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jotero
Joined: 27 Jan 2007
Posts: 62
Location: Germany Hannover
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 Posted: Sun Mar 25, 2007 5:52 pm Post subject: |
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hello all 
pow(), schwarz' p surface and scherk surfaces 
ciao
torolf
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nextstep
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Posts: 158
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| Posted: Mon Mar 26, 2007 2:56 am Post subject: |
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| 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 
Thank you so much for sharing with us your discoverys 
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inode
Joined: 27 Jan 2007
Posts: 60
Location: Austria
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| Posted: Mon Mar 26, 2007 3:04 pm Post subject: |
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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
Joined: 27 Jan 2007
Posts: 62
Location: Germany Hannover
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| Posted: Wed Mar 28, 2007 9:38 am Post subject: |
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| 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
| 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
Joined: 27 Jan 2007
Posts: 62
Location: Germany Hannover
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| Posted: Thu Apr 05, 2007 11:03 am Post subject: |
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hello all
MATHEMATISCHE UMARMUNG / MATHEMATICAL EMBRACE
For all disbelieving ones 
ciao
torolf
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nextstep
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Posts: 158
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| Posted: Thu Apr 05, 2007 9:27 pm Post subject: |
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Hi all,
| Quote: | | MATHEMATICAL EMBRACE |
That's a very beautiful sculpture jotero 
You're giving us the proof that math and art can together give birth to very beautiful models. Thanks for sharing
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jotero
Joined: 27 Jan 2007
Posts: 62
Location: Germany Hannover
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| Posted: Mon Apr 09, 2007 9:13 am Post subject: |
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hello all
Taha thanks
into one another seize.
built with k3dsurf
extensive test with moi
ciao
torolf
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nextstep
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| Posted: Wed Apr 25, 2007 6:34 am Post subject: "Mega" collection of mathematical objects |
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| torolf wrote: | MATHEMATISCHE UMARMUNG / MATHEMATICAL EMBRACE
For all disbelieving ones |
Hi all,
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...
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
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
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jotero
Joined: 27 Jan 2007
Posts: 62
Location: Germany Hannover
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| Posted: Wed Apr 25, 2007 12:06 pm Post subject: |
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hello all
hi Taha,
OK I make times the first step
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
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the days further models
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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Posts: 158
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| Posted: Wed Apr 25, 2007 9:19 pm Post subject: |
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| 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
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jotero
Joined: 27 Jan 2007
Posts: 62
Location: Germany Hannover
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| Posted: Thu Apr 26, 2007 10:46 am Post subject: |
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hello all
yes Taha I cannot to you say which in my head happened :*)
but I am ready to divide!
ciao
torolf
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jotero
Joined: 27 Jan 2007
Posts: 62
Location: Germany Hannover
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| Posted: Wed May 23, 2007 5:45 am Post subject: |
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hello all
Geduld / Patience
"wall_structure" perhaps interesting for architecture
| 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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| Posted: Thu May 24, 2007 4:23 am Post subject: |
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Hi all,
Brillant idea Torolf . I would like to sit on that chair and contemplate the surrounding
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jotero
Joined: 27 Jan 2007
Posts: 62
Location: Germany Hannover
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| Posted: Thu May 24, 2007 5:59 pm Post subject: |
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Hi all,
it becomes still better! I wait only for the new version of you :*)
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nextstep
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| Posted: Fri May 25, 2007 10:20 pm Post subject: |
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| torolf wrote: |
it becomes still better! I wait only for the new version of you :*)
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Hi all,
Here it is Totolf . 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
http://prdownloads.sourceforge.net/k3dsurf/k3dsurf-0615-Unstable.exe?download
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