Talk:Trilinear coordinates

Notation
Please describe the colon notation before giving examples. It would make the exposition less confusing. 70.250.184.201 (talk) 20:00, 30 August 2009 (UTC)

Possible mistakes
I am really no expert, but I think the formula for midpoint is simply wrong. It states that the midpoint between $$x_1:y_1:z_1$$ and $$x_2:y_2:z_2$$ is $$x_1+x_2:y_1+y_2:z_1+z_2$$. But then, the middle point between $$1:0:0$$ and $$0:1:1$$ could be, on one hand, $$1:1:1$$. But if we express the first point as $$2:0:0$$, it would be $$2:1:1$$, which is a different point. — Preceding unsigned comment added by Zeycus (talk • contribs) 16:43, 4 January 2015 (UTC)


 * Thanks, you're right. The source gives this formula, but it's clearly a mistake since it just replicates the source's (presumably correct) formula of barycentric coordinates. Since I can't tell what the source meant to say, I'll remove mention of it from this article. Loraof (talk) 20:33, 25 June 2015 (UTC)

Abbreviated name
The article claimed "often" the full name is abbreviated to "trilinears". It is more like a nickname than a correct formal name. I can see it's being used in an extensive discussion in a textbook or research article, but I think it is inappropriate for an encyclopedia article. Hence, I changed most "trilinears" to the full name, especially at the introduction of each new usage. I changed "often" to "sometimes"; in my experience a claim of "often" is "often" made without sufficient knowledge of the field; it requires good documentation. Zaslav (talk) 00:35, 26 June 2018 (UTC)

regular triangle trilinear coordinates?
Regular triangle trilinear coordinates (a type of synergetics coordinates) should also/especially be shown. .--dchmelik (t|c) 12:46, 15 July 2022 (UTC).


 * This article is about a particular thing, not about any coordinate system vaguely associated with triangles. A triangular grid is not a coordinate system, and certainly not a trilinear coordinate system in the sense of this article. --JBL (talk) 17:43, 16 July 2022 (UTC)


 * Actually it is; read this article's 'external links: MathWorld: Trilinear Coordinates' which shows coordinates not only inside a triangle, but outside, and grid (spatial index)/regular grid state such grids are coordinate systems as well as articles showing other such systems.--dchmelik (t|c) 14:29, 17 July 2022 (UTC).\


 * A grid is not a coordinate system. --JBL (talk) 17:11, 17 July 2022 (UTC)


 * Some are--including this--inherently in the Platonic ideal form.--dchmelik (t|c) 04:58, 19 July 2022 (UTC)
 * No, no grid is a coordinate system without additional information. The triangular grid in particular is not related to the coordinate systems that this article is about. JBL (talk) 17:58, 19 July 2022 (UTC)