Numerical parameterization implicit surfaces of the form f (x, y, z) = 0 - Mensajes
#1 Publicado: 29/5/2015 20:25:23
The grid lines are found by Draghilev Method
Method 1.
Building a line of intersection of the required surface
with the plane x = 0. This line is rotated in steps of 2 * Pi / s
about a vertical axis by an angle 2 * Pi, where s is the number of steps (the grid lines)
Method 1.
Building a line of intersection of the required surface
with the plane x = 0. This line is rotated in steps of 2 * Pi / s
about a vertical axis by an angle 2 * Pi, where s is the number of steps (the grid lines)
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Davide Carpi 31/5/2015 7:19:00
#3 Publicado: 17/12/2016 18:17:47
The graph an implicit surface depicted by lines
Examples of the idea of the algorithm taken from the publication of Alexey Ivanov
http://www.mapleprimes.com/questions/219995-Finding-A-Convinient-Parametrization-Of-Surfaces#answer233804
Examples of the idea of the algorithm taken from the publication of Alexey Ivanov
http://www.mapleprimes.com/questions/219995-Finding-A-Convinient-Parametrization-Of-Surfaces#answer233804
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#4 Publicado: 29/1/2017 16:56:41
Two surfaces are taken from the site
http://xrt.wikidot.com/gallery:implicit
The calculation algorithm:
1.Find the line of intersection of the given surface with the plane Z=0
2.Through each point hold the plane x1 = C and find the line of intersection of that plane with a given surface.These lines represent a given surface.
http://xrt.wikidot.com/gallery:implicit
The calculation algorithm:
1.Find the line of intersection of the given surface with the plane Z=0
2.Through each point hold the plane x1 = C and find the line of intersection of that plane with a given surface.These lines represent a given surface.
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Davide Carpi 30/1/2017 9:18:00
#5 Publicado: 29/1/2017 23:28:16
Thanks for these two animations. In each one, the last three plots
stay red, though the animated plot works fine. A small detail:
each work sheet has three definitions left over at page 17.
Jean
stay red, though the animated plot works fine. A small detail:
each work sheet has three definitions left over at page 17.
Jean
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Davide Carpi 30/1/2017 9:18:00
#6 Publicado: 30/1/2017 3:51:39
Thank you Jean,
Worksheets corrected. In addition, in the algorithm for calculating along with x1 = C can be used x2 = C:
double torus x2.sm
Worksheets corrected. In addition, in the algorithm for calculating along with x1 = C can be used x2 = C:
double torus x2.sm
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#7 Publicado: 31/1/2017 17:50:55
The tube in the form of a line of intersection of the cylinder and the torus (See post 7)
http://en.smath.info/forum/yaf_postst2307_Method-A-B--Draghilev-and-animation-spatial-mechanisms.aspx
Time calculation, 9 min.
Villarceau 9.sm
http://en.smath.info/forum/yaf_postst2307_Method-A-B--Draghilev-and-animation-spatial-mechanisms.aspx
Time calculation, 9 min.
Villarceau 9.sm
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Davide Carpi 1/2/2017 5:58:00
#10 Publicado: 14/6/2017 13:27:49
Non-circular cylindrical vessels with quasi-ellipsoidal ends
Krivoshapko S.N. Ivanov V.N,Encyclopedia of Analytical Surfaces ,Springer,2015
Non-circular cylindrical vessels.pdf
Non-circular cylindrical vessels.sm
Shell1.sm
Shell2.sm
Shell3.sm
Krivoshapko S.N. Ivanov V.N,Encyclopedia of Analytical Surfaces ,Springer,2015
Non-circular cylindrical vessels.pdf
Non-circular cylindrical vessels.sm
Shell1.sm
Shell2.sm
Shell3.sm
#11 Publicado: 15/6/2017 9:43:57
Thanks Ber7 for the work sheets [Not finished downloading].
If you visit this document, I'm wondering:
"How to add red points in this plot".
Thanks in advance ... Jean
Maths sph2xyz.sm
If you visit this document, I'm wondering:
"How to add red points in this plot".
Thanks in advance ... Jean
Maths sph2xyz.sm
#12 Publicado: 15/6/2017 12:23:51
Hello Jean,
Unfortunately, the 3d chart does not allow you to draw points.
Exit (hopefully temporary) -make a 3d chart on a 2d chart.
Maths sph2xyz2d.sm
Unfortunately, the 3d chart does not allow you to draw points.
Exit (hopefully temporary) -make a 3d chart on a 2d chart.
Maths sph2xyz2d.sm
#14 Publicado: 6/2/2018 5:06:49
Nice examples!
Just some remarks for those who want to play around with Maxima Draw.
ImplicitMaxima_Kr.sm
![2018-02-06 08_55_49-SMath Studio - [ImplicitMaxima.sm_].png](/es-ES/files/Download/BoD4rH/2018-02-06-08_55_49-SMath-Studio---[ImplicitMaxima.sm_].png)
Just some remarks for those who want to play around with Maxima Draw.
- Instead of Image region with Draw() command you can use Maxima Draw3D region with interactive zoom, rotation and resize and a settings dialog.
Insert-> Maxima-> Draw3D - The performance isn't overwhelming, as the image is recalculated for each interaction.
- The snippet "draw" provides help texts for the available draw commands and options.
- Follow the link in my signature to see how to configure SMath with Maxima.
ImplicitMaxima_Kr.sm
Technische Mechanik mit SMath Studio: https://link.springer.com/book/10.1007/978-3-658-50592-9
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Вячеслав Мезенцев 6/2/2018 6:15:00, Radovan Omorjan 6/2/2018 6:22:00, frapuano 6/2/2018 10:28:00, Fridel Selitsky 6/2/2018 5:08:00
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