There Are Magic Hexagons of Every Order
There Are Magic Hexagons of Every Order Aug 2, 2026 What is so special about the number 19? The question came up last month in a conversation among YSDA alumni, when the school turned 19. Someone else replied that 19 is the number of cells in the only non-trivial normal magic hexagon.
- ▪There Are Magic Hexagons of Every Order Aug 2, 2026 What is so special about the number 19?
- ▪The question came up last month in a conversation among YSDA alumni, when the school turned 19.
- ▪Someone else replied that 19 is the number of cells in the only non-trivial normal magic hexagon.
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| Original publisher | gukov.dev |
| Canonical URL | https://gukov.dev/math/2026/08/02/new-magic-hexagons.html |
| Publication time | Sun, 09 Aug 2026 07:19:58 +0000 |
| Retrieval time | 2026-08-09T10:10:44.903Z |
| Last seen | 2026-08-09T10:10:44.903Z |
| Headline source | Publisher (no WeSearch rewrite) |
| Excerpt source | publisher body |
| Excerpt method | First ~120 words (~800 chars) of extracted publisher body, fair-use limited. |
| Summary | WeSearch · cerebras-chat (WeSearch summarizer) |
| Summary source text | contentText |
| Citation coverage | Summary is a WeSearch-generated derivative; primary citation is the original publisher URL. |
| Cluster | xuDQYMSBjece · 1 stories |
| Cluster logic | Grouped by semantic title/content similarity across sources within a rolling window. Same-publisher template collisions are excluded from coverage comparison. |
| Ranking reason | Story pages are not engagement-ranked. Hub feeds use recency, with optional source-diversified chronological ordering (cap consecutive stories per source). No personalized ranking. |
| Publisher visit | Yes — open original |
| Substitutes article? | No — link-out required for full text |
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| Indexing | May the item be indexed (stored, ranked, made findable)? | Allowed |
| Snippet | May a short excerpt of the publisher's text be shown? | Allowed |
| AI summary | May WeSearch generate its own short summary of the article? | Limited |
| Retrieval / RAG | May the content be exposed for third-party retrieval-augmented generation? | Not asserted |
| Model training | May the content be used to train AI models? | Not asserted |
| Commercial reuse | May the content be reused commercially? | Not permitted |
Basis: Derived from the published RSS/Atom feed. Contact: [email protected]. Reviewed: 2026-07-24.
Opening excerpt (first ~120 words) tap to expand
There Are Magic Hexagons of Every Order Aug 2, 2026 What is so special about the number 19? The question came up last month in a conversation among YSDA alumni, when the school turned 19. Someone pointed out that 19 is a twin prime. Someone else replied that 19 is the number of cells in the only non-trivial normal magic hexagon. Wait, what is a “magic hexagon”? Let us start there. A note on AI-assisted mathematics Recently, we have heard a lot about AI miraculously proving and disproving long-standing conjectures, often without much explanation of how it was done. This story offers a look inside the process of making such a mathematical discovery. Magic Squares and Magic Hexagons You probably know about magic squares.
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Excerpt limited to ~120 words for fair-use compliance. The full article is at gukov.dev.
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