MaplePrimes - comments on Post, continuous or not continuous use style=point

MaplePrimes - comments on Post, continuous or not continuous use style=point http://www.mapleprimes.com/posts/144241-Continuous-Or-Not-Continuous-Use-Stylepoint en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Tue, 09 Jun 2026 18:17:15 GMT Tue, 09 Jun 2026 18:17:15 GMT The latest comments added to the Post, continuous or not continuous use style=point http://www.mapleprimes.com/images/mapleprimeswhite.jpg MaplePrimes - comments on Post, continuous or not continuous use style=point http://www.mapleprimes.com/posts/144241-Continuous-Or-Not-Continuous-Use-Stylepoint discont=true for plot3d would be very useful http://www.mapleprimes.com/posts/144241-Continuous-Or-Not-Continuous-Use-Stylepoint?ref=Feed:MaplePrimes:continuous or not continuous use style=point:Comments#comment144247 <p>It sounds as though you are asking for the creation of a discont=true option for plot3d.</p> <p>This would be a nice addition. I can see that it is a difficult feature to implement, but that should not prevent us (and Maplesoft) from working to build the tools needed to make progress in this area.</p> <p>Until then, plotting points is a classical solution to this problem. And, once you know where the discontinuities are, then you can try to assemble the full picture in pieces. The real question is how much of this can realistically be automated?</p> <p>Just some thoughts - and a challenge / request.</p>  <p>Doug</p> <pre>--------------------------------------------------------------------- Douglas B. Meade <>< Math, USC, Columbia, SC 29208 E-mail: mailto:meade@math.sc.edu Phone: (803) 777-6183 URL: http://www.math.sc.edu </pre> The latest comments added to the Post, continuous or not continuous use style=point 144247 Wed, 06 Mar 2013 20:05:06 Z Doug Meade Doug Meade Your function has a branch cut. http://www.mapleprimes.com/posts/144241-Continuous-Or-Not-Continuous-Use-Stylepoint?ref=Feed:MaplePrimes:continuous or not continuous use style=point:Comments#comment144250 <p>Doug Meade is correct that it would be nice for Maple to work with discontinuities in plot 3d. </p> <p> </p> <p>You have a special case.  You are plotting a function over the complex plane that has a branch cut.  If you plot it in polar coordinates, you will get a nice plot.  The attached worksheet has that plot.</p> <form name="worksheet_form"> <table style="width: 576px;" align="center"> <tbody> <tr> <td> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> > </span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">z := expand(r*exp(I*theta));;</span></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -6;" src="/view.aspx?sf=144250/455384/9808dcc6fd786b7793bc9c511b705f5c.gif" alt="r*exp(I*theta)" width="57" height="30"></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right">(1)</td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> > </span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">plot3d([Re(z),Im(z),Im(sqrt(z))],r=0..3,theta=-Pi..Pi,view=[-2..2,-2..2,-2..2]);</span></p> </td> </tr> </tbody> </table> <table> <tbody> <tr valign="baseline"> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><a href="http://www.maplesoft.com/support/faqs/MapleNet/redirect.aspx?param=plot_java_14206"><img style="border: none;" src="/view.aspx?sf=144250/455384/aee27a681db52fa0f10dc77b2c027348.gif" alt="" width="400" height="400" align="middle"></a></p> </td> <td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"> </td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> > </span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">  </span></p> </td> </tr> </tbody> </table> </td> </tr> </tbody> </table> <input type="hidden" name="sequence" value="1"> <input type="hidden" name="cmd" value="none"></form> <p> </p> <p><a href="/view.aspx?sf=144250/455384/PloarPlot1.mw">Download PloarPlot1.mw</a></p> The latest comments added to the Post, continuous or not continuous use style=point 144250 Wed, 06 Mar 2013 21:00:25 Z jaytreiman jaytreiman plot representation http://www.mapleprimes.com/posts/144241-Continuous-Or-Not-Continuous-Use-Stylepoint?ref=Feed:MaplePrimes:continuous or not continuous use style=point:Comments#comment144252 <p>Interestingly if we choose r=-3..3 and theta=0 to Pi we get a similar plot</p> <p>plot3d([Re(z), Im(z), Im(sqrt(z))], r = -3 .. 3, theta = 0 .. Pi, view = [-2 .. 2, -2 .. 2, -2 .. 2])</p> <p><a href="/view.aspx?sf=144252/455388/cont4.jpg"><img src="/view.aspx?sf=144252/455388/cont4.jpg" alt="" width="215" height="215"></a></p> <p>**edit add**</p> <p>The connected area still essentially exists in the maple plot,  Even with r=0..3 and increasing the theta range from -Pi to 2*Pi.  The graph that should be displayed should be one without a visual connection.</p> The latest comments added to the Post, continuous or not continuous use style=point 144252 Wed, 06 Mar 2013 21:46:01 Z Christopher2222 Christopher2222 discont = true, a recall http://www.mapleprimes.com/posts/144241-Continuous-Or-Not-Continuous-Use-Stylepoint?ref=Feed:MaplePrimes:continuous or not continuous use style=point:Comments#comment144344 <p>It makes me remember a request of mine to support, October 10 1997:</p> <blockquote>I would appreciate very much an option discont for plot3d.</blockquote> <p>The answer, four days later:</p> <blockquote><em> I will forward your suggestion for a discont setting in plot3d on to our developers to consider. </em></blockquote> <p>Just over 15 years ago...</p> <p>In the mean time, Mathematica got it by adaptive mesh and points its finger at Maple with this same <a href="http://www.wolfram.com/mathematica/compare-mathematica/files/MathematicaMaplePlottingAutomation.pdf">branch cut plot</a>.</p> The latest comments added to the Post, continuous or not continuous use style=point 144344 Fri, 08 Mar 2013 09:59:24 Z Alejandro Jakubi Alejandro Jakubi style=point and rotation http://www.mapleprimes.com/posts/144241-Continuous-Or-Not-Continuous-Use-Stylepoint?ref=Feed:MaplePrimes:continuous or not continuous use style=point:Comments#comment144396 <p>A problem with <strong><span>style=point</span></strong> 3D plots is rotation. In Standard GUI, with a grid of <strong>[70,70]</strong>, as used by Christopher above, rotation still goes smoothly in my machine. But already with <strong>[100,100]</strong>, to get a nicer looking surface, rotation becomes jumpy. I find it remarkable as it is just about a factor 2 more points. For the same expression to be ploted, I do not observe a similar problem in ordinary <strong>style=patch</strong> 3D plots, even at higher grid densities.</p> The latest comments added to the Post, continuous or not continuous use style=point 144396 Sat, 09 Mar 2013 09:22:41 Z Alejandro Jakubi Alejandro Jakubi