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)[reply]

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)[reply]

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)[reply]

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)[reply]

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).[reply]

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)[reply]

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).\[reply]

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

Some are--including this--inherently in the Platonic ideal form.--dchmelik (t|c) 04:58, 19 July 2022 (UTC)[reply]

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)[reply]