old delaunay parametric surfaces and others devellopements Goto page 1, 2  Next
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denisc

Joined: 24 Apr 2013
Posts: 92

 Posted: Fri Sep 27, 2013 6:43 pm    Post subject: old delaunay parametric surfaces and others devellopements hello all I would like to bring to your intension with one formula delaunay 3D parametric and if you can help me find other more difficult ?? I'd love to have at least an approximation of the torus dolbriner? feasible in k3d? first formula a simple bubbleton X(u)=2*u-sin(u) Y(u)=(2-1.5*cos(u))*cos(v) Z(u)=(2-1.5*cos(u))*sin(v) [u]:-5, 5 [v]:0, 6.28 another more big 2/ X(u)=-u+1.5*sin(u) Y(u)=(2-1.5*cos(u))*cos(v) Z(u)=(2-1.5*cos(u))*sin(v) [u]:-7, 7 [v]:0, 6.28 3/ X(u)=.2*u-sin(u) Y(u)=(2-1.5*cos(u))*cos(v) Z(u)=(2-1.5*cos(u))*sin(v) [u]:-5, 5 [v]:0, 6.28 X(u)=.5*u-sin(u) Y(u)=(2-1.5*cos(u))*cos(v) Zu()=(2-1.5*cos(u))*sin(v) [u]:-5, 5 [v]:0, 6.28 c/ X(u)=.7*u-sin(u) Y(u)=(2-1.5*cos(u))*cos(v) Z(u)=(2-1.5*cos(u))*sin(v) [u]:-5, 5 [v]:0, 6.28 cheer denisc
ufoace

Joined: 11 Mar 2013
Posts: 46

 Posted: Wed Oct 02, 2013 7:40 pm    Post subject: i think we have to put bumps on the bubbletons
denisc

Joined: 24 Apr 2013
Posts: 92

 Posted: Wed Oct 02, 2013 8:43 pm    Post subject: hello ufoace yes, thank you, it would be already very good. In fact, I opened this post in order to have some formulas figures cmc, possible in k3d? In fact i don't know , if it's possible. my formula it' a simplification of a nodoid formula find on web . i think a little of cmc cylinder made ​​by jotero or  rattlesnake torus. it's on, there's lots of bubbles in it. cheers denisc
ufoace

Joined: 11 Mar 2013
Posts: 46

 Posted: Fri Oct 11, 2013 5:12 pm    Post subject: It seems that you are approaching it from a different field of science? what is cmc? i dont know that much about maths, i just found a list of 30 / 40 formulas from a user of this forum and learnt from there. did you see the isosurface tutorials? perhaps post pictures of the surfaces that you want formulas for?
denisc

Joined: 24 Apr 2013
Posts: 92

 Posted: Sat Oct 12, 2013 3:29 pm    Post subject: hello ufoace thanks for the suggestion. i can explain, what is cmc These are minimal surfaces with constant curvature always being equal. The particularity of its surfaces is that they are constructed with paths ellyptiques. (with or necessitated having to solve indefinite integralles) To see these surfaces, you can visit this 2 sites http://www-sfb288.math.tu-berlin.de/~matt/matt.html http://www.math.uni-tuebingen.de/user/nick/ And see the area that interest me first, following this link. http://www.math.uni-tuebingen.de/user/nick/gallery/RattlesnakeTorus.html To mimic the surface could put spheres sue each side of a moebius torus or add a feature of bubbles in the formula as the method with the peaks. see topic on this forum http://k3dsurf.s4.bizhat.com/viewtopic.php?t=173 for pictures, I'll post later, for some surfaces, I redid with cmclab java version, but I mastered very poorly. here is my first explanation for. ask me , if you want more. cheers denisc
ufoace

Joined: 11 Mar 2013
Posts: 46

 Posted: Sun Oct 13, 2013 7:39 am    Post subject: ooooh ok, i though you were interested in graphing a cartoon boobs and a taurus instead of a cmc because of first post, it was funny, i thinked, what is this? hihi! sorry oups. you want these: the only info i found was this: http://forum.jotero.com/viewtopic.php?p=2668&sid=3b7393eab1e8f872694c56bdd4373de3 http://forums.cgarchitect.com/15503-new-moebius-ring-torolf-21.html http://forum.jotero.com/viewtopic.php?p=2496&sid=ff7515aa65e0f4b79801b4ed29f9e9fe I think that this post is too confusing now perhaps start a new one called cmc dobriner torus formula plz it seems torolf knows for sure. and other will know dobriner.
denisc

Joined: 24 Apr 2013
Posts: 92

 Posted: Sun Oct 13, 2013 8:55 am    Post subject: hello ufoace In your link ,torolf said hi pilou, sorry, the Dobriner is constructed not with k3dsurf, for more information here: http://page.math.tu-berlin.de/~knoeppel/ i hope , perhaps exist, a simplify formula for k3dsurf, of this torus and other cmc surfaces. If not, it's difficult to open a new tread to speak of anothers softwares?
ufoace

Joined: 11 Mar 2013
Posts: 46

 Posted: Sun Oct 13, 2013 9:57 am    Post subject: This program can do any parametric and isosurfaces. it's the same formula possible on both programs, difficult thing as you say is the formula. i think someone will know this and answer soon with all the picture illustrations, although if Torolf is not on this forum at the moment, best to send him email on google+
denisc

Joined: 24 Apr 2013
Posts: 92

 Posted: Sun Oct 13, 2013 11:55 am    Post subject: thank for your support ufoace. that is a better way,certainly. i try that, in a few days; if no one repond me. cheers
ufoace

Joined: 11 Mar 2013
Posts: 46

 Posted: Sun Oct 13, 2013 9:09 pm    Post subject: did you go from starting point of a taurus formula, a kind of sin of a moebious? I look for delaunay and cmc and bubbleton on wolfram and wiki. its not on there. so perhaps start the wiki article. when is the discovery of it? or the book it's published? You have a devoir for estudy on it?
denisc

Joined: 24 Apr 2013
Posts: 92

 Posted: Sun Oct 13, 2013 11:04 pm    Post subject: hello ufoace my starting point for a formula is a pdf of Marija ´Ciri. If you search on google: 0354-51800902097C.pdf , you find that easily. anothers Computer graphics and soap bubbles(Cheung Leung Fu, Ng Tze Beng).pdf and 1001.5198.pdf the first and third is for mathematica and the second for mapple. cheers
ufoace

Joined: 11 Mar 2013
Posts: 46

 Posted: Mon Oct 14, 2013 11:38 am    Post subject: Hello Denisc, very interesting topic. I think the complex CMC arose from a base formula called the wente torus, on which there is a very much information _. so the surfaces you have illustrated are: Delaunay unduloid, a Delaunay nodoid. So I found a nice video www.youtube.com/watch?v=FjFKLPYAi_U and then I was looking for mathematics code for it using a Google trick, type the subject and then to write some code words like static void, sin so I found some very interesting PDFs, and a bit of mathematics programming to make a wente torus: bad code: http://www2.le.ac.uk/departments/mathematics/extranet/staff-material/staff-profiles/kl96/stuff/summer-project-pearce-dedmon nice pics: http://download.springer.com/static/pdf/85/bbm%253A978-3-642-59195-2%252F1.pdf?auth66=1381919194_4f3e79f8771348c2bd68da51b3566f3e&ext=.pdf java: http://www.javaview.de/vgp/tutor/key/PaKeyframe.html pics and javas! http://www.st.hirosaki-u.ac.jp/~shimpei/GPS/GPSCMC/GPSCMC.html javas: http://www-users.york.ac.uk/~im7/surfaces.html mathematica formula file .nb: http://www.eg-models.de/models/Surfaces/Mean_Curvature_Surfaces/2002.03.003/_preview.html you can run them with: http://www.wolfram.com/cdf-player/ so yes basically i dont know, but if you ask the forum for a specific shape from the new york list, they will one day have answer. i am bad at maths and good at google reference:)
ufoace

Joined: 11 Mar 2013
Posts: 46

 Posted: Mon Oct 14, 2013 11:50 am    Post subject: this also is bubbleton: http://www.youtube.com/watch?v=9Nh-3sH388U and here is a bubbleton grapher called noid, it's offline java. http://www-sfb288.math.tu-berlin.de/~nick/Noid/
denisc

Joined: 24 Apr 2013
Posts: 92

 Posted: Mon Oct 14, 2013 1:11 pm    Post subject: thank very well uoface for your interest and your help. i take a look of all, quickly.
ufoace

Joined: 11 Mar 2013
Posts: 46

 Posted: Mon Oct 14, 2013 9:01 pm    Post subject: /* kneeling Figure 2008 Torolf Sauermann. */ X():cos(-4.0*u)*cos(v) + 1.13 *cos(u) Y():sin(v)-cos(2*u)-cos(v) + 2.0 *cos(u) Z():-sin(4.0*u)*cos(v) + -1.13*sin(u) [u]:0, 2*pi [v]:0, 2*pi
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