Karp said the project is all about superlatives: “Anything that’s been done before in Miami we had to meet, greet and beat it.”

Keeping up with the Joneses requires as much. A few blocks south of Boich at 4358 North Bay Rd. is the jaw-dropping home of New York Yankees slugger Alex Rodriguez. A-Rod recently had the spacious contemporary mansion listed with One Sotheby’s International Realty for $38 million but took it off the market and rented it out.

To the north, at 5800 North Bay Rd. is a lavish home formerly owned by Jennifer Lopez, now owned by healthcare executive Mark Gainor, who has listed it for sale for $40 million.

Boich took some heat from locals for his extravagant plans. While two of the houses he bulldozed were in poor condition, the third, built in 1964 by architect J. Arango, was a Miami Modern style structure that some thought should be preserved.

Some of the more fanatical fans of the Miami Heat, which clinched the NBA championship in 2012, might argue a former home of Pat Riley deserves to be preserved and turned into some sort of monument.

Riley, who bought the home in 1996 for $6.3 million, declined to comment. “Unfortunately, Pat is not interested in being quoted for your story,” Heat spokesman Tim Donovan said in an email.

The individual behind the corporation that bought the home has not been identified.

As for Boich, who says he grew up at Turnberry Isle and played in the U.S. Tennis Association Junior International Championship as a teenager, he wants a top-notch tennis court on the northwest side of his property next to a swank glass-walled gym and spa overlooking the bay and downtown Miami. “We’re very interested in sports,” said Boich, who plans to live in the place and “raise a family.”

For many of the world’s one-percenters, however, a Miami mansion is a third, fourth or fifth home. Some collect homes like others collect cars or art — or, at more plebian levels, stamps or coins.

“It’s a discretionary purchase, almost 100 percent of the time,” said EWM’s Ross. “Generally speaking, my business in the ultra high-end tracks the stock market one to one. I can watch the ticker and know if I’m going to be busy or not. Right now, the high-end is flying.”

A previous version of this article listed an incorrect city for the Indian Creek mansions.