Fitting the parameters of a Besace curve like the Meta logo
The article discusses the relationship between the Meta logo and Besace curves. It explains how to determine the parameters that fit the curve to resemble the logo. The author suggests that while the logo may be inspired by a Besace curve, it is not an exact match.
- ▪The Meta logo is suggested to be a Besace curve.
- ▪Parameters a and b can be estimated to fit the curve.
- ▪The estimated height and width of the curve are h = 120 and w = 200.
Hacker News (Newest) files mainly under programming. We currently carry 5,306 of its stories.
Story provenance
Source · retrieval · rights · ranking — open for full record
inspect →
Story provenance
Attribution is not the same as permission. This drawer separates discovery metadata, excerpts, WeSearch-generated summaries, reuse status, and whether the publisher receives the visit. Nothing here claims a legal grant the publisher has not made.
Record
| Original publisher | John D. Cook | Applied Mathematics Consulting |
| Canonical URL | https://www.johndcook.com/blog/2026/05/27/the-meta-logo-and-fitting-besace-curves/ |
| Publication time | Thu, 28 May 2026 01:32:37 +0000 |
| Retrieval time | 2026-05-28T01:58:06.865Z |
| Last seen | 2026-05-28T01:58:06.865Z |
| 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 | QnTjuURX7fOp |
| 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 |
Rights status (four layers)
WeSearch handling by dimension
| 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
The Meta logo and fitting Besace curves Posted on 27 May 2026 by John I saw a post yesterday saying that the Meta logo is a Besace curve. A Besace curve has the implicit form and the parametric form where t ranges over [0, 2π]. So given a Besace curve, such as the Meta logo, how do you find the parameters a and b to fit the curve? We can rewrite the parametric expression for x as a sine with a phase shift (see notes here) where Also, we can rewrite the parametric expression for y as Now the extreme values of x and y are easier to see. The maximum value of x is A and the minimum value is −A. The maximum value of y is A(cos(φ) + 1)/2 and the minimum value is A(cos(φ) − 1)/2. W#e can simplify the cosine of an artangent (see here) to find the height, i.e.
…
Excerpt limited to ~120 words for fair-use compliance. The full article is at John D. Cook | Applied Mathematics Consulting.
Discussion
0 comments
