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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*usin(u)
Y(u)=(21.5*cos(u))*cos(v)
Z(u)=(21.5*cos(u))*sin(v)
[u]:5, 5
[v]:0, 6.28
another
more big
2/
X(u)=u+1.5*sin(u)
Y(u)=(21.5*cos(u))*cos(v)
Z(u)=(21.5*cos(u))*sin(v)
[u]:7, 7
[v]:0, 6.28
3/
X(u)=.2*usin(u)
Y(u)=(21.5*cos(u))*cos(v)
Z(u)=(21.5*cos(u))*sin(v)
[u]:5, 5
[v]:0, 6.28
X(u)=.5*usin(u)
Y(u)=(21.5*cos(u))*cos(v)
Zu()=(21.5*cos(u))*sin(v)
[u]:5, 5
[v]:0, 6.28
c/
X(u)=.7*usin(u)
Y(u)=(21.5*cos(u))*cos(v)
Z(u)=(21.5*cos(u))*sin(v)
[u]:5, 5
[v]:0, 6.28
cheer
denisc 

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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 

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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 

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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? 

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denisc
Joined: 24 Apr 2013 Posts: 92


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ufoace
Joined: 11 Mar 2013 Posts: 46


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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.tuberlin.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? 

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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+ 

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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 

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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? 

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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:
035451800902097C.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 

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ufoace
Joined: 11 Mar 2013 Posts: 46


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ufoace
Joined: 11 Mar 2013 Posts: 46


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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. 

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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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