They are basically already sweaters. Not just because they’re mostly wool, with that ludicrous shag frothing out of their nonphysiques; it’s their total passivity, the way they allow themselves to be handled or arranged on a table, just so, like those sea creatures that, incapable of self-propulsion, get joggled along by the tides. Ask about Angora rabbits, and a word you hear a lot is “docile.” “They’re generally a pretty mellow rabbit,” says one Angora fancier. I heard about one that supposedly fell out of its cage overnight, landed on the back of a dog and stayed there until morning.

People who raise purebred Angoras for show — who spend time coddling the rabbits and poring over their pedigrees, and who give them names like Alfredo, Chunk, Silvertone’s Marvelous, Hagrid and Shamwow — swear that, beneath this universal torpor, Angoras have distinct personalities. Asked to elaborate, a young breeder in Pennsylvania named Ashley Shaw explained that one of her Angoras likes to sit very still on her lap, while another, named Surprise, likes to flop over on its side and lie there. “She looks like she’s dead, but she’s not,” Shaw said. Cheryl Eng-Link, a veteran judge on the show-rabbit circuit, told me: “I’ve never had a vicious Angora.”

The magazine sent the artist Andres Serrano to photograph Angora rabbits at a National Angora Show, the Westminster for Angoras, held in a pole barn in Palmyra, N.Y. (“The rabbits were good subjects,” Serrano reported back. “They didn’t move much. They’re professionals.”) Serrano had never seen an Angora before and found the animals to be “festive and surreal” — figments of some through-the-looking-glass evolutionary imagination. The rabbit breeders, meanwhile, were similarly fascinated by Serrano, a stylish New Yorker who rolled in with a small entourage. “He’s a cosmopolitan man!” says Joan Hastings, president of the National Angora Rabbit Breeders Club. “People don’t show up normally in slinky $300 shoes!” That is, every living thing inside the pole barn that day seemed, just by being itself, to make the atmosphere feel otherworldly to another living thing. “The pictures that came out of it are a reflection of that,” Serrano says. “I felt like I was in an alien country.”

At rabbit shows, Angoras compete within their four recognized breeds — English, French, satin and giant — and are further classed by color, age and sex. A judge scrupulously inspects each rabbit, stroking and kneading it, flipping it over on the judging table, comparing its characteristics to the ideal described by the American Rabbit Breeders Association’s “Standard of Perfection.” These include length, size and body type (ideally, for an English Angora, “between a cantaloupe and a basketball,” according to Eng-Link, and “nicely fleshed” — that is, not too bony); proportionality of the head and ears; density of the ear cartilage; alignment of the teeth; color of the toenails. Most important, judges examine the quality of the animal’s wool, which should be lustrous and even and “have a good hand,” as fanciers put it — plusher than plush, but also “alive,” and springy. Only in the world of competitive An­gora breeding is “cottony” a disparagement; if your bunny feels merely as soft as cotton, you’re a failure.