K3DSurf forum

denisc · Joined: 24 Apr 2013 Posts: 92

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

i think we have to put bumps on the bubbletons

denisc · Joined: 24 Apr 2013 Posts: 92

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

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

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

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 Smile

it seems torolf knows for sure. and other will know dobriner.

denisc · Joined: 24 Apr 2013 Posts: 92

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

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

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

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

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

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

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

thank very well uoface for your interest and your help. Laughing

i take a look of all, quickly.

ufoace · Joined: 11 Mar 2013 Posts: 46

/*
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