There Are Magic Hexagons of Every Order
- ID
- 12676
- Status
- summarized
- Published
- 09 Aug 2026, 3:19 PM
- Fetched
- 11 Aug 2026, 7:54 AM
- Provider
- Hacker News
- Category
- dev-community
- Original URL
- https://gukov.dev/math/2026/08/02/new-magic-hexagons.html
- Source URL
- https://hnrss.org/best
Summary
- Score
- 5.5
- Created
- 11 Aug 2026, 7:57 AM
- Tags
- Audience
- developersai_ml_learners
What happened
A blog post details the process of discovering abnormal magic hexagons (hexagonal grids where every line sums to the same value) of arbitrary order, a problem with no known formulaic construction. The author uses AI-assisted mathematics to find solutions beyond the previously known order n=9 found by Klaus Meffert in 2024, and walks through the human-plus-AI discovery process including observations, search space reduction, and construction.
Why it matters
For builders experimenting with AI-assisted problem-solving, this is a rare first-hand walkthrough of how to combine human mathematical intuition with AI search to crack a combinatorial problem that had no deterministic algorithm. The concrete takeaway is the methodology: making structural observations to shrink the search space before applying AI, rather than brute-forcing it.
Discussion angle
How the author's approach of using human insight to constrain the search space before letting AI loose compares to how you'd tackle hard combinatorial or optimization problems in your own work.