The angle establishes the window that maximizes the view.
Like the exclamation point, this rotated square ends and emphasizes the string of rooms before it. This room is made all the more special with its tall and stepped windows, abundant natural light and tall ceiling.
Stairs exist in a special place in a home because they are the way we move from the public realm of the first floor to the private realm of the bedrooms. This staircase's geometry within a rotated square and the abundant natural light make it all the more special, celebrating the act of going up and down.
Sometimes the rotated square is just a small bit of countertop that creates a delightful place for two to sit and enjoy the morning coffee.
Stacked and rotated one atop the other, the rotated square is sometimes an entire floor level of the house.
Sometimes an entire wing of a house will be rotated to accommodate a site feature such as topography ...
... trees ...
... or a lake.
With all this rotation, we should discuss movement along a diagonal. In this example, the diagonal created by the straight wall below the chair rail creates a longer route to travel, while the stepped wall provides places for the eye to rest. The stepped wall makes this hallway a place to enjoy rather than a passage to rush through.
By using the diagonal, this designer increased the overall size of the room and has been able to establish multiple functional areas within the one space.
Using the diagonal in this bathroom plays off of the triangular art glass window and increases the dimensions available for the tub and vanities.