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 Dariusz Pogocki #1 Posted : 05 October 2020 04:05:04(UTC) Rank: NewbieGroups: Registered Joined: 01/10/2020(UTC)Posts: 3Location: Cieszyna Hi,For my Physical Chemistry lectures I am adopting MathCAD 8th sheets attached to the Atkins and de Paula, 7th edition textbook, to the recent SMath Studio. For 3D plots I am applying plugin "3D Plot Region (Chart3DLi" it works good except saving formatted plots. Have you got any idea how to resolve the problem.The SMath sheet and PDF screen attached.YoursDariusz. P701E02+.sm (29kb) downloaded 43 time(s). P701E02+.pdf (271kb) downloaded 38 time(s).
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 mkraska #2 Posted : 05 October 2020 15:49:53(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/04/2012(UTC)Posts: 2,014Was thanked: 1149 time(s) in 737 post(s) This is a version using the draw function of the Maxima plugin. The commands are described and demonstrated in Section 6.1 of the german SMath Handbuch P701E02_Kr.sm (225kb) downloaded 43 time(s). Martin Kraska Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
 Dariusz Pogocki #3 Posted : 05 October 2020 17:36:26(UTC) Rank: NewbieGroups: Registered Joined: 01/10/2020(UTC)Posts: 3Location: Cieszyna Thanks Martin,Now I have to overcome the "no maxima.bat" problem. .Your solution allows rotation of the plot?Dariusz
 mkraska #4 Posted : 05 October 2020 19:24:49(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/04/2012(UTC)Posts: 2,014Was thanked: 1149 time(s) in 737 post(s) For configuring maxima, see the link in the signature.The given solution controls the orientation by the view parameters.Yet there is a so called Maxima Draw3D region, where interactive rotation is possible, at the price of slightly less stability (the region might freeze). Martin Kraska Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
 Jean Giraud #5 Posted : 05 October 2020 22:54:49(UTC) Rank: GuestGroups: Registered Joined: 04/07/2015(UTC)Posts: 6,866Was thanked: 983 time(s) in 811 post(s) Originally Posted by: Dariusz Pogocki Now I have to overcome the "no maxima.bat" problem. .Your solution allows rotation of the plot?You can do it much differently and more profitable:1. Tabulate a 10 x 10 xy matrix [per say]2. Install the spline 2D3. Mesh finer CreateMesh.4. Orient at will.5. Plot the 2D oriented.The bonus is that you can spline/interpolate the original matrix.
 Dariusz Pogocki #6 Posted : 06 October 2020 20:38:20(UTC) Rank: NewbieGroups: Registered Joined: 01/10/2020(UTC)Posts: 3Location: Cieszyna Hi! Maxima works after instalaton of the last, 64-bit version.The lectures I have for biology students, which are mathematically impaired (excluding statistics, which they learn but hate). Therefore I would like for them simplest possible solution, with "crude" SMath.Yours,Dariusz
 Razonar #7 Posted : 06 October 2020 20:43:25(UTC) Rank: Advanced MemberGroups: Registered Joined: 28/08/2014(UTC)Posts: 1,407Was thanked: 859 time(s) in 545 post(s) Hi. You can adapt this technique to preserve the orientation in the 3D plot or plot the projection of a 3D surface into a 2D plot, both native SMath plots. The original idea isn't mine, but can't find from who I adapt it. Plot2DAs3D.sm (28kb) downloaded 46 time(s). Plot2DAs3D.pdf (127kb) downloaded 36 time(s).Best regards.Alvaro.
 Jean Giraud #8 Posted : 06 October 2020 22:19:39(UTC) Rank: GuestGroups: Registered Joined: 04/07/2015(UTC)Posts: 6,866Was thanked: 983 time(s) in 811 post(s) Originally Posted by: Dariusz Pogocki Hi! Maxima works after installaton of the last, 64-bit version.The lectures I have for biology students, which are mathematically impaired (excluding statistics, which they learn but hate). Therefore I would like for them simplest possible solution, with "crude" SMath.Yours,DariuszThen the simplest is in native Smath ... ignoring Maxima.In the attached: spline(x,y,M) is same as bilinear(x,y,M)spline(x,y,M) adapted from Valery Ochov [MCD] Spline Matrix Tutorial RECTANGULAR Surface Plot.sm (23kb) downloaded 32 time(s). SplineRectangularMatrix1 Rotate XYZ.sm (55kb) downloaded 30 time(s). Bilinear [Oterwise metric X, Y Directions].sm (78kb) downloaded 28 time(s).
 Ber7 #9 Posted : 06 October 2020 22:51:15(UTC) Rank: Advanced MemberGroups: Registered Joined: 15/07/2010(UTC)Posts: 437Location: Beer-ShevaWas thanked: 520 time(s) in 288 post(s) Originally Posted by: Razonar Hi. You can adapt this technique to preserve the orientation in the 3D plot or plot the projection of a 3D surface into a 2D plot, both native SMath plots. The original idea isn't mine, but can't find from who I adapt it.Alvaro,perhaps you got this idea from herehttps://en.smath.com/for...-dimensional--graph.aspx 1 user thanked Ber7 for this useful post. on 07/10/2020(UTC)
 Razonar #10 Posted : 06 October 2020 23:21:17(UTC) Rank: Advanced MemberGroups: Registered Joined: 28/08/2014(UTC)Posts: 1,407Was thanked: 859 time(s) in 545 post(s) Originally Posted by: Ber7 Originally Posted by: Razonar Hi. You can adapt this technique to preserve the orientation in the 3D plot or plot the projection of a 3D surface into a 2D plot, both native SMath plots. The original idea isn't mine, but can't find from who I adapt it.Alvaro,perhaps you got this idea from herehttps://en.smath.com/for...-dimensional--graph.aspxHi Fridel. Sure from you, but not from this post, which involve very complicate figures. I remember that I ask from another post (I assume now to you) from where you get that gamma factor for rotate the matrix to plot, because have troubles reconstructing it. In spanish literature spherical coordinates and Euler angles are not always the same than in english, and given that SMath 3D plots are left oriented ... with this two issues I have enough. BTW the idea for multiply with a "point of view" matrix it's great and works for make 3D plots in native SMath 2D plot region, or preserve the orientation in 3D. I remember also another post, guess from Jean, with other matrices expressing very simple rotations with integers as coefficients.Best regards.Alvaro.
 Jean Giraud #11 Posted : 07 October 2020 03:50:41(UTC) Rank: GuestGroups: Registered Joined: 04/07/2015(UTC)Posts: 6,866Was thanked: 983 time(s) in 811 post(s) Originally Posted by: Dariusz Pogocki For 3D plots I am applyingplugin "3D Plot Region (Chart3DLi" it works good except saving formatted plots. Have you got any idea how to resolve the problem.Considered a bug, reported, never solved ... plugin as iscan't mesh, does not save setting => useless.Practice the attached. Page2 Unk.sm (37kb) downloaded 29 time(s).
 Razonar #12 Posted : 07 October 2020 11:24:19(UTC) Rank: Advanced MemberGroups: Registered Joined: 28/08/2014(UTC)Posts: 1,407Was thanked: 859 time(s) in 545 post(s) Originally Posted by: Razonar ...Hi Fridel. Sure from you, but not from this post, which involve very complicate figures. I remember that I ask from another post (I assume now to you) from where you get that gamma factor for rotate the matrix to plot, because have troubles reconstructing it. ...Found it. Here: https://en.smath.com/for..._3D-Rotation-Matrix.aspx and here: https://en.smath.com/for...gLib-3-1x.aspx#post54527Best regards.Alvaro. 1 user thanked Razonar for this useful post. on 07/10/2020(UTC)
 Jean Giraud #13 Posted : 08 October 2020 03:23:31(UTC) Rank: GuestGroups: Registered Joined: 04/07/2015(UTC)Posts: 6,866Was thanked: 983 time(s) in 811 post(s) Originally Posted by: Razonar from where you get that gamma factor for rotate the matrix to plot, because have troubles reconstructing it.That gamma factor is the Euler [roll, pitch, yaw] NOT commutative,otherwise: couldn't pilot aircraft !!!The MeshPlot(T(u,v),0,2*π,35,0,2*π,35) is CreateMesh(,,,,,,,) since at least SS 5346The attached is Alvaro document optimized SS 6179Once optimized, it runs ~ 10 times faster but twice timing than CreateMesh.There are 4 common rotations:1. Quaternions,2. Parametric 'X,Y,Z,t'3. Euler4. CompositeIf you want those demo sheets: say YES.Cheers, thanks alvaro ... Jean Utilities Matrix CreateMesh Code [Alvaro].sm (43kb) downloaded 37 time(s). 1 user thanked Jean Giraud for this useful post. on 08/10/2020(UTC)
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