The Hurwitz Singularity, an anamorphic sculpture by artist Jonty Hurwitz, began with a scan of the artist’s own head.

“I wanted to capture my physical being in as much detail as technology allowed,” he writes. “It felt appropriate to be able to analyse myself at the highest resolution that modern science could record spacetime.”

“This sculpture evolved when I was deep in Freudian Therapy. Four days a week on the sofa blazing new trails from the road that Sigmund Freud first mapped. To my analyst I dedicate this piece. Dr Sanchez Bernal this is the Hurwitz Singularity!”

There’s more at the artist’s website.

Anthony Gormley’s 1999 sculpture Quantum Cloud is well named — it both does and doesn’t present the figure of a man. It’s composed of sections of steel 1.5 meters long, arranged by a computer using a random walk algorithm starting from points on the surface of an enlarged version of the sculptor’s own body. The result manages to suggest a man’s image without quite depicting it.

“How can you convey the fact that the presence of somebody is greater or different from their appearance?” Gormley writes. “The DOMAINS allowed me to evoke the internal space of the body as a field, but are still bound by an invisible skin: I want to extend or ignore the skin.”

It stands now next to the O2 in London.

Dodgers outfielder Gary Thomasson was a big disappointment in Japan — in 1980 he was signed to the Yomiuri Giants for a record-breaking sum, then nearly set a record for strikeouts before injuring his knee and retiring.

Artist Akasegawa Genpei took a strange inspiration from this: He defined a “Thomasson” as “an object, part of a building, that was maintained in good condition, but with no purpose, to the point of becoming a work of art.” For example, in Tokyo he’d noticed a well-maintained stairway with a blank wall at its top, and a ticket window that had been boarded up but whose tray had been assiduously permitted still to function.

Akasegawa’s colleague Chikuma Shobo eventually published a whole taxonomy of Thomassons: useless doorways, useless staircases, useless windows, doors to nowhere, senseless signs. Just like art, these items have no purpose in society, but they’re preserved with care, to the point that they seem to be exhibits in themselves. “However, these objects do not appear to have a creator, making them even more art-like than regular art.”

Artist François Abelanet created this perspective-based illusion outside the city hall in Paris in 2011. Ninety gardeners worked for five days to prepare an area of 1500 square meters.

Abelanet called it Qui croire? (Who to Believe?).

In 1987 Marinus Boezem planted 178 Lombardy poplars on a knoll near Almere in the Dutch province of Flevoland.

Now grown to maturity, the trees form a living replica of the Cathedral of Notre-Dame in Reims, France, 150 meters long, 75 meters wide, and 30 meters tall.

The current “Groene Kathedraal” hosts weddings, funerals, and religious services, but Boezem is already planning for the future — a second clearing is being prepared nearby so that as the poplars decline a cathedral of beeches will take its place, and the two will alternate in an endless cycle thereafter.

Italian Futurist Renato Bertelli produced this “Continuous Profile of Mussolini” in 1933, eight years after its subject became dictator of Italy. Surprisingly, Mussolini approved it as an official portrait. Not only did it present him as a cultural pioneer, he thought, but it appealed to his respect for Roman traditions: Where Janus had two faces, to look into the past and the future, Il Duce’s had an infinite number, to see in all directions.

In 2008, Syracuse University art professor Sam Van Aken acquired the three-acre orchard at the New York State Agricultural Experiment Station, which was closing due to funding cuts. Over the next five years he grafted together buds from 250 varieties grown there, creating in the end a single tree with 40 different branches, each bearing a different kind of fruit, including almonds, apricots, cherries, nectarines, peaches, and plums. He’s since gone on to produce 16 such trees.

“I’ve been told by people that have [a tree] at their home that it provides the perfect amount and perfect variety of fruit,” he said. “So rather than having one variety that produces more than you know what to do with, it provides good amounts of each of the 40 varieties. Since all of these fruit ripen at different times, from July through October, you also aren’t inundated.”

Oh, and they also bloom in pink, crimson and white in the spring. Here’s Van Aken’s website.

Chinese artist Liu Bolin is hiding in this photograph. Can you find him?