Today, we share a breakthrough on the planar unit distance problem, a famous open question first posed by Paul Erdős in 1946.

For nearly 80 years, mathematicians believed the best possible solutions looked roughly like square grids.

An OpenAI model has now disproved that belief, discovering an entirely new family of constructions that performs better.

This marks the first time AI has autonomously solved a prominent open problem central to a field of mathematics.

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Math grad student friend comments on the recent Erdős proof

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Malachy Steenson got thousands of people on the streets to protest against Ireland’s population replacement of migrants from all over the world.

Vote Malachy Steenson 1 in Dublin Central on May 22

MalachySteenson

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Woman blows through a stop sign in her white SUV. Dude calls her out and she immediately jumps out screaming, then shoots the back window of his car before speeding off

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In Colombia, two tourists, a father and his son, were abducted in broad daylight on a beach in Buenaventura by armed members of the “Los Shottas” cartel.

44-year-old Alexander Valencia Hernández and his 22-year-old son Nicolás were intercepted after the son accidentally entered a cartel-controlled “forbidden zone” while filming their fishing trip. When the father tried to defend his son, both were taken.

Hours later, authorities found Alexander’s body floating in a tidal area. His son Nicolás is still missing.

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>Be so fat you have to be kept under house arrest and constant supervision.

>Somehow manage to escape.

>Start eating food from a dumpster behind a supermarket.

>Eat so much spoiled food you die.

Why are fats like this?

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NOW - Former New Zealand PM says misinformation is reducing vaccine uptake, cites GAVI, that found over 1 in 4 top vaccine-related facebook videos, about Pakistan's HPV vaccine rollout, contained 27% misinformation and that the comments were 40% negative and 17% supportive

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"Big, bad, black b&tch" almost gets arrested in Japan. Documents herself breaking at least two laws

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A controversial game called Plantation Simulator has been released on Steam and is receiving huge backlash from people calling it a slavery simulator.

The game is described on Steam as a simple farming simulator where players motivate workers to work on a plantation.

But the gameplay centers on a whipping mechanic applied to Black workers to increase productivity.

The developer has described it as:

“In this game, you will be whipping black people to keep your farm productive. If you whip your black person too much, they will die.”

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A Japanese man named Hirotaka Saito has gone viral after selling his Ferrari to fund a shelter for abused and traumatized dogs.

The 54-year-old former company executive closed his business to dedicate his life to the Wansfree Canine Rescue Centre in Yaizu, Shizuoka Prefecture. The shelter specializes in caring for dogs that have suffered severe abuse, animals so traumatized that they are often aggressive, fearful, and considered nearly unadoptable by most people.

Saito’s decision was deeply personal. Twelve years ago, after his company collapsed, he fell into deep depression and contemplated suicide. On the brink of leaving the house to end his life, his own dog physically stopped him from going. Saito credits that moment with saving his life.

Inspired by the unconditional love and support he received from his dog during his darkest time, he resolved to repay that debt by helping other dogs in need. Selling his prized Ferrari was his way of turning gratitude into meaningful action.

This heartwarming story beautifully illustrates the profound bond between humans and dogs — and how one man’s act of kindness, born from personal pain, is now giving dozens of abused animals a second chance at life.

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