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[MUG] graphing parametric equations in 3d

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[MUG] graphing parametric equations in 3d
Author: Han Wesseling    Posted: Thu, 21 Nov 2002 22:14:26 +0100
>> From: Han Wesseling "H.Wesseling" hello. i'm having a problem graphing the following parametric equations in 3 d: p1:=((1+cos(16*t))*cos(t)); p2:=((1+cos(16*t))*sin(t)); p3:=1+cos(16t*t); i'm probably using the wrong command(usage) plot3d([p1,p2,p3], t=-Pi..Pi); because the only things maple is returning are error msgs. hope someone can help me out?

[MUG] Re: graphing parametric equations in 3d
Author: Maple User Group    Posted: Wed, 27 Nov 2002 09:41:37 -0500
>> From: Maple User Group "maple_gr" | >> From: Han Wesseling "H.Wesseling" | i'm having a problem graphing the following parametric equations in 3 | d: | p1:=((1+cos(16*t))*cos(t)); | p2:=((1+cos(16*t))*sin(t)); | p3:=1+cos(16t*t); | | i'm probably using the wrong command(usage) | | plot3d([p1,p2,p3], t=-Pi..Pi); -=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=- Date: Fri, 22 Nov 2002 16:30:43 -0700 (MST) From: Matthias Kawski "kawski" To: "maple-list" Subject: graphing parametric equations in 3d Han: plot3d is for plotting 2-dimensional surfaces, using 2 parameters. You have only a single parameter, and the image is a 1-dimensional curve. To plot this use with(plots): spacecurve([p1,p2,p3],t=-Pi..Pi); Matthias ********************************************************** Matthias Kawski http://math.asu.edu/~kawski Dept. of Mathematics and Statistics "kawski" Arizona State University office: (480) 965 3376 Tempe, Arizona 85287-1804 home: (480) 893 0107 ********************************************************** -=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=- Date: Fri, 22 Nov 2002 16:03:17 -0800 (PST) From: Robert Israel "israel" To: "maple-list" Subject: graphing parametric equations in 3d plot3d is for surfaces. You have a curve. Try spacecurve in the plots package. Robert Israel "israel" Department of Mathematics http://www.math.ubc.ca/~israel University of British Columbia Vancouver, BC, Canada V6T 1Z2 -=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=- Date: Fri, 22 Nov 2002 17:41:16 -0800 (PST) From: John Kurtzke "kurtzke" To: "maple-list" Subject: graphing parametric equations in 3d Han, Two issues: 1. You have one too many left parentheses at the start of p1 & p2, but that might just be a transcription error. 2. spacecurve[p1, p2, p3], t=-Pi..Pi); should work. However, if you really want to use plot3d, you can -- Maple just wants limits on two parameters. "But I'm only using one" you say. Well, introduce a dummy prameter. So you can do: plot3d([p1, p2, p3], t=-Pi..Pi, s=0..1); will work john kurtzke -- John F. Kurtzke, C.S.C. Department of Mathematics 278 Buckley Center University of Portland Portland, OR 97203 503-943-7377 "kurtzke" -=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=- Date: Sat, 23 Nov 2002 10:17:25 +0100 To: "maple-list" From: Jean Garrigues "Jean.Garrigues" Subject: graphing parametric equations in 3d use plots[spacecurve] to plot space curves : plots[spacecurve]([p1,p2,p3], t=-Pi..Pi); ++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Jean GARRIGUES, ESM2, IMT, Technopole de Chateau-Gombert 13451 Marseille Cedex 13 FRANCE Tel: +33 (0)4 91 05 46 72 Fax: +33 (0)4 91 05 45 98 "mailto:Jean.Garrigues" http://esm2.imt-mrs.fr/gar/index.html ++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=- Date: Sat, 23 Nov 2002 18:12:55 -0500 (EST) From: Carl Devore "devore" To: "maple-list" Subject: graphing parametric equations in 3d plots[spacecurve]([p1,p2,p3], t= -Pi..Pi); -=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=- From: "Thomas Richard" "t.richard" To: "maple-list" Subject: AW: graphing parametric equations in 3d Date: Mon, 25 Nov 2002 10:09:06 +0100 I guess the command you're looking for is spacecurve: plots[spacecurve]([p1,p2,p3], t=-Pi..Pi); -- Mit freundlichen Gruessen / best regards Thomas Richard Tel.: +49-241-40008-52, Fax: -13 Maple Support "mailto:maple.support" Scientific Computers GmbH <http://www.scientific.de> -=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=- From: "Symancyk, Daniel" "dfsymancyk" To: "''" Subject: graphing parametric equations in 3d Date: Mon, 25 Nov 2002 10:37:59 -0500 You can use the spacecurve command that is part of the plots package. > plots[spacecurve]([p1,p2,p3,t=-Pi..Pi]); Dan Symancyk Department of Mathematics Anne Arundel Community College Arnold, MD 21012 -=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=- From: "Dr Francis J. Wright" "F.J.Wright" To: "H.Wesseling" Subject: graphing parametric equations in 3d Date: Mon, 25 Nov 2002 16:28:44 -0000 plot3d is only for plotting SURFACES. To plot a curve in 3D, as you are trying to do, you need to use plots[spacecurve] instead of plot3d. You might need to increase the number of plotting points to get a smooth plot. Also, there is an error of some kind in the value assigned to p3; either too many t's or a missing *. Francis -=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=- Date: Mon, 25 Nov 2002 07:39:08 -0900 To: "maple-list" From: "Mark Fitch" "afmaf" Subject: graphing parametric equations in 3d 3D parametric plots require two variables even if you are drawing a curve instead of a surface. Add in any dummy variable and range. p1:=((1+cos(16*t))*cos(t)); p2:=((1+cos(16*t))*sin(t)); p3:=1+cos(16*t*t); plot3d([p1,p2,p3],t=-Pi..Pi,u=0..1); Mark A. Fitch "mfitch" http://www.math.uaa.alaska.edu/~afmaf University of Alaska Anchorage 3211 Providence Drive, Anchorage, AK 99508 -=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=-=*=- Date: Mon, 25 Nov 2002 12:12:57 -0500 From: "Douglas B. Meade" "meade" To: "maple-list" "H.Wesseling" Subject: graphing parametric equations in 3d Han and MUG, Here is (another) answer to your question: The object you are attempting to plot is a curve (not a surface). The correct command to use is spacecurve in the plots package. So, here is p1:=((1+cos(16*t))*cos(t)); p2:=((1+cos(16*t))*sin(t)); p3:=1+cos(16*t); # <--- typo corrected plots[spacecurve]( [p1,p2,p3], t=-Pi..Pi ); To avoid typing the full name of the command, you can load the plots package using the command: with( plots ); Then, you can use the short version: spacecurve( [p1,p2,p3], t=-Pi..Pi ); I hope this helps, Doug ----------------------------------------------------------------------- Prof. Douglas B. Meade Phone: (803) 777-6183 FAX: (803) 777-6527 Department of Mathematics URL: http://www.math.sc.edu/~meade/ USC, Columbia, SC 29208 E-mail: "mailto:meade"

[MUG] Re: graphing parametric equations in 3d
Author: Kamminga    Posted: Thu, 28 Nov 2002 00:07:07 +0100
>> From: "kamminga" "kamminga" Probably you want to plot the spacecurve of the parametric equations in 3d. Try the following line: with(plots): spacecurve([p1,p2,p3],t=0..1); And for the Dutch Students in Delft: An advise to use the booklet: Handleiding Maple (in Dutch language). See my website. Kind regards, Metha Kamminga http://www2.nhl.nl/~kamminga

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