Math object collection from jotero(http://forum.jotero.com/) Goto page Previous  1, 2, 3, 4 ... 9, 10, 11  Next
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nextstep

Joined: 06 Jan 2007
Posts: 539

Posted: Mon Mar 26, 2007 2:56 am    Post subject:

 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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Abderrahman
inode

Joined: 27 Jan 2007
Posts: 127
Location: Austria

Posted: Mon Mar 26, 2007 3:04 pm    Post subject:

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
jotero

Joined: 27 Jan 2007
Posts: 153
Location: Germany Hannover

Posted: Wed Mar 28, 2007 9:38 am    Post subject:

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: 153
Location: Germany Hannover

 Posted: Thu Apr 05, 2007 11:03 am    Post subject: hello all MATHEMATISCHE UMARMUNG / MATHEMATICAL EMBRACE For all disbelieving ones ciao torolf_________________Kontakte
nextstep

Joined: 06 Jan 2007
Posts: 539

Posted: Thu Apr 05, 2007 9:27 pm    Post subject:

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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Abderrahman
jotero

Joined: 27 Jan 2007
Posts: 153
Location: Germany Hannover

 Posted: Mon Apr 09, 2007 9:13 am    Post subject: hello all Taha thanks into one another seize. built with k3dsurf extensive test with moi ciao torolf_________________Kontakte
nextstep

Joined: 06 Jan 2007
Posts: 539

Posted: Wed Apr 25, 2007 6:34 am    Post subject: "Mega" collection of mathematical objects

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

Hi all,
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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Abderrahman
jotero

Joined: 27 Jan 2007
Posts: 153
Location: Germany Hannover

Posted: Wed Apr 25, 2007 12:06 pm    Post subject:

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

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
nextstep

Joined: 06 Jan 2007
Posts: 539

Posted: Wed Apr 25, 2007 9:19 pm    Post subject:

 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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Abderrahman
jotero

Joined: 27 Jan 2007
Posts: 153
Location: Germany Hannover

 Posted: Thu Apr 26, 2007 10:46 am    Post subject: hello all yes Taha I cannot to you say which in my head happened :*) but I am ready to divide! ciao torolf_________________Kontakte
jotero

Joined: 27 Jan 2007
Posts: 153
Location: Germany Hannover

Posted: Wed May 23, 2007 5:45 am    Post subject:

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

Joined: 06 Jan 2007
Posts: 539

 Posted: Thu May 24, 2007 4:23 am    Post subject: Hi all, Brillant idea Torolf . I would like to sit on that chair and contemplate the surrounding _________________Cheers, Abderrahman
jotero

Joined: 27 Jan 2007
Posts: 153
Location: Germany Hannover

 Posted: Thu May 24, 2007 5:59 pm    Post subject: Hi all, it becomes still better! I wait only for the new version of you :*)_________________Kontakte
nextstep

Joined: 06 Jan 2007
Posts: 539

Posted: Fri May 25, 2007 10:20 pm    Post subject:

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

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

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Abderrahman
jotero

Joined: 27 Jan 2007
Posts: 153
Location: Germany Hannover

 Posted: Sat May 26, 2007 2:10 pm    Post subject: thank you taha Demo-k3ds ciao torolf_________________Kontakte
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