A quartet of mathematicians from Yorkshire University, the University of Cambridge, the University of Waterloo and the University of Arkansas has discovered a 2D geometric shape that does not repeat itself when tiled. David Smith, Joseph Samuel Myers, Craig Kaplan and Chaim Goodman-Strauss have written a paper describing how they discovered the unique shape and possible uses for it. Their full paper is available on the arXiv preprint server.
When people tile their floors, they tend to use simple geometric shapes that lend themselves to repeating patterns, such as squares or triangles. Sometimes though, people want patterns that do not repeat but that represents a challenge if the same types of shape are used. In this new effort, the research team has discovered a single geometric shape that if used for tiling, will not produce repeating patterns.
Saturday, March 25, 2023
Finally, something cool. Breakthrough in tiles.
"You people do not deserve freedom." Liberal Party of Canada
A few days ago, Britain's Spectator magazine did a tremendous job of summing up all the intrigue, machinations, politics, and noise surrounding Chinese interference in Canadian elections. And it came to a remarkable conclusion.
"There are those who bemoan declining trust in our leaders. Here we see the damage that can be done by a leader who does not trust the public," wrote their correspondent Sam Dunning.
When it comes to China, we see the same ingrained paternalism. Trudeau knew there was a problem with Chinese interference; the Prime Minister's Office had reports that Chinese money was being funnelled to Liberal candidates in federal elections, national security agencies had warned that Chinese Canadians were being recruited to assist in distributing illegal donations, and to vote for preferred candidates in nomination races.
But Trudeau's reaction was to keep silent and keep Canadians in the dark. Why? Maybe Trudeau is a traitorous villain who allowed China to do their worst. But the more obvious explanation from his past actions is that he didn't think Canadians needed to know. In his arrogance, he almost certainly thought he and his party were not only best to handle it, but that they could learn little from anyone else's input.
Thursday, March 23, 2023
The stupid. It burns.
The Idaho Supreme Court has vacated a Mountain Home man's conviction for felony drug possession and delivery after it ruled that a police drug-sniffing dog trespassed and conducted an illegal search by putting its paws on his vehicle, prompting the search that led to his arrest.
The court issued its decision Monday, with three of the five justices in agreement and two dissenting.
The case centered on the 2019 arrest of Kirby Dorff. According to court documents, the officer said Dorff was stopped by a patrol officer in Mountain Home after Dorff drove across lanes of traffic without using a signal. A second officer arrived with a police K-9 named Nero who was trained to detect illegal drugs.
While Dorff explained to the first officer that he didn't have a valid driver's license or proof of insurance in the vehicle, Nero began sniffing around the car. Police body camera footage showed the dog jumped up against the car multiple times, including once when his paws rested on the driver's side door and window as he sniffed the "upper seams" of the car, officials said.
Justice Robyn Brody in the majority opinion wrote that justices weighed whether the dog's intrusion on the exterior of Dorff's vehicle constituted trespassing as it would have if the dog had entered the interior of the vehicle.Ultimately, Brody wrote, she and justices John Stegner and Colleen Zahn agreed that the exterior of the vehicle is protected by the Fourth Amendment, which protects against unlawful searches. They said the drug-sniffing dog "intermeddled" with Dorff's personal effects by jumping up on the car.
"Intermeddling is the difference between someone who brushes up against your purse while walking by and someone who, without privilege or consent, rests their hand on your purse or puts their fingers into your purse before your eyes or behind your back," Brody wrote.
According to the majority opinion, it doesn't matter that the unlawful search included the exterior of Dorff's property or was performed by a drug-sniffing dog.
Bevans in a separate opinion reiterated his view from an earlier case that a drug-sniffing dogs canine instincts aren't the same as intentional police intrusion.For justices to equate a drug-sniffing dog "instinctually jumping onto the exterior of a car" to a government agent placing a tracking device on a vehicle "stretches logic beyond the breaking point of reasonableness," Bevans wrote.