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The structure is dubbed the Bézier Curve House in tribute to a dead French engineer named Pierre Bézier.Tom Arban/Tom Arban

Yes, one could declare “Here’s a house that throws a curveball” or “This is architecture that takes a dramatic turn,” but that’s just too, well, predictable for this Lawrence Park house.

No, this one was a dance. A dance between the architects at Bortolotto; client/builder Farhad Kazmian; innovative modeling software called Grasshopper; a dead French engineer named Pierre Bézier; and a group of very alive and talented framers. And that dance produced one heck of a sexy roof that, on the outside, blends very complex mathematical curves into something almost slithering and snake-like, and, inside, has the randomness of human touch.

“That’s exactly what happened, did you hear the story?” asks Mr. Kazmian, perched on the edge of his armchair, the excitement evident in his voice even two years after construction. Just then, however, a thunder-like rumble interrupts our chat. Tania Bortolotto and Mr. Kazmian laugh it off, however, since it’s just sunlight-softened snow doing exactly what it’s supposed to do: fall along the house’s zinc-shingled valley into a cone-shaped pile near the front door.

Bézier Curve House didn’t cost that much more than similar-sized square boxes that stick out like sore thumbs in traditional neighbourhoods.Tom Arban /Tom Arban

As he looks up at the opposite side of that valley, here clad in warm wood, Mr. Kazmian picks up the story. He tells of sturdy steel beams that met at right angles on this L-shaped house, and how the framers, using Bortolotto’s drawings, installed an LVL beam (Laminated Veneer Lumber) between two of those beams and “strapped it back” to bend it. Then, once the proper curve had been achieved, they used plain old string to determine where to place each rafter.

“We were across the street saying ‘No, a little bit to the left,’” Mr. Kazmian says with a laugh. One has to wonder if Pierre Bézier (1910–1999), a pioneer of computer-aided curve design, would’ve enjoyed witnessing that very un-mathematical process?

Ms. Bortolotto counters that there was, indeed, plenty of math: “The software was able to create these triple curves,” she says. “If you’re working in AutoCAD, there’s no way that when you’re looking at it in plan, in two-dimensions … you’d be asking yourself: ‘Is this right?’ [Using Grasshopper] is like getting Plasticine or foam … and deciding whether it’s going to be feasible or not, spatially.”

In tribute to Mr. Bézier, they have dubbed the structure the Bézier Curve House.

This roof, it should be noted, came into existence due to a number of factors. First, the 1950s home Mr. Kazmian purchased (with wife, Narges Karbasi) in 2011 came with an unusual front yard lap pool and, since one would never receive permission to build that feature today, any design from Ms. Bortolotto (and Alex Horber) would seek to retain it; this necessitated an L-shaped home to “cradle” the pool, Ms. Bortolotto says.

The small sitting room looks out at the lap pool through enormous windows.Tom Arban /Tom Arban

Next, Mr. Kazmian, owner of homebuilder Abond Homes, not only wanted a calling card he could live in, he was fed up with the sameness of 21st-century design: “There was a point in time that all the contemporary designs started looking the same, everything was a box in glass,” he says. And, since most of his street-mates had replaced their postwar houses with larger, faux-historic designs – some with complex rooflines sprouting turrets – he decided a gable or mansard roof, but one with a modern twist, would blend well. When he found Ms. Bortolotto’s “House in Kings Cross” online, he knew he’d found his architect.

But that’s not to say their dance was a quickstep: “It was a very collaborative [process], tons of meetings, back-and-forth,” Mr. Kazmian says while he flashes a smile at Ms. Bortolotto. “It was six months to do the concept and ideation because I was very picky and difficult and I was pushing back in some areas; but I was glad that she was almost stubborn at some points.”

One feature Ms. Bortolotto pushed for was the asymmetrical A-frame. By slicing off the western leg of the A and pulling the eastern leg down very low, kinetic energy – a frozen dance if you will – has been achieved. Further, but tucking the “real” load-bearing wall behind glazing and allowing thin fins to express the A shape to passersby, the roof possesses a Fred Astaire-like lightness and grace. This, laughs Mr. Kazmian, “was a lot of work and money, but worth it.”

Tom Arban /Tom Arban

The great room. Clean lines, creamy-white walls and 12-foot-plus ceilings dominate upon opening the front door.Tom Arban /Tom Arban

However, not describing what’s under this roof would do this dancing dwelling a disservice.

Clean lines, creamy-white walls and 12-foot-plus ceilings dominate upon opening the front door. And while a visitor is confronted with a lot of volume, Mr. Kazmian has provided coziness via scale, colour and texture. To wit: Rather than just rows of stark pot lights, the addition of canisters and task lights change things up; rich, sexy texture abounds in the kitchen and dining areas, where sculpted surfaces clad the kitchen island, and ribbed brass panels enrobe the bar area; the bar top, too, is crafted from warm walnut that invites touch; in the small sitting room facing the lap pool, enormous windows welcome cedars, sculpture and the ipe deck inside.

The real showstopper, of course, is the great room, where the underside of Bézier’s curve acts as yin to the yang of an equally curvaceous, sculptural staircase to the private bedroom wing. Here, with tall windows set at second storey level (the garage is underneath), this four-member family can feel both semi-private and semi-public; indeed, Mr. Kazmian says last December’s enormous Christmas tree was placed right against the window so all could enjoy it.

Interestingly, the choice was made to make bedrooms – even the master – somewhat smaller in this more than-5,000-square-foot house in order to enlarge the walk-in closet, create a large master bath and provide a guest bedroom.

Overall, Bézier Curve House didn’t cost that much more than similar-sized square boxes that, frankly, stick out like sore thumbs in traditional neighbourhoods. The key is research: “There’s a need in the market for a little bit of education,” Mr. Kazmian says. “If you want a house that’s not like those guys, it’s not that your only choice is an ugly glass box.”

Find a partner like Ms. Bortolotto, and, well, one’s dance card will be filled for decades to come.

Tom Arban/Tom Arban

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