Some 8,000 to 10,000 honeybees had surreptitiously moved into the neighborhood sometime in the past month and managed to build a giant hive in a tree between 80th and 81st streets without anyone noticing.

The queen decided to bust out at around 4 p.m., and flew south for a half-block before returning home.

She was followed dutifully on her outing by all of her subjects.

“It was a three foot column of bees,” said Doug Becker, 40.

Police Officer Anthony Planakis, the NYPD’s resident beekeeper for 30 years, said it was “one of the biggest swarms I’ve ever seen.”

He took all the bees into custody as a crowd of onlookers applauded, and said he’d bring them “to a farm in Connecticut to pollinate.”

This bees got loose only days after a swarm of amateur beekeepers buzzed around City Hall in support of a bill to legalize their hobby.

Then again, if the city is continually cooking books (”Surprise, here is a half billion!”), then they won’t really have to worry about it until after November 3 at least:

In May, the mayor hoped to generate $1.5 billion in revenue by raising the sales tax, doing away with a sales tax exemption for clothing and negotiating with the city’s unions on both health care costs and pensions.

He was partly victorious: The City Council signed off on hiking the sales tax to 8.875 percent from 8.375 percent and agreed to do away with the exemption for clothing selling for more than $110. The city’s unions also went along with contributing to some of their health benefits.

Elsewhere, the mayor was not so persuasive. He was unable to secure the creation of a fifth pension tier for new city employees in Albany, and the City Council refused to endorse a five-cent tax on plastic bags. In the end, the fiscal year 2010 budget agreement came up $359 million short.

This also doesn’t factor in the uncertain situation in Albany, where the legislature must approve all of the mayor’s tax proposals. The state will have to OK the sales tax increase, among other revenue measures, by July 1.

An administration spokesperson said the city will make up the revenue shortfall elsewhere. Conveniently, the city’s budget department reported last week that an additional $438 million to help fill the gap was generated thanks to “conservative” revenue projections.

But what some see as faulty revenue projections, others caution is a misleading budget process.

“It amazes me that they find a half a billion dollars,” said Councilmember Lewis Fidler. “Surprise, here is a half billion.”

“They are not playing all the cards on the deck,” added Fidler, who says the administration squirrels away funding to keep the City Council out of the budget process.

Some advocates also question whether the administration is being completely open about its revenue projections.

“If they are not being transparent about where the money comes from it makes me nervous for New Yorkers who rely on programs that are less politically popular, like AIDS housing programs,” said Barry. “We aren’t firehouses.”

Others wonder about the politics and whether the entire budget process represents an attempt to make the city’s fiscal situation appear OK for now, until after the city elections. In an analysis of the mayor’s budget, the city’s Independent Budget Office not only predicted far higher deficits in future years — climbing to $5.8 billion in fiscal year 2012 — but also observed, “Given that this a municipal election year, the difficult decisions about spending cuts and tax increases that lie ahead are unlikely to be addressed until November.”

Some advocates fearfully agree.

“People expect these cuts to be back on the table in the November financial plan after the city elections,” said Barry.

“The effect on morality, people don’t anticipate,” said Prof. Dan Ariely, the author of “Predictably Irrational,” who conducted the studies. “We asked them if wearing fakes would get people to cheat more, they didn’t think it has an effect.”

. . .

In one of his studies, half of the 250 subjects were told that the designer glasses they were wearing were “real,” while the other half were told they were wearing “counterfeits.” They were told to do a number of tasks that seemed to be related to the glasses, like evaluating scenery. But tucked into the sequence was a math test. Researchers found that 60 percent of those who were wearing “counterfeit” glasses cheated, while only 20 percent of those wearing “real” glasses cheated.

Location Scout: Counterfeit Triangle.

When Jeanmarie Ritger’s 10-year-old daughter swims with friends in the family’s backyard pool in Dongan Hills, the children are captured on a video camera posted on a neighbor’s roof.

There is nothing Ms. Ritger can do about the unwanted surveillance of her yard, her life and her daughter, say officials.

That’s because the camera is not trained on her bedroom or bathroom window — places where New York law says a person has a reasonable expectation of privacy and such surveillance would be illegal.

“I’m stuck and I’m very uncomfortable and I’m concerned,” Ms. Ritger, an elementary school teacher, said during a recent interview in her yard under the watchful eye of her neighbor’s camera. “When does surveilling someone’s property become an invasion of someone else’s privacy?”

Not when it’s in a homeowner’s back, side or front yard.

Ms. Ritger’s video-taping neighbors defended their rooftop camera, saying they are protecting their yard and in-ground pool, not spying. They accuse Ms. Ritger and her brother, who lives in the house next-door, of throwing worms, berries and calamari (squid) into their pool over the last few years. Ms. Ritger has flatly denied those claims, calling them “ridiculous.”

“It’s watching my yard and her yard,” the neighbor, Peter Malvagna, said of his camera. “It’s legal and I can’t get in trouble for it.”

. . .

William Smith, a spokesman for the Richmond County District Attorney Daniel Donovan, said the Staten Island office was the first to win a felony conviction in the state under Stephanie’s Law. A retired firefighter was convicted here in 2004 of secretly recording his girlfriend’s teen-age daughter undressing in his home.

Before the enactment in 2003 of Stephanie’s Law, which was created after a Long Island woman was secretly recorded by her landlord undressing in her apartment, there were even fewer protections from prying eyes.

“In plain language, New York State law defines unlawful surveillance as recording someone, without their permission, at a place and time when a person has a reasonable expectation of privacy, specifically a place where a person believes he or she could disrobe in privacy. This law has not been interpreted to cover the outside of a residence, especially in an urban or suburban environment like Staten Island,” said Smith.

Residents of a block in Boerum Hill have known for months that rogue urinators were defiling their street, but they never had the proof to convince local police of a scatological conspiracy on Dean Street — until now.

A two-liter container of human urine, complete with syringes bobbing in the waste, was found Sunday morning between Bond and Nevins streets — and the repulsive find was finally enough to prove to cops that residents were being tormented by micturating hellions and not merely dogs with overactive bladders.

“It’s absolutely gross,” said Joseph Samulski, who had the misfortune of finding the container on his front steps. “I don’t even know how you could accumulate that much urine.”

But on the brighter side, “It was the first time we were able to establish what we’ve been saying on our block — that someone has been pouring urine on cars.”

. . .

The pissing match broke out on the day of the block party last September, when several people emerged from their homes near the Nevins Street end of the block to encounter an overpowering stench of liquid waste on the street and in one man’s pickup truck.

Since then, that pickup truck has been showered at least two other times.

“Thankfully, whenever it happened, my truck needed a good washing anyway,” said good sport Kevin McGowan.

On Sunday, March 2, the Russian & Turkish Baths on East 10th Street in the East Village was living up to its history of hosting damp celebrities such as Sean “P. Diddy” Combs, Jennifer Lopez and John Belushi. . . .

. . .

. . . Sean Lennon, two topless young women and Mr. Lennon’s mother, Yoko Ono, stole the show. They were in the Russian Room, sweating it up.

“Sean was pouring water over Yoko’s head,” reported a witness, who was sitting among the packed crowd in the room, which is essentially a giant oven. “She recoiled momentarily when he poured the ice cold water, but soon began enjoying it. She was sitting down with a towel around her head. She was wearing one of the bath-issue togas.”

Mr. Lennon and his two female friends were standing in the middle of the room.

“They were massaging each other’s boobs suggestively,” the source said of the young ladies. “Sean was sweating like crazy. The two girls he was with were like 19, pretty hot, and he was making out with one of them.” Mama Ono did not seem to notice.

A health-conscious Brooklyn mom says she nearly jumped out of her skin when she found a little green frog napping between the leaves of a head of organic lettuce she brought home.

“I jumped away” said 39-year-old Yvonne Brechbuhler, fearing she’d uncovered a dead bug or worse, a slug.

“I didn’t know what it was. But once I realized it was a frog, I was okay.”

The Prospect Heights mom, who doubles as a stage actress, described the tiny visitor no bigger than the tip of her pinky finger as “one tough frog.”

She said first the frog survived a journey from South Florida to the Park Slope Food Coop, then another three days in her refrigerator.

Finally it narrowly escaped being part of a pesticide-free salad she was making last week.

A study of the two new baseball stadiums by feng shui expert Judith Wendell found the Yankees’ future home has good luck while the Mets’ Citi Field will be plagued by “a lot of disturbed energy.” Wendell visited the two sites, which are slated to open in 2009, exclusively for The Post.

There is one bright spot for Met followers: Citi Field’s color scheme of dark blue exposed steel with green seats and red brick are what Wendell calls a “power combination.” They are certainly “much better” than the team colors of blue and orange, which she deems “antagonistic.”

The Yanks broke ground on Babe Ruth’s birthday, Aug. 16, and are repeating many elements of the old stadium, including the angles for home plate and the positions of the dugouts. Cathedral arches and the entire façade will also recapture the old Yankee Stadium incarnations.

“In feng shui terms, they are taking the ‘predecessor chi’ and bringing it with them and graphing it on to the new stadium, which is very good for luck,” said Wendell . . .

Location Scout: Citi Field, New Yankee Stadium.

Scientists have discovered that the long-contaminated Gowanus Canal is not just toxic, it’s also infected with gonorrhea.

The cringe-inducing find was revealed by New York City College of Technology biologist Dr. Niloufar Haque in this month’s Scienceline, an NYU publication.

While developers have envisioned the canal someday turning Brooklyn into a bit of Venice with idyllic gondola rides, Haque’s team found their own emergence of hanky-panky in the Gowanus’ waters.

“One group of students found gonorrhea in a water drop,” the professor told Scienceline.

It’s not the first time the toxic waterway — dubbed the Lavender Lake because of its oily, purplish hue — has come up positive with disease. In the mid-1970s, the channel was found to contain typhus, typhoid and cholera.

Location Scout: Gowanus Canal.

In an ongoing campaign to prevent a possible outbreak of West Nile virus, the New York City Department of Health and Mental Hygiene (DOHMH) has announced yet another round of helicopter missions to eliminate mosquito larvae.

According to DOHMH, the helicopters will be dropping “natural bacterial granules” on non-residential marshlands in Queens, Staten Island and the Bronx, on Thursday, August 16, Friday, August 17 and Monday, August 20, from 6 a.m. to 9 p.m. each day. In case of rain, the campaign will continue the following day.

DOHMH says the “larvicide” pellets are meant to kill the mosquito larvae, which live near the surface of pools of stagnant water, before they can emerge as adult insects.

. . .

The agents being used by DOHMH are VectoBac CG and/or VectoLex CG, which contain a bacteria, bacillus thuringiensis israelensis.