A baseball contract worth a third of a billion dollars should be enough to fund an estate in Greenwich, Connecticut, the storied bedroom community for upwardly mobile Manhattanites. New York Yankees pitcher Gerrit Cole signed the record contract in December, and the $5.6 million house followed in fairly short order.

A mansion in Greenwich is as hard to find as a fedora in a film noir, but this 2014-built 9,000-square-footer manages to stand out from the crowd quite distinctly. The façade is dominated by the entry, a magnificent recessed design with a soaring, steeply pitched portico and an echoing architectural flourish that potently emphasizes the invitational quality of the first impression.

The back of the house is far more complex, opening up to a living style that is luxuriously rife with options and details. The stacked stone accents are pushed skyward with an exposed chimney, and a terrace and covered porch entry surveys the pool and gardens that fan out into the 2.13 acres of grounds.

The interiors contain 5 bedrooms and at least 7 baths; a contemporary tonal scheme employs pale grays for a solemn feel that isn’t quite moody; oak plank floors provide contrasting texture. Window seats add a bit of period style to the shared living spaces. Amenities include a fitness room and an entertainment room.

The property’s warm weather potential figures high in the features list of this estate. A saltwater pool and spa, an outdoor fireplace to warm the terrace, and an outdoor kitchen are augmented by the generous acreage and its gardens, lawns, and mature trees.