This 5,800-square-foot Amagansett property listed for $12.995 million proves that it’s hip to be square.

The futuristic mansion on 1.84 acres that seems to float above the landscape includes six bedrooms, 7.5 bathrooms and a variety of ocean and bay views.

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Designed by Barnes & Coy Architects, the modern, “squared-off” interior matches the striking architecture, says Justin Agnello of Douglas Elliman Real Estate, who is co-listing the home with James Keogh and Hara Kang.

“What they did is squared everything, then put this really cool circle that goes through the entire house right above where the den is,” he says. “You see all these squares everywhere, and then you see this circle that goes through the center of the house. When you’re inside, it has different angles and styles.”

The sleek design also includes a kitchen in which most of the appliances are hidden in plain sight by walnut.

“If you look in the kitchen you won’t even tell there’s two giant refrigerators, three freezer drawers, and a drink drawer,” Agnello says, who adds that the architects took “great pains” to obscure light switches and wires as well. The kitchen opens to a den with a fireplace.

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Views of the property, on the other hand, are front and center.

“It’s really stunning. The whole one side of the house, toward the ocean — it’s a wall of glass, balconies and porches,” Agnello says.

The first floor features an open floor plan. Upstairs, a master bedroom suite includes ocean views, a private balcony, his-and-hers bathrooms, a walk-in closet and personal office.

Downstairs, an entertainment area includes a game room, bar and movie theater that seats 10. That space leads to a 16-by-44-foot in-ground saltwater gunite pool. The private pool area includes a hot tub, an outdoor shower, seating area, fire pit, and concealed professional outdoor cooking space.

Correction: An earlier version of this story had the wrong photo.