Talk:Winkel tripel projection

Latest comment: 7 years ago by 2A01:119F:2E9:2F00:54EE:367B:B9A4:FD69 in topic Transverse?

What does "tripel" mean, though?

It's German for "triple". – 85.119.130.132 13:59, 15 August 2006 (UTC)Reply

Tripel is a German term meaning a combination of three elements. Winkel choose the name Tripel because he had developed a compromise projection; it does not eliminate area, direction or distance distortions; rather, it tries to minimize the sum of all three AceT 11:21, 20 June 2006 (UTC)Reply


I had a question: Can someone help me with the symbols & structure of the formulas?
I found the answer, so it looks to me only fair to share it with you all:

The formulas:
α = arccos (cos φ cos (λ/2))
w = 0 if sin α = 0 otherwise w = 1 / sin α
x = R(λ cos φ0 + 2wα cos φ sin (λ/2)) / 2
y = R(φ + wα sin φ) / 2

  

Explanation symbols:
φ0 = ±arccos 2/π (+ or -, result is the same)
R = Radius ("pick a value")
λ = longitude
φ = latitude

For those who use Perl:
use Math::Trig qw(deg2rad pi acos);
sub winkel(){
  my ($cx,$cy,$Radius) = @_;
  my ($cxp, $cyp, $lat0, $wee, $alpha, $cxR, $cyR);
  $lat0 = acos(2/pi);

  $cxR=deg2rad($cx);
  $cyR=deg2rad(-$cy);

  $alpha = acos(cos($cyR)*cos($cxR/2));
  if ( sin($alpha) == 0 ) { $wee = 0 }
  else                         { $wee = 1/sin($alpha) }
  $cxp = $Radius*($cxR*cos($lat0) + 2*$wee*$alpha*cos($cyR)*sin($cxR/2)) / 2;
  $cyp = $Radius*($cyR + $wee*$alpha*sin($cyR)) / 2;

  return($cxp,$cyp);
}
(also with thanks to Jarkko Hietaniemi who worked on Math::Trig ) AceT 19:37, 10 July 2006 (UTC)Reply

Replace low-contrast images edit

 

I will be replacing images on the various map projection pages. Presently many are on a satellite composite image from NASA that, while realistic, poorly demonstrates the projections because of dark color and low contrast. I have created a stylization of the same data with much brighter water areas and a light graticule to contrast. See the thumbnail of the example from another article. Some images on some pages are acceptable but differ stylistically from most articles; I will replace these also.

The images will be high resolution and antialiased, with 15° graticules for world projections, red, translucent equator, red tropics, and blue polar circles.

Please discuss agreement or objections over here (not this page). I intend to start these replacements on 13 August. Thank you. Strebe (talk) 22:49, 6 August 2011 (UTC)Reply

Requested move edit

The following discussion is an archived discussion of the proposal. Please do not modify it. Subsequent comments should be made in a new section on the talk page. No further edits should be made to this section.

No consensus to move. Vegaswikian (talk) 01:44, 21 November 2011 (UTC)Reply

Winkel tripel projectionWinkel Tripel projection – Since Tripel is spelled with a capital in the original German, and the common English name of this projection also uses caps for both words (see eg. the definitive [1]), I propose this be moved back to Winkel Tripel projection. Objections? Jpatokal (talk) 10:14, 14 November 2011 (UTC)Reply

I do not support this move. In Winkel’s original literature, he referred to the projection as “tripel”, uncapitalized. Map projection bibliographer John P. Snyder writes it uncapitalized throughout “Flattening the Earth: 2000 Years of Map Projections”.[1] No other substantial literature exists on the topic. Strebe (talk) 20:36, 14 November 2011 (UTC)Reply
From my rudimentary German, I would expect the adjective, tripel, to be uncapitalized and the noun, projection (Vorsprung?) to be capitalized.--Wikimedes (talk) 17:45, 15 November 2011 (UTC)Reply
At least in English "triple" can be both a noun and an adjective... but this is all kind of irrelevant: article titles are governed by WP:COMMONNAME and a casual Google indicates that the vast majority of results use Winkel Tripel with caps. [2] WP and mirrors aside, I don't see any non-capsed names until page 3 of the results. Jpatokal (talk) 02:27, 17 November 2011 (UTC)Reply
WP:COMMONNAME does not govern this question since the question is not about the words in the title but about their capitalization. WP:CAPS governs this question. The notes there are distinctly hostile to excessive capitalization. Capitalization is permitted for proper nouns, which this is not properly considered one of. It is common in the map projections literature not to capitalize such terms as sinusoidal or transverse when appearing in projection names, and it is also common to capitalize them, according to the editorial style of the journal or author. If we consider pet breeds, for example, you can search on the Internet for “keeshond” or “dachshund” or “shorthair” and find a bazillion capitalized entries (including Wikipedia). But they are wrong; they were never capitalized commonly in English until Internet illiterates got a hold of them. Given that the author of the projection and the major researchers do not capitalize the term, I don’t grasp where the impetus to change it here comes from. Strebe (talk) 04:04, 17 November 2011 (UTC)Reply
The above discussion is preserved as an archive of the proposal. Please do not modify it. Subsequent comments should be made in a new section on this talk page. No further edits should be made to this section.

References

  1. ^ Snyder, John P. (1993). Flattening the Earth: Two Thousand Years of Map Projections p. 157. Chicago and London: The University of Chicago Press. ISBN 0-226-76746-9.

Winkel's other projections edit

The article says this is only one of three projections proposed by Oswald Winkel. Why is there no info on his other two projections? 164.58.171.152 (talk) 02:13, 16 November 2011 (UTC)Reply

They’ve never been used in a real map, as far as I know. Start here, maybe. Winkel I, Winkel II. This being Wikipedia, feel free to add articles or add to articles. Strebe (talk) 02:57, 16 November 2011 (UTC)Reply

File:Winkel triple projection SW.jpg edit

Hello! This is a note to let the editors of this article know that File:Winkel triple projection SW.jpg will be appearing as picture of the day on December 28, 2014. You can view and edit the POTD blurb at Template:POTD/2014-12-28. If this article needs any attention or maintenance, it would be preferable if that could be done before its appearance on the Main Page. Thanks! — Crisco 1492 (talk) 12:58, 10 December 2014 (UTC)Reply

The Winkel tripel projection is a modified azimuthal map projection proposed by Oswald Winkel in 1921. The arithmetic mean of the equirectangular projection and the Aitoff projection, it was intended as a compromise between minimizing three kinds of distortion: area, direction and distance.

The imagery used for the map is derived from NASA's Blue Marble summer months composite, with oceans lightened to enhance legibility and contrast.Map: Strebe, using Geocart

Hello again, Crisco 1492. The caption looks fine. Many thanks for the continued good work. Strebe (talk) 03:29, 11 December 2014 (UTC)Reply

Transverse? edit

How would a transverse Winkel Tripel look like? — Preceding unsigned comment added by 2A01:119F:2E9:2F00:54EE:367B:B9A4:FD69 (talk) 07:40, 21 March 2017 (UTC)Reply