OpenAI Sinks Teeth into 80-Year-Old Math Puzzle
A brainy riddle that’s stumped mathematicians since World War II appears to have been cracked via artificial intelligence. OpenAI says one of its AI models has solved the “unit distance problem,” a classic question in combinatorial geometry first posed by Hungarian mathematician Paul Erdős in 1946.
For decades, mathematicians have struggled to find a simple and efficient way to determine the maximum number of points that can be placed in a plane such that no four points are equidistant from each other.
The AI Model to Thank
The AI model that cracked the puzzle is a variant of OpenAI’s Evangelion, a highly advanced combinatorial optimization algorithm. Evangelion uses a technique called “probabilistic programming” to search through an enormous number of possible solutions, making it highly effective at solving complex problems.
By feeding Evangelion a vast number of random points, the AI was able to identify the optimal arrangement of points that maximized the number of unit distances between them. The solution, which has yet to be peer-reviewed, appears to be a significant breakthrough in the field.
What this means
The solution to the unit distance problem has significant implications for various areas of mathematics, including graph theory and number theory. It could also have practical applications in fields like computer science, where efficient data structures and algorithms are crucial for processing large amounts of information.
This breakthrough is also a testament to the power of AI in solving complex mathematical problems. As AI continues to improve, it’s likely to aid mathematicians in solving other long-standing puzzles and mysteries.
However, the true significance of the unit distance problem will only be fully realized once the solution is confirmed and built upon by the mathematical community.
OpenAI’s AI Model
The exact details of OpenAI’s Evangelion AI model are still under wraps, but it’s clear that this variant of the algorithm has proven to be a powerful tool in the field of combinatorial optimization.
