August 6, 2026
Love triangles, but make it math
The Triangle Game, from Zero
Math nerds turn a triangle puzzle into string-art obsession and commenters are into it
TLDR: The guide explains a famous triangle-colouring puzzle, including a 2026 result showing the pattern keeps growing as more colours are added. In the comments, the biggest reaction was pure delight: one reader said it looks like string art, turning intimidating math into unexpectedly charming internet bait.
A seemingly innocent math guide about colouring lines between people has somehow turned into a full-on fascination fest. The big reveal: with 16 people and 3 colours, you can still avoid making any all-one-colour triangle, but at 17, the party is over. That result has been famous since 1955, and now the guide walks readers through the bigger question: if you keep adding more colours, how much bigger can the group get before the triangle doom becomes unavoidable? The fresh twist is that a 2026 result says the growth never flatlines — a huge deal in a problem that had been stuck in “nobody really knows” territory for decades.
But let’s be honest: the real vibe comes from the peanut gallery. The standout community reaction wasn’t angry doom-posting or nitpicking — it was delighted chaos. One commenter instantly looked at the crisscrossing lines and declared it basically string art, which is both hilariously wholesome and weirdly accurate. That sparked the strongest mood in the room: people seeing a serious math problem and immediately wanting to turn it into a craft project. Not every day a deep theorem gives off “Pinterest for geniuses” energy.
So the drama here is less flame war, more beautiful nerd panic: a hard problem, a 1955 classic still holding up, a 2026 breakthrough, and commenters reacting like they just found out abstract math can double as wall decor. Honestly? Fair.
Key Points
- •The article describes a colouring game where every pair in a group is connected and coloured, and a colouring is safe if no triangle has all three edges in the same colour.
- •For three colours, a 16-person safe table exists, and Greenwood and Gleason proved in 1955 that a 17-person safe table is impossible.
- •The guide’s content, figures, and numerical checks come from an open-source repository that includes code and tests to regenerate figures and verify small examples.
- •The article focuses on how safe-group size grows as the number of available colours increases, a question for which Erdős offered prizes.
- •It states that a 2026 result showed the long-term growth rate does not level off, and the guide explains both why older methods stalled and how the final construction works.