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.
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.
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Excerpt limited to ~120 words for fair-use compliance. The full article is at John D. Cook | Applied Mathematics Consulting.
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