Talk:Rose (mathematics)

message: This seems to be quite comparable to Lissajous curves. --Abdull 18:53, 27 May 2006 (UTC)
replies: text: If the point is that a lissajous curve can specify a rose, please find the parameters for the eqivalence.  2601:140:8980:4B20:528:3DF3:2917:4EDF (talk) 01:05, 20 February 2021 (UTC)
thread_title:  Lissajous 

message: I agree. I would have suggested/done the same myself if only I could have remembered the name of the Rose (mathematics) article. —David Eppstein 05:51, 22 February 2007 (UTC)
replies: text: Definitely agree.  No reason to have two articles, especially as they are both so minimal.  Doctormatt 16:45, 22 February 2007 (UTC)

text: Agree with proposed merge. Gandalf61 17:33, 22 February 2007 (UTC)
thread_title:  Merge from/new Rhodonea article 

message: I just noticed that while the article gives the rose in terms of cosine, the pictures are all for sine.  Do we
* change the article to make sine the basic one (and relate cosine to it as a rotation)?
* change the pictures?  (Sounds like a pain.)
* change the captions on the pictures to be more specific?
VectorPosse 17:09, 4 April 2007 (UTC)
replies: text: Ack.  I'll change the images (the second one is okay).  It'll be done in a few hours, probably. Cheers, Doctormatt 20:04, 4 April 2007 (UTC)
replies: text: I updated the seven petal image and added info to the "rose gallery" image to make it clear these are r=sin k \theta.  I think this works. Cheers, Doctormatt 04:36, 5 April 2007 (UTC)
thread_title:  Pictures 

message: The right side of the Area formula suggests that the Area is independent of k!  —Preceding unsigned comment added by 91.36.95.125 (talk) 02:54, 30 December 2007 (UTC)
replies: text: The area of each petal is dependent on k.  See the article. 2601:140:8980:4B20:528:3DF3:2917:4EDF (talk) 23:58, 19 February 2021 (UTC)
thread_title:  Area 

message: In that case the curve will be dense in the unit disc, but it won't "fill" it completely. To see this, just imagine a circle around the origin or a straight line that crosses the unit disc. The rose will cross or touch this line/circle just countably inifinite times, but there are more than countably infinite points the rose would have to hit in order to fill the entire disc. --Georg-Johann (talk) 18:00, 4 September 2010 (UTC)
thread_title:  For irrational k the curve won't fill the unit disc 

message: Here are some images generated from the generalized rose-limaçon equation r=b+sin(aθ): ... AnonMoos (talk) 21:44, 23 July 2014 (UTC)
thread_title: "offset parameter"

message: I am unable to reproduce the current Rose-rhodonea-curve-7x9-chart-improved.svg using r=cos(k \theta).
Here is what I got instead:
Is there anything I am missing, or the figure in question is not properly computed?  — Preceding unsigned comment added by HamdiSahloul (talk • contribs) 16:32, 3 December 2018 (UTC)
replies: text: Something is very wrong.  Check against curves generated using desmos on desmos.com.  The chart asvof this date compares favorably.  (Read the caption.) 2601:140:8980:4B20:528:3DF3:2917:4EDF (talk) 00:09, 20 February 2021 (UTC)
thread_title: 2018

message: Roses are sinusoids with no offset parameter.  Those things are limacons.  There is an article on them: limaçon.
2601:140:8980:4B20:DAA:DAE7:8979:2DE5 (talk) 01:56, 5 February 2021 (UTC)
thread_title:  [[Limaçon]] article 

message: The video is no longer available.  2601:140:8980:4B20:528:3DF3:2917:4EDF (talk) 01:02, 20 February 2021 (UTC)
thread_title:  Missing video 

message: This article needs a section on other curve types that specify roses like the hypotrochoid. Such a section which enrich understanding of both types greatly! 2601:140:8980:4B20:528:3DF3:2917:4EDF (talk) 01:49, 20 February 2021 (UTC)
thread_title:  Roses specified by other curves