Science
How Bees, Beer Cans and Data Solve the Same Packing Problem
Animation of the same plastic spheres disappearing one at a time.
A holy grail in pure mathematics is sphere packing in higher dimensions. Almost nothing has been rigorously proven about it, except in dimensions 1, 2 and 3.
That’s why it was such a breakthrough when, in 2016, a young Ukrainian mathematician named Maryna Viazovska solved the sphere-packing problem in eight dimensions, and later, with collaborators, in 24 dimensions.
Science
El Niño turns crumbling California pier into climate battleground over what to save — and who pays
As a historic El Niño supercharges the Pacific Ocean and San Francisco experiences record high seasonal sea levels, the latest structural casualty of intense wave action is prompting Bay Area politicians to call for help from the state and federal governments.
They want to rebuild a concrete pier shut down this month after officials deemed it unsafe because of cracking from decades of pounding surf and storms.
As waves crashed against the derelict structure Monday morning, U.S. Rep. Sam Liccardo (D-San José) held a news conference and asked the federal government to follow through on $50 million in climate resilience funding promised by the Biden administration but terminated by the Trump administration in 2025.
The city of Pacifica had been on the shortlist for the Building Resilient Infrastructure and Communities program, managed through FEMA. California and 22 other states successfully sued to reinstate the program, but the funding has yet to be allocated.
Liccardo also asked for nearly $1 million in promised funds from the National Oceanic and Atmospheric Administration for a handrail project on the pier and an additional $9 million to protect coastal bluffs.
Coastlines are already being buffeted and inundated by rising seas. With the closed-off Pacifica Municipal Pier in the background, local politicians and community members said they’re on the front lines and want to rebuild.
“Pacifica is ground zero for coastal resilience,” said state Sen. Josh Becker (D-Menlo Park), as he asked Gov. Gavin Newsom to declare a state of emergency and “help us fix this pier and help this community recover again.”
“This is very much a reminder that an ounce of prevention is worth a pound of cure,” he said, noting that previous attempts for funding went unheeded. “We cannot wait until infrastructure fails before we invest in protecting it.”
As climate change starts to become expensive, it prompts questions about what to protect and what to abandon.
Chad Nelson, chief executive of the Surfrider Foundation, a coastal environmental advocacy organization, said city piers provide coastal access to people who can’t swim or walk on the beach; they are often popular fishing spots and tend to serve a broad swath of their communities.
On the flip side, he said, they keep getting beat up by the ocean and costing taxpayers millions of dollars to repair or replace.
In Santa Cruz, a public wharf damaged by storms in 2024 recently reopened after $1.3 million in repairs. In Capitola, a storm-damaged wharf reopened earlier this year after $10 million had been sunk into repairs. The city is now considering building an open-air restaurant, public bathrooms, a bait shop and a boat launch.
“I think the larger question is: Are we subsidizing bad responses to problems that we know are going to persist?” he said, responding to a question about infrastructure that won’t last.
Charles Lester, director of the Ocean and Coastal Policy Center at UC Santa Barbara, agreed with Nelson that it’s important to distinguish public from private benefits.
“There’s a bit of a difference between a public recreational pier, for example, and your private development that’s going to impact the beach,” he said.
And at some point, he said, we have to acknowledge things are only going to get worse.
In a white paper authored by Lester and Nelson, the two described the coming El Niño as a “reckoning” for the California coast.
El Niños result in larger waves, elevated sea levels and powerful storms — “predictable signature(s) of a climate pattern that returns every two to seven years and is expected, as the planet warms, to intensify,” they wrote.
Wave energy along the shore can run 50% above average during an El Niño, while sea levels can climb 6 to 12 inches — flooding coastal homes, roads and infrastructure. Coastal erosion increases by more than 69% during extreme El Niño events, according to the U.S. Geological Survey.
During the 1997-98 El Niño, seven Pacifica seaside houses were condemned after powerful waves and storms made them unsafe and irreparable. Seventeen people in the state died as a result of the historic flooding and storms.
The funding requests for the pier also come as San Francisco sees its highest summer water levels ever. On Saturday, the National Weather Service recorded levels 1.83 feet above normal high tide. Early Monday morning, the popular Pier 14 along the city’s Embarcadero waterfront was submerged.
High surf along the coast killed a young girl in Laguna Beach, and hundreds of people have been rescued at Newport Beach. Water stranded a hiker along the cliffs of San Francisco’s Presidio — requiring a seven-hour rescue mission that ultimately left the hiker and a rescuer injured as the waves crashed them into the rocks.
“This stretch of coast has been a continuous coastal emergency declaration for almost 10 years due to the repeat damage of storms in recent El Niño years,” the mayor of Pacifica, Christine Boles, said.
Pacifica has been planning for climate change for years, she said. But climate change is outstripping those efforts, and without financial and regulatory support from the federal and state governments, the battle will be all but lost.
Science
Californian is infected with rare tick-borne illness. What to know about the deadly bacteria
A Northern Californian has been confirmed as the fourth-ever person diagnosed with a newly recognized and rare tick-borne disease that causes symptoms similar to Rocky Mountain spotted fever.
The California Department of Public Health confirmed the latest case of Rickettsia lanei bacteria in a patient who was diagnosed in April of this year. Two other California cases were reported in 2004 and 2023.
Public health officials told The Times that the infected person “was seriously ill, hospitalized and has since been discharged and is recovering.”
It is unclear how long the person was in the hospital or what their symptoms were. The state agency said it could not disclose the home county of the person but confirmed the infected person lived and worked in Northern California.
Rickettsia lanei comes from the spotted fever group Rickettsia, bacteria transmitted to humans from the bite of an infected tick.
In California three types of ticks — the American dog tick (Dermacentor similis), the Pacific Coast tick (Dermacentor occidentalis) and the brown dog tick (Rhipicephalus sanguineus) — can transmit the bacteria that cause Rocky Mountain spotted fever in humans and dogs, according to the California Department of Public Health.
Symptoms of Rocky Mountain spotted fever can range from fever and a rash to long-term effects that include damage to internal organs or neurological disorders.
The tick-borne disease has been spreading globally since the early 2000s, most notably in Mexico and Brazil, with reported fatality rates that can exceed 50%, according to a study published by UC Davis.
What is Rickettsia lanei?
Rickettsia lanei bacteria were identified this year in a few Pacific Coast ticks, including a tick in Contra Costa County, according to SFGate, where the latest case was first reported in April.
The new bacterium was added to the list of potentially transmittable pathogens in 2024 by the state public health department after its severe symptoms were studied in two cases of infected men nearly 20 years apart, according to a report published in the Centers for Disease Control and Prevention Emerging and Infectious Diseases journal.
“Sustained investment in public health has enabled development of the advanced molecular tools that detected these infections,” the California Department of Public Health said in a statement to The Times.
According to the report, both men fell ill after spending time outdoors, one playing golf at five courses in Alameda and Contra Costa counties within 14 days of the onset of his symptoms. This first patient had fever, headaches, muscle pain, malaise, loss of appetite, diarrhea and abdominal pain, among other symptoms. His condition worsened on his third day in the hospital, according to the report. The man was ultimately in the hospital for 22 days, including 11 in the intensive care unit with a primary diagnosis of rocky mountain spotted fever and a secondary diagnosis of acute kidney injury.
The other infected person had visited and camped at a county park and state beach in San Mateo and Marin counties. The second man reported a five-day history of headaches, vomiting, light sensitivity, neck pain and confusion, according to the report. On the third day of hospitalization, the man became comatose and was intubated, the report stated. After 13 days, he was discharged with a primary diagnosis of severe Rickettsia.
Researchers have known about Rickettsia lanei since 2018 when it was detected in rabbit ticks in Sonoma County, but they didn’t know its potential harm to humans because the rabbit tick rarely bites people.
“The Pacific Coast tick, which bites humans more frequently, may occasionally acquire the organism from an infected rabbit, which is the most likely route for the rare human infections that have been identified,” the state health agency said.
Should I be worried about contracting Rickettsia lanei?
Human infections are rare but could be underreported because Rickettsia lanei symptoms are very similar to those of rocky mountain spotted fever, said Janet Foley, veterinarian and disease ecologist at UC Davis.
“I think it’s so new that I don’t know if anybody’s really gotten a grant to study it or put it under a microscope,” Foley said.
Rickettsia lanei bacteria cases could also have gone undetected for so long because some cases were not severe, she said.
Foley said Californians should be aware of Rickettsia lanei and take precautions against tick bites.
How to keep disease-carrying ticks at bay
The best way to avoid ticks and tick bites is to be vigilant in your surroundings, Foley said, noting that ticks can transmit other diseases such as Lyme disease.
To keep a disease-carrying tick at bay, Foley recommends:
- Covering up your arms and legs when outdoors by wearing pants and long-sleeved shirts.
- Staying out of the grass where a tick can latch onto your clothing. Instead stay on a cleared path.
- Wearing light-colored clothing so it’s easier to spot a tick if one jumps on you.
- After an outdoor activity, take off your clothes, toss them in the wash and take a shower.
- If your dog goes with you for outdoor activities, give it a bath and then apply tick medication.
Science
Infant formula recalled after California baby sickened with botulism
Nara Organics recalled its whole milk baby formula after a California child and two others were sickened by potentially fatal infant botulism, federal officials said.
Parents should immediately stop giving the formula to their children, said officials from the U.S. Centers for Disease Control and Prevention. Unopened cans should be returned or thrown away.
All three infants, who ranged in age from 2 to 5 months, were hospitalized and given a drug to treat infant botulism, officials said. No deaths have been reported.
Parents should quickly seek medical care for an infant who has difficulty swallowing, poor feeding, loss of head control or decreased facial expression, the CDC said. Other symptoms include constipation, drooping eyelids, sluggish pupils and a weak cry.
Because symptoms of infant botulism can take several weeks to begin, officials said, parents of children who have consumed the formula should monitor their child for signs for a month after the product was last consumed.
Nara Organics formula is sold online and at Target stores. The two other infants who were hospitalized were from Pennsylvania and Washington.
The New York company said in a statement that so far its product had not tested positive for the bacterium Clostridium botulinum. Nevertheless, the company said, it decided to recall all products currently on the market.
“We sincerely apologize for the concern and distress this announcement causes our customers,” the company said. “We are committed to leading with transparency and accountability throughout this process as we work to identify further information.”
Consumers can find refund information on the company’s website at nara.com.
Infant botulism happens when swallowed spores from the bacterium infect a baby’s large intestine and make a toxin in it. If not treated, the child can experience a progressive paralysis that can lead to breathing difficulties and require weeks of hospitalization.
Last year, another manufacturer recalled its product — ByHeart Whole Nutrition Infant Formula — after an outbreak of infant botulism sickened dozens of babies across the country.
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