May 21, 2026 · Thursday

OpenAI Model Cracks Plane Unit Distance Problem, Ends 80-Year Math Conjecture

An internal general-purpose model overturned the traditional optimal-solution construction for a combinatorial geometry problem posed by Paul Erdős in 1946, marking a major theoretical milestone for AI in mathematics.

For nearly 80 years, mathematicians believed the best possible solutions to the planar unit distance problem looked roughly like square grids. An OpenAI model has now disproved that assumption, finding a construction that beats the long-standing conjectured optimum. The result was announced as a breakthrough by the OpenAI research team, with Sam Altman calling it a milestone moment for general-purpose models solving major open problems in mathematics. The planar unit distance problem, first posed by Paul Erdős in 1946, asks for the maximum number of times a given distance can occur among n points in the plane. It has been one of the most famous open questions in combinatorial geometry. The discovery signals a new era where AI systems can contribute to fundamental theoretical research, extending human understanding of mathematical structures that have resisted resolution for decades.

June 2024: LLMs could not count the r's in strawberry. July 2025: LLMs win gold in the International Math Olympiad. May 2026: A general-purpose LLM solves one of the best-known questions in combinatorial geometry.

— Ethan Mollick, on the stunning trajectory of AI capability
Research & PapersMay 21
Industry & ProductsMay 21
REVIEW

Simon Willison on Google I/O: Gemini Spark and Antigravity Framework

Simon insists on writing only about shipped products, noting Gemini Spark is a personal AI agent powered by Gemini 3.5 Flash and the Antigravity framework, which includes desktop, CLI, SDK, and IDE components.

OPINION

Aohan Calls for Turing Award for Test-Time Inference Scaling Pioneers

Researchers argue that the test-time scaling paradigm combining RL with system optimization has kept the AI field advancing, and pioneers in this area deserve recognition.

COMMUNITY

Lewis Tunstall Summarizes Open Source Progress in Long-Horizon RL

Slides from the talk summarize current trends in the open source community on long-horizon agent tasks and RL training environment design.

PRODUCT

AI Studio Update: Google Docs/Sheets Data Integration Plus Built-in Android Emulator

AI Studio can now pull data directly from Google Docs and Sheets, and supports developing Android apps in the browser with a built-in emulator.

PRODUCT

Google I/O Coding: Antigravity Ecosystem Upgraded to 2.0 with CLI and SDK

Gemini CLI is renamed to Antigravity CLI with a corresponding SDK release. The updated Antigravity desktop app offers a Codex-like experience for developers.

PARTNERSHIP

Adobe Partners with Google DeepMind to Integrate AI Creation into Gemini

Adobe will open its professional creation tools to mass users through Gemini, supporting image and video generation for hundreds of millions of users.

BENCHMARK

Qwen 3.7-Max Leads CritPt, Surpassing Gemini 3.5 Flash and Opus 4.7

Comparisons show Qwen 3.7-Max achieves the highest CritPt score among models, with a nearly 4x generational improvement, the largest leap ever observed.

PRODUCT

Gemini Omni Model Lets Users Build Stories via Natural Language

Google DeepMind demonstrated Gemini Omni's creative storytelling ability, allowing users to generate coherent visual narratives through natural language descriptions.

Product Updates & ToolsMay 21
EVENT

OpenAI Invites Developers to Showcase Real-Time Voice Model Apps on May 27

A demo showcase in San Francisco calling for innovative prototypes and products using the latest voice models, with top projects receiving presentation opportunities.

PRODUCT

Codex Mobile Supports Cross-Device Conversation Continuation

The Codex feature in ChatGPT's mobile app now allows users to answer questions on the go and seamlessly continue the same coding session when returning to their computer.

PRODUCT

MiniMax 600+ Voice Models Now Available on Together AI Platform

Over 600 new voices powered by MiniMax Speech 2.8 Turbo are now accessible through the Together AI inference platform for developers.

TOOL

Midjourney V8.1 Adds Anti-Prompt --no Flag for Element Exclusion

In response to community requests, the --no parameter is restored in V8.1, allowing users to exclude specific elements such as people from generated images.

TUTORIAL

Vidu Launches 100 AI Director Technique Tutorials with Start and End Frames

A series of tutorials covering classic camera language including Dolly Zoom, Whip Pan, and Crane Out as applied to AI video generation workflows.

TECHNIQUE

PixVerse Shows AI Video Consistency: Character Storyboard as Reference

A 15-second cooking short film demonstrates using a fixed character storyboard as a reference for AI video generation, ensuring visual and camera continuity throughout.

COMMUNITY

NVIDIA and Google Cloud Developer Community Surpasses 100K Members

The joint developer community reached 100,000 members in one year, producing RAG applications on GKE and multi-agent pipelines across various industries.

EVENT

Runway AI Festival: New York June 11, Los Angeles June 18

Celebrating the best work made with AI across film, design, new media, fashion, advertising, and gaming at two major US venues.

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