Talk:Rose (mathematics)

Lissajous

This seems to be quite comparable to Lissajous curves. --Abdull 18:53, 27 May 2006 (UTC)

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)

Merge from/new Rhodonea article

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)

Definitely agree. No reason to have two articles, especially as they are both so minimal. Doctormatt 16:45, 22 February 2007 (UTC)

Agree with proposed merge. Gandalf61 17:33, 22 February 2007 (UTC)

Pictures

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)

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)

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)

Area

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)

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)

For irrational k the curve won't fill the unit disc

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)

"offset parameter"

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

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3d Rose Curves

What are these things called? https://www.youtube.com/watch?v=Y7utC53CNs4

Do they have a name? Do they deserve a name? Am I over stepping any boundaries calling them 3d Rose Curves? -- 18:14, 28 March 2015‎ Tejolson

2018

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:

Rose rhodonea curve

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)

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)

Limaçon article

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)

Missing video

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

Roses specified by other curves

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)