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Australian Shepherd History: Behind the BreedBy their very nature, dog breeds are connected to specific places, reflecti...
18/01/2023

Australian Shepherd History: Behind the Breed
By their very nature, dog breeds are connected to specific places, reflecting both their native climates and cultures. As a result, the names of dozens of breeds incorporate their national origins, from the German Pinscher to the Swedish Vallhund to the Bernese Mountain Dog.

And then there’s the exception that proves the rule: the Australian Shepherd.

Despite its formal moniker, this medium-sized herding dog is a quintessentially American breed, developed in Western states like California, Colorado, Wyoming, and Idaho to tend to the large flocks of sheep grazing there.

And that’s pretty much where the consensus ends.

Who was the likely ancestor who bequeathed the Australian Shepherd its medium-length coat and natural bobtail, as well as the blue eyes and merle patterning that appear in some dogs? What’s the reason for the Aussie reference in the breed name? And how much of the breed identity is owed – at first glance, inexplicably – to the Basques, a culturally distinct group of Spaniards whose tenure on the Iberian Peninsula dates back to Roman times?

All good questions. And all without many definitive answers.

Where Did the Australian Shepherd Come From?
To find the Australian Shepherd’s earliest roots, we go first to the white-washed adobe missions established by the Conquistadors, who arrived in the New World in the 1500s. Needing meat to supply their soldiers and clergy, the Spaniards imported their hardy native Churras sheep, as well as herding dogs to tend them. Some early accounts describe a wolf-like dog, much larger than the modern Australian Shepherd, yellowish or black and tan in color, and more a guardian than a herder.

For a better ancestral fit, we can look to the progenitors of the Carea Leonés, a smaller, energetic sheepdog from the León region of northwestern Spain, which herded the Churras sheep alongside the Spanish Mastiffs that guarded them. Careas have merle coats that can be of medium length, and can have blue eyes. Though there is no evidence that Careas-like dogs were brought to the Americas with the Conquistadors, their similarity to the Aussie is nonetheless intriguing.

Regardless of their provenance, as the centuries slogged on, these Spanish-derived herders procreated apace, creating a kind of generic sheepdog that populated New Mexico, California, and beyond.

In the mid-1800s, this sleepy evolution was jostled by boom times: The California Gold Rush created a soaring demand for sheep to feed the torrent of newly arrived miners; the aftermath of the Civil War exacerbated the need for a steady national supply of mutton and wool. The American West again found itself in need of an infusion of sheep – along with more dogs to herd them.

Little Blue Dogs — Not From Australia?
Farmers in the Midwest and East sent their flocks west, accompanied by the British-derived sheepdogs that had been tending them for generations. Many of these dogs originated from working Collies, which oftentimes were merle, as well as tricolor, and black or tan with white – typical Australian Shepherd colors and patterns.

These English Shepherds, as they were called, also occasionally produced dogs with half-tails, or no tails at all.

Most of the sheep that were brought to the West in the late 19th Century were Merinos. These luxuriously coated bleaters originated in Spain, where their export was punishable by death until the 1700s, when Charles III of Spain sent some to his cousin, Prince Xavier of Saxony. After crossing the newly arrived Merinos with their Saxon sheep, the Germans soon became an epicenter of Merino breeding. One German émigrée in particular brought these improved Merinos to Australia, where they soon numbered in the millions, eventually traveling from there to a sheep-starved American West.

Newspaper accounts of the arrival of these sheep from Down Under also mentioned the Australian Shepherds that accompanied them. Much like the English Shepherds that came from the east, these “little blue dogs” weren’t a bonafide breed, but rather a loosely defined type. They, too, were derived mostly from British stock, as was most of Australia’s human population. No one in Australia called them Australian Shepherds – that name was given to them by observant Americans who knew where they came from. While these Australian arrivals weren’t necessarily numerous, eventually every merle sheepdog earned that moniker.

Evidence that the Australian Shepherd we know today derives from British herding dogs, whether via the eastern United States or Australia, is underscored by the landmark 2017 Cell Reports study that examined the canine genome to see how dog breeds are related and, by extension, how they developed. The study found that dogs can be genetically sorted into 18 clades, or groups of related dogs. The Australian Shepherd belongs to the UK Rural clade, alongside the Collie, Shetland Sheepdog, and Border Collie. Like many of the dogs in that clade, the Australian Shepherd carries the MDR1 mutation, which causes sensitivity to ivermectin, among other substances, and the breed can develop Collie eye anomaly – disease sharing that is further testament to its British roots.

A Mix of Many Different Cultures
Interestingly, the study also found that 10 percent of German Shepherd Dogs also carried the MDR1 gene, and posited that the Australian Shepherd either contributed to this quintessentially German breed – or that the two had a common ancestor. Given the Merino sheep’s journey from Germany to Australia to the U.S., it’s conceivable that there were some German herding dogs in tow as well. It’s interesting that a merle, wall-eyed Australian breed known as the Koolie is sometimes called the German Coolie, or “German Collie,” though some authorities say it is a misnomer. Given that herding dogs are often imported alongside the sheep they tend, is it?

If that doesn’t complicate things enough, enter the Basques. For a solid century, from the 1870s to the 1970s, these immigrants from northern Spain found work out west as sheepherders, arriving in large numbers during the Gold Rush. Breed authorities argue – quite vehemently – over their role in the Australian Shepherd’s development: Did the Basques simply herd with the mostly British-derived dogs that were already in the West when they arrived, creating an oft-misunderstood association with the Australian Shepherd? Or did they bring their own herding dogs with them? And if they did, where were they coming from? While popular accounts say the American West’s Basque sheepherders came by way of Australia, the bulk left Spain for Argentina, Chile and Paraguay, eventually heading north to California in the hopes of striking it rich as miners. Whether they would have brought dogs with them is an open question.

Like many Americans whose ancestors arrived in previous centuries, the Australian Shepherd is a confounding mix of many different cultures, influences, and national identities. Sorting them out is likely impossible, but in the end it doesn’t matter much: The American idiom has never been about looking in the rearview mirror.

As for the road ahead, the Australian Shepherd is the country’s 13th most popular breed according to the AKC’s 2019 registration statistics, a ranking that has been rising in recent years. While reputable breeders are cautious about popularity – not every home is appropriate for one of these clever, high-energy dogs – the Australian Shepherd has come a long way from the lonely, wind-whipped mesas of the American West. No matter the long-ago details of how they got there, we’re certainly glad they’re here.

On a moonless January night in 2003, Olivier de Kersauson, the French yachtsman, was racing across the Atlantic Ocean, t...
17/01/2023

On a moonless January night in 2003, Olivier de Kersauson, the French yachtsman, was racing across the Atlantic Ocean, trying to break the record for the fastest sailing voyage around the world, when his boat mysteriously came to a halt. There was no land for hundreds of miles, yet the mast rattled and the hull shuddered, as if the vessel had run aground. Kersauson turned the wheel one way, then the other; still, the gunwales shook inexplicably in the darkness. Kersauson ordered his crew, all of whom were now running up and down the deck, to investigate. Some of the crew took out spotlights and shone them on the water, as the massive trimaran—a three-hulled, hundred-and-ten-foot boat that was the largest racing machine of its kind, and was named Geronimo, for the Apache warrior—pitched in the waves.

Meanwhile, the first mate, Didier Ragot, descended from the deck into the cabin, opened a trapdoor in the floor, and peered through a porthole into the ocean, using a flashlight. He glimpsed something by the rudder. “It was bigger than a human leg,” Ragot recently told me. “It was a tentacle.” He looked again. “It was starting to move,” he recalled.

He beckoned Kersauson, who came down and crouched over the opening. “I think it’s some sort of animal,” Ragot said.

Kersauson took the flashlight, and inspected for himself. “I had never seen anything like it,” he told me. “There were two giant tentacles right beneath us, lashing at the rudder.”

The creature seemed to be wrapping itself around the boat, which rocked violently. The floorboards creaked, and the rudder started to bend. Then, just as the stern seemed ready to snap, everything went still. “As it unhooked itself from the boat, I could see its tentacles,” Ragot recalled. “The whole animal must have been nearly thirty feet long.”

The creature had glistening skin and long arms with suckers, which left impressions on the hull. “It was enormous,” Kersauson recalled. “I’ve been sailing for forty years and I’ve always had an answer for everything—for hurricanes and icebergs. But I didn’t have an answer for this. It was terrifying.”

What they claimed they saw—a claim that many regarded as a tall tale—was a giant squid, an animal that has long occupied a central place in sea lore; it has been said to be larger than a whale and stronger than an elephant, with a beak that can sever steel cables. In a famous scene in “20,000 Leagues Under the Sea,” Jules Verne depicts a battle between a submarine and a giant squid that is twenty-five feet long, with eight arms and blue-green eyes—“a terrible monster worthy of all the legends about such creatures.” More recently, Peter Benchley, in his thriller “Beast,” describes a giant squid that “killed without need, as if Nature, in a fit of perverse malevolence, had programmed it to that end.”

Such fictional accounts, coupled with scores of unconfirmed sightings by sailors over the years, have elevated the giant squid into the fabled realm of the fire-breathing dragon and the Loch Ness monster. Though the giant squid is no myth, the species, designated in scientific literature as Architeuthis, is so little understood that it sometimes seems like one. A fully grown giant squid is classified as the largest invertebrate on Earth, with tentacles sometimes as long as a city bus and eyes about the size of human heads. Yet no scientist has ever examined a live specimen—or seen one swimming in the sea. Researchers have studied only carcasses, which have occasionally washed ashore or floated to the surface. (One co**se, found in 1887 in the South Pacific, was said to be nearly sixty feet long.) Other evidence of the giant squid is even more indirect: sucker marks have been spotted on the bodies of s***m whales, as if burned into them; presumably, the two creatures battle each other hundreds of feet beneath the ocean’s surface.

The giant squid has consumed the imaginations of many oceanographers. How could something so big and powerful remain unseen for so long—or be less understood than dinosaurs, which died out millions of years ago? The search for a living specimen has inspired a fevered competition. For decades, teams of scientists have prowled the high seas in the hope of glimpsing one. These “squid squads” have in recent years invested millions of dollars and deployed scores of submarines and underwater cameras, in a struggle to be first.

Steve O’Shea, a marine biologist from New Zealand, is one of the hunters—but his approach is radically different. He is not trying to find a mature giant squid; rather, he is scouring the ocean for a baby, called a paralarva, which he can grow in captivity. A paralarva is often the size of a cricket.
“Squid, you see, hatch thousands of babies,” O’Shea told me recently, when I called him at his office at the Earth and Oceanic Sciences Research Institute, at the Auckland University of Technology. “Most of these will get eaten up by larger predators, but during periods of spawning the sea should be filled with an absolutely fantastic amount of these miniature organisms. And, unlike the adults, they shouldn’t be able to dart away as easily.”

Rival hunters once viewed his plan skeptically: if no one could find the animal when it was sixty feet long, how could anyone discover it when it was barely an eighth of an inch? Lately, though, many have come to see O’Shea’s strategy as a potential breakthrough. “It offers several advantages,” Clyde Roper, an American who is perhaps the world’s foremost expert on squid, told me. Roper is a giant-squid hunter himself, who once descended underwater in a steel cage, in search of his quarry. “First, you could find the juvenile at shallower depths. That makes it a lot easier to catch. Furthermore, there are more of them around, because at that stage, even though mortality is high, the adult female will release up to four million eggs. That’s a hell of a lot of baby giant squid running around.” He added, “It’s a matter of a numbers game, pure and simple.”

In 1999, O’Shea studied what few had ever seen—the co**se of a baby Architeuthis, which was discovered off New Zealand. He described its curious morphology: two eyes spread disconcertingly far apart; a parrot-like mouth concealing a raspy, serrated tongue; eight arms extending outward from a torpedo-shaped head. Each elastic limb was lined with hundreds of suckers, ringed with sharp teeth. The skin was iridescent, and filled with chromatophores—groups of pigment cells—that allowed it to change colors. A funnel near its head could shoot out clouds of black ink. The specimen also had two extraordinary-looking clubbed tentacles. (When a giant squid is mature, they can stretch up to thirty feet.)

Armed with this rare expertise, O’Shea has spent the last five years mapping out where to find a baby giant squid and puzzling over how to catch one and grow it in a tank. This year, he told me, he would venture out during the summer nights of the Southern Hemisphere, when giant squid released their babies. “Come on down, mate,” he said. “We’ll see if we can’t find the bloody thing and make history.”

The bodies of dead giant squid have been found in nearly every ocean: in the Pacific, near California; in the Atlantic, off the coasts of Newfoundland and Norway; and in the Indian, south of South Africa. But no place is considered better for hunting giant squid than the waters around New Zealand. It is here that currents from the tropics and Antarctica converge, and the resulting diversity of marine life creates an abundance of plankton for squid to feed on. And it is here that, in recent years, more dead giant squid have been recovered than anywhere else.

I arrived in Auckland on a morning in late February, and O’Shea greeted me at the airport. He looked much younger than his age, thirty-eight. He wore khaki pants and a khaki-colored shirt, a uniform that evoked a safari ranger. He is small and trim, and has brown hair, which was sticking up as if he had just run his fingers through it. Peering through spectacles that made his eyes seem abnormally large, he confessed with some embarrassment that he had come for me the previous day. “I’ve been preoccupied with everything that’s happening,” he said.

He spoke in a soft yet intense murmur, and whenever I addressed him he would turn his head sideways, so that I was talking directly into his right ear. (Later, he told me that he had damaged his left ear in a diving accident.) He reached into his wallet and pulled out his business card; beside his name was a picture of an iridescent squid. While I was looking at it, he grabbed one of my bags and hurried to his truck, which, as soon as he opened the driver’s door, exhaled a strange, pungent odor. “I do apologize,” he said, as he rolled down the windows. “You’ll find that everything around me smells of dead squid and ciggies.” In the back seat was a metal pole that was three feet long, with a net on the end. I soon discovered that he carried it with him wherever he went, often slung over his shoulder, as if he were a butterfly hunter.

Over the next few days, we began making preparations for our maiden voyage. At one point, we were speeding down the highway, heading to the store for supplies, when he slammed on the brakes and reversed, in the middle of traffic. “I almost forgot,” he said, parking in a lot that overlooked a harbor. He leaped out with the net and darted down a wharf, a lit cigarette dangling from his mouth. He leaned over the edge, the winds buffeting his face, and held the net high over his head. For a moment, he didn’t move or breathe. “There,” he said, and lunged with the net, slashing at the water. As he pulled the net in, his pant legs wet with spray, I glimpsed a dozen silvery sprat—a minnow-like fish—dancing in the mesh. “I know I look a bit like a bugger,” he said. “But these things are rather important.”

After he flung the net into the water several more times (“Believe it or not, there is a technique to this,” he said), he returned to his truck and tossed the sprat into a white bucket in the back seat. We travelled farther down the road, the sprat jostling behind us, and eventually stopped at an aquarium called Kelly Tarlton’s Antarctic Encounter and Underwater World. (In its brochures, O’Shea was hailed as the “world-renowned squid man.”)

He grabbed the bucket, and we headed inside. “This is where I keep them,” he told me. He led me into a damp room with fluorescent lights, in which there was a round glass tank; inside, darting from side to side, were seventy baby squid, each an inch long. O’Shea explained that these squid, which are found in coastal areas, were a smaller species than Architeuthis. “Look at them,” he said. “They’re bloody marvellous, aren’t they?”

O’Shea is one of the few people in the world who have succeeded in keeping not only coastal but also deep-sea squid alive in captivity. Unlike an octopus, which, as he put it, “you can’t kill, no matter how hard you try,” a squid is highly sensitive to its environment. Accustomed to living in a borderless realm, a squid reacts poorly when placed in a tank, and will often plunge, kamikaze-style, into the walls, or cannibalize other squid.

In 2001, during a monthlong expedition at sea, O’Shea caught a cluster of paralarval giant squid in his nets, but by the time he reached the docks all of them had died. He was so distraught that he climbed into the tank, in tears, and retrieved the co**ses himself. “I had spent every day, every hour, trying to find the paralarvae, and then they died in my grasp,” he told me. For two years, he was so stricken by his failure that he refused to mount another expedition. “I knew if I failed again I would be finished,” he recalled. “Not just scientifically but physically and emotionally.”

He couldn’t stop wondering, though, about what had happened in the tank. His wife, Shoba, a computer scientist who was born in India, told me that sometimes in the middle of an unrelated conversation he would suddenly say, “What did I do wrong?” O’Shea became determined to correct what he called “my fatal mistake,” and began a series of painstaking experiments on other species of juvenile deep-sea squid. He would subtly alter the conditions of captivity: tank size, intensity of light, oxygen levels, salinity. He discovered that the tank in which he had stored his paralarvae during the expedition had two lethal flaws: it had a rectangular shape, which, for some reason, caused the squid to sink to the bottom and die; and its walls were made of polyethylene, a plastic compound that, it turns out, is toxic to deep-sea squid. “Knowing what I know now, I feel like a fool,” he said. “It was like walking them to their execution.”

In the mid-nineteen-seventies, Clyde Roper managed to keep ocean-dwelling squid alive for fourteen days—then a record. O’Shea, using cylindrical tanks made of acrylic, had kept his latest coastal specimens alive for eighty days. Earlier, he had maintained a batch of deep-sea squid for more than seventy days, which he then returned to the wild, satisfied that his experiment was a success.

He held up his white bucket. “Watch this,” he said, and dumped the sprat into the tank. Though the fish were bigger than the squid, the squid shot toward them, with their arms curved over their heads, hiding their tentacles; they looked metallic, except for their bulging green eyes. Then the squids’ arms sprang open, and their tentacles exploded outward, lashing their prey. The fish squirmed to break free, but the squid engulfed them in a web of arms. They drew their frantic prey into their beaks, and the squids’ stomachs turned bright red as they filled with the blood of the fish. Staring into the tank, I imagined what a full-grown giant squid might look like swallowing its prey.

When the squid finished eating, O’Shea said, “If I can keep these squid alive, there’s no reason I can’t keep the giant alive. I’ll just need a bigger tank.”

He was nervous about what would happen to his squid during our expedition—he had left the animals alone for only one day, on Christmas—and he anxiously arranged with an employee at the aquarium to care for them in his absence. “You need to treat them with reverence,” he said.

We then headed to his university office, where he had to gather various things for the expedition. It was in an attic-like space, and seemed entirely devoted to what he described as his “lunatic obsession.” Pasted to the walls and stacked on tables were pictures, many of which he had sketched himself, of giant squid, colossal squid, broad squid, warty squid, leopard squid. In addition, there were squid toys, squid key chains, squid journals, squid movies, and squid-related newspaper clippings (“warning! giant flying squid attacking vessels off australia”). On the floor were dozens of glass jars filled with dead squid that had been preserved in alcohol, their eyes and tentacles pressing against the glass.

Many squid scientists wait for decades before getting their hands on the remains of an Architeuthis. O’Shea, however, has developed a large network of fishermen informants, and in the last seven years has collected a hundred and seventeen co**ses. Together, these specimens offer a clearer picture of the giant squid. O’Shea has concluded that although the animals could be as heavy as a thousand pounds, most weigh between a hundred and four hundred pounds. (Females are typically heavier than males.) His squid collection also provided some of the first clues about the animal’s diet. In an article recently published in the New Zealand Journal of Zoology, O’Shea documented the “gut contents” of his specimens, which included arrow squid and chunks of another Architeuthis (“proof of cannibalism”).

In another recent experiment, O’Shea dissected a squid’s statolith: a bonelike particle in the animal’s ear that helps the animal balance itself. A statolith builds up rings of calcium deposits over time, he explained, and, like the rings on tree trunks, the layers of bone might help scientists determine a squid’s age and growth rate.

Initially, O’Shea told me, he had thought that he would dissect his co**ses in his office. But, after he made an incision in one, the specimen released a noxious odor, a mixture of rotting flesh and ammonium (which keeps the animal buoyant in the water). Students and faculty fled the building, and he was soon forbidden to make further dissections there. “I became quite unpopular after that,” he said.

He began to pick up various jars. “Oh, here it is,” he said, holding up what appeared to be a stem of tiny grapes.

“What is it?” I asked.

“The eggs from the o***y of a giant squid. I have a freezer full of ’em.”

The phone rang. He stared at it without moving. “They’ll only want something,” he said.

He stuck a pair of tweezers inside the jar, pulled out a strand of eggs, and placed it under a microscope. “Go ahead, mate, take a look,” he said. When I looked into the eyepiece, I could see at least a hundred eggs, each no more than two millimetres wide. O’Shea said that he planned to attach the eggs, which may produce pheromones, to an underwater camera, in the hope of luring a giant squid close enough to be captured on film.

He sat at his computer, typed for a few minutes, then stopped abruptly and ran out of the office. He returned moments later, carrying two hula hoops. “We’re almost ready,” he said.

The phone rang again. “Oh, bloody hell,” he said, and let it ring. He picked up another jar, this one containing two black shells that appeared to lock together. “It’s the beak of a giant squid,” he said. I ran my finger along its sharp edge, which pricked my skin. He said he had found it inside the stomach of a s***m whale.

He began to race around again, and before long his arms were filled with a box of specimen jars, the hula hoops, a net, a hammer, a rope, a worn leather briefcase that was only half buckled, and several rolled-up maps. “O.K., I think we’re about ready,” he said. “I just need a smoke, and we’ll be off.”

For months, he had been carefully working out our destination, studying squid migration patterns as well as satellite readings of water currents and temperatures. His plan was to go south, where he had found the paralarvae before. At the last minute, however, he changed his mind. “We’re going north,” he said. As we got back in his truck, he added, “I should warn you, there’s a bit of a cyclone coming our way.”

God’s NumberMathematicians love the Rubik’s Cube. There’s no denying it. They are amazed at how such a seemingly simply ...
15/01/2023

God’s Number
Mathematicians love the Rubik’s Cube. There’s no denying it. They are amazed at how such a seemingly simply puzzle can hold so many secrets. There is always something new to learn about the cube (if you are willing to learn, of course). Perhaps the biggest secret of all, one that took over 30 years for mathematicians to crack is God’s Number.

God’s Number, as many cube enthusiasts will already know, is the maximum number of moves required to solve any of the 43,252,003,274,489,856,000 combinations of the cube. It has been proven that this number is 20 (cube20.org), however the discovery is fairly recent (July 2010). The term “God’s Number” was coined because the mind of a being able to find the shortest sequence of moves to solve any scramble sequence would have to be thousands of times more powerful than our own, able to test millions of different combinations in the blink of an eye, something that mathematicians believe only a Deity could possess.

This number may seem low, but theoretically it should be even lower. Only around 490,000,000 combinations require the full 20 moves to be solved. Although 490 million is a huge number, it is only a fraction of the 43 quintillion possible combinations (0.0000011328955% to be precise). The chances of generating a random scramble that can only be solved in 20 moves, no more no less, is around 1 in a billion. However, the number of combinations that can be solved in 19 moves is approximately 1.5 quintillion. This means that God’s Number is much closer to 19 than 20, but unfortunately even if only 1 scramble sequence was impossible to solve in less than 20 moves, God’s Number would still be 20.

The Super-Flip
Superflip scramblePerhaps the most famous of the rare scrambles that require exactly 20 moves to solve is the super-flip position (pictured). This is achieved by performing the following sequence of moves - R L U2 F U’ D F2 R2 B2 L U2 F’ B’ U R2 D F2 U R2 U from any orientation. The position is recognisable as every single corner is solved in its place, while every single edge is flipped in its place. This was also the first position that was found that could not be solve in less than 20 moves, raising the lower bound of God’s Number to 20 in 1995.
History of God's Number
Work began on the search for God’s Number back in 1981, when a man named Morwen Thistlewaite proved using a complex algorithm he devised himself that 52 moves was enough to solve any of the 43 quintillion different scrambles. This number began to fall slowly as better, more efficient methods were devised for solving the huge number of possible combinations in the fewest moves possible.
Of course, not all 43 quintillion combinations were tested individually by computers. Many ingenious patterns were spotted to reduce this number to a fraction of its original quantity. For example, if you were to perform the super-flip algorithm on a Rubik’s Cube and rotate the entire cube by 180 degrees, you would have theoretically created another of the 43 quintillion combinations without increasing the number of moves required to solve it. The reason for this is because 43 quintillion is the number of positions, not the number of completely unique patterns. If you were to hold the white face on the top and the green face on the front, that would be one position. If you were to rotate the puzzle so you are still holding the white face on the top but instead you had the red face on the front, you would have another position. Therefore, by multiplying the number of different possible “top faces” (6, one for each colour) by the number of different possible “front faces” for each different “top face” (4), you would be left with 24 different ways to position the cube for any given state. This automatically reduces the enormous number of 43 quintillion possible positions that would actually need to be tested to 1,802,166,800,000,000,000 (a mere 4% of the original number). By factoring in other similarities such as mirrors, this number reduces further, making God’s Number much easier to calculate.
God’s Number can also be implemented for other twisty puzzles, such as using an original Rubik’s Cube with certain restraints, or using smaller or bigger puzzles. God’s Number for a Rubik’s Cube solved using only quarter turns (where no face can be rotated more than 90 degrees at a time either clockwise or anticlockwise) has been proven much more recently (2014) to be 26 moves.

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