Here’s a design for a building that could easily be a gate house, a garage, or both. The primary materials include a brick main floor, a truncated stucco second floor for living, and a standing seam metal roof with brick chimneys. The pedimented door surrounds could be either cast stone or painted wood. The dormers are painted wood.
Both sides of the arched opening are deep enough to accommodate parked cars if necessary, or perhaps security offices. Either way the top floor gives new meaning to to the phrase “apartment over the garage” with full-height ceilings, attic storage, numerous large windows, and fireplaces.
This was a design exercise using the geometries implicit in the root 2 rectangle.