Math object collection from jotero(http://forum.jotero.com/)
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nextstep
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PostPosted: Mon Mar 26, 2007 2:56 am    Post subject: Reply with quote

jotero wrote:
pow(), schwarz' p surface and scherk surfaces

Hi all,
Who can beleive it that such mixture can bring to life so beautiful shapes ? only one...jotero Very Happy
Thank you so much for sharing with us your discoverys Razz
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Abderrahman
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inode



Joined: 27 Jan 2007
Posts: 127
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PostPosted: Mon Mar 26, 2007 3:04 pm    Post subject: Reply with quote

jotero wrote:
pow and k3dsurf for all to test

seems that there is no difference in the calculation of the new pow function

so
Code:
4.8*(sin(4*x)*sin(4*y)*sin(4*z))^4 -(cos(x)+cos(y)+cos(z))

and
Code:
4.8*pow(sin(4*x)*sin(4*y)*sin(4*z),4) -(cos(x)+cos(y)+cos(z))

should be displayed in the same way.

And - what a suprise - they do !

btw. I was trying to display the scherk surface. Seems that it is not as easy as it looks like. Hope that's the right formula.

log(cos(x)/cos(y))-z
[x]:-8, 8
[y]:-8, 8
[z]:-4, 4
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jotero



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Location: Germany Hannover

PostPosted: Wed Mar 28, 2007 9:38 am    Post subject: Reply with quote

inode wrote:
jotero wrote:
pow and k3dsurf for all to test

seems that there is no difference in the calculation of the new pow function

so
Code:
4.8*(sin(4*x)*sin(4*y)*sin(4*z))^4 -(cos(x)+cos(y)+cos(z))

and
Code:
4.8*pow(sin(4*x)*sin(4*y)*sin(4*z),4) -(cos(x)+cos(y)+cos(z))

should be displayed in the same way.

And - what a suprise - they do !

btw. I was trying to display the scherk surface. Seems that it is not as easy as it looks like. Hope that's the right formula.

log(cos(x)/cos(y))-z
[x]:-8, 8
[y]:-8, 8
[z]:-4, 4



many more simply Smile
Quote:
/*
scherk
*/

F(): z-x*y
[x]: -2.5 , 2.5
[y]: -2.5 , 2.5
[z]: -2.5 , 2.5

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jotero



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Posts: 153
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PostPosted: Thu Apr 05, 2007 11:03 am    Post subject: Reply with quote

hello all Very Happy

MATHEMATISCHE UMARMUNG / MATHEMATICAL EMBRACE


For all disbelieving ones Wink


ciao
torolf
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nextstep
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PostPosted: Thu Apr 05, 2007 9:27 pm    Post subject: Reply with quote

Hi all,
Quote:
MATHEMATICAL EMBRACE

That's a very beautiful sculpture jotero Shocked
You're giving us the proof that math and art can together give birth to very beautiful models. Thanks for sharing Very Happy
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jotero



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PostPosted: Mon Apr 09, 2007 9:13 am    Post subject: Reply with quote

hello all Smile

Taha thanks Smile

into one another seize.

built with k3dsurf Wink

extensive test with moi


ciao
torolf
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nextstep
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PostPosted: Wed Apr 25, 2007 6:34 am    Post subject: "Mega" collection of mathematical objects Reply with quote

torolf wrote:
MATHEMATISCHE UMARMUNG / MATHEMATICAL EMBRACE
For all disbelieving ones

Hi all, Smile
As I said before, your work is really great and we will be proud to have you participate to the K3DSurf project. How can you participate? simply by providing a single ".k3ds" file that include some examples of isosurfaces formulas that you already made available in this thread. I can do it myself but I want to let you choose names for your models and also add your own comments, links to your website, your name... Smile
This file will be added as-is to the K3DSurf code and binarys and made available for some thousands of people around the world so it's just like making available for them what you're already showing us in this forum Smile
Of course this is just a suggestion that I think can be useful since K3DSurf can now load multi formulas in a single ".k3ds" file , wich make easy to share it's discoveries with others.
All participant to this forum are also invited to this "Mega" collection of mathematical objects Very Happy
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jotero



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Posts: 153
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PostPosted: Wed Apr 25, 2007 12:06 pm    Post subject: Reply with quote

hello all Smile
hi Taha,

OK Smile I make times the first step Shocked

all code for the version k3dsurf-1614-Unstable

Code:
/*
ISOBALL SCHERK
2007 (c) Torolf Sauermann
*/
F(): if((abs(x)<0.5*pi-0.5)&(abs(y)<0.5*pi-0.5)&(abs(z)<0.5*pi-0.5),(1)* ((cos(x) + cos(y) + cos(z))*(cos(x + sin(x)/3.3)+ cos(y + sin(y)/3.3) + cos(z + sin(z)/3.3))) -4.4*pow(sin(6*(z+4.5*sin(pi/8*z)))-sin(6*(x+4.5*sin(pi/8*x)))*sin(6*(y+4.5*sin(pi/8*y))), 4)-1.4,1)-4.8
[x]: -2*pi/4 , 2*pi/4
[y]: -2*pi/4 , 2*pi/4
[z]: -2*pi/4 , 2*pi/4


Code:
/*
2007 (c) Torolf Sauermann
*/

F(): if((abs(x)<1*pi-0.1)&(abs(y)<1*pi-0.1)&(abs(z)<1*pi-0.1),(cos(x) + cos(y) + cos(z))*((cos(x + sin(x)/4.3) + cos(y + sin(y)/4.3) + cos(z + sin(z)/4.3))),1)+0.05*pow(sin(1*((y*y)+0.0*sin(pi/8*y)))+sin(1*((x*x)+0.0*sin(pi/8*x)))+sin(1*((z*z)+0.0*cos(pi/8*z))), 4)
[x]: -3.10 , 3.10
[y]: -3.10 , 3.10
[z]: -3.10 , 3.10


Code:
/*
2007 (c) Torolf Sauermann
*/
F(): 1*(8.11+z*y*x+y*y-8.11*if((abs(x)<2*pi-0.5)&(abs(y)<2*pi-0.5)&(abs(z)<2*pi-0.5),0.2*(10.0*(sin(x-pi/4) * sin(y-pi/4) * sin(z-pi/4) + sin(x-pi/4) * cos(y-pi/4) * cos(z-pi/4) + cos(x-pi/4) * sin(y-pi/4) * cos(z-pi/4) + cos(x-pi/4) * cos(y-pi/4) * sin(z-pi/4)) - 0.7*(cos(4*x) + cos(4*y) + cos(4*z))*(-0.5*x/y)*(-0.5*y/x)/ 2.2*(6.0*(sin(x-pi/4) * sin(y-pi/4) * sin(z-pi/4) + sin(x-pi/4) * cos(y-pi/4) * cos(z-pi/4) + cos(x-pi/4) * sin(y-pi/4) * cos(z-pi/4) + cos(x-pi/4) * cos(y-pi/4) * sin(z-pi/4)) - 0.7*(cos(4*x) + cos(4*y) + cos(4*z))) - 7.7) +1.4,1))
[x]: -8*pi/4 , 8*pi/4
[y]: -8*pi/4 , 8*pi/4
[z]: -8*pi/4 , 8*pi/4


the days further models Smile

ciao
torolf
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Last edited by jotero on Thu Apr 26, 2007 10:37 am; edited 1 time in total
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nextstep
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PostPosted: Wed Apr 25, 2007 9:19 pm    Post subject: Reply with quote

torolf wrote:
OK Smile I make times the first step

Hi all,
Thanks torolf and I don't worry you're faster in writing maths formulas than me in writing C++ code Very Happy
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jotero



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PostPosted: Thu Apr 26, 2007 10:46 am    Post subject: Reply with quote

hello all Smile

yes Taha Smile I cannot to you say which in my head happened :*)

but I am ready to divide!

ciao
torolf
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jotero



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PostPosted: Wed May 23, 2007 5:45 am    Post subject: Reply with quote

hello all Smile

Geduld / Patience


"wall_structure" perhaps interesting for architecture Wink


Code:
/*
wall_structure
2007 (c) Torolf Sauermann
*/
F(): x+y-0.161*if((abs(x)<2*pi-0.5)&(abs(y)<2*pi-0.5)&(abs(z)<2*pi-0.5),0.2*(10.0*(sin(x-pi/4) * sin(y-pi/4) * sin(z-pi/4) + sin(x-pi/4) * cos(y-pi/4) * cos(z-pi/4) + cos(x-pi/4) * sin(y-pi/4) * cos(z-pi/4) + cos(x-pi/4) * cos(y-pi/4) * sin(z-pi/4)) - 0.7*(cos(4*x) + cos(4*y) + cos(4*z))/ 0.3*(6.0*(sin(x-pi/4) * sin(y-pi/4) * sin(z-pi/4) + sin(x-pi/4) * cos(y-pi/4) * cos(z-pi/4) + cos(x-pi/4) * sin(y-pi/4) * cos(z-pi/4) + cos(x-pi/4) * cos(y-pi/4) * sin(z-pi/4)) - 0.7*(cos(4*x) + cos(4*y) + cos(4*z))) - 4.0) +1.4,1)
[x]: -8*pi/4 , 8*pi/4
[y]: -8*pi/4 , 8*pi/4
[z]: -8*pi/4 , 8*pi/4



ciao
torolf
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nextstep
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PostPosted: Thu May 24, 2007 4:23 am    Post subject: Reply with quote

Hi all,
Brillant idea Torolf Smile . I would like to sit on that chair and contemplate the surrounding Razz
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jotero



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PostPosted: Thu May 24, 2007 5:59 pm    Post subject: Reply with quote

Hi all,
it becomes still better! I wait only for the new version of you :*)
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PostPosted: Fri May 25, 2007 10:20 pm    Post subject: Reply with quote

torolf wrote:

it becomes still better! I wait only for the new version of you :*)

Hi all,
Here it is Totolf Smile . That's not the final release but it holds the most important changes. Also, to make the colored images, you have only to activate the "transparency" button and play with the transparency factor and colors Smile

http://prdownloads.sourceforge.net/k3dsurf/k3dsurf-0615-Unstable.exe?download

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jotero



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PostPosted: Sat May 26, 2007 2:10 pm    Post subject: Reply with quote

thank you taha Laughing


Demo-k3ds

ciao
torolf
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