Some pictures of 3D representations by K3DSurf 0.62 Goto page Previous  1, 2, 3, 4, 5, 6, 7, 8  Next
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tomot

Joined: 21 Jul 2007
Posts: 23
Location: Vancouver

Posted: Fri Apr 02, 2010 11:24 pm    Post subject:

Hi Abdelhamid
Thanks for your great work. I'm always amazed how small changes in formulas yield such great differences in 3d math models. Since imitation is a form of flattery. Here are some derivative 3d model formulas from the Helix formula. you posted. What a great way to learn, thanks!

I'd love to have a look at one of your Skeletal Structure formulas.
Cheers!

 Code: Name: Helix Single0 F(): (sqrt((x*cos(z) + y*sin(z))^2 + (y*cos(z) - x*sin(z))^2)-3)^2 + (atan((y*cos(z) - x*sin(z)) - (x*cos(z) + y*sin(z)))/2) [x]: -4 , 4 [y]: -4 , 4 [z]: -6 , 6 ; Name: Helix Single1 F(): (sqrt((x*cos(z) + y*sin(z))^2 + (y*cos(z) - x*sin(z))^2)/2)*4 + (atan((y*cos(z) - x*sin(z)) - (x*cos(z) + y*sin(z)))*4) [x]: -4 , 4 [y]: -4 , 4 [z]: -6 , 6 ; Name: Helix Thread F():(sqrt((x*cos(z) + y*sin(z))^2 + (y*cos(z) - x*sin(z))^2)-3)^3 + (atan((y*cos(z) - x*sin(z)) - (x*cos(z) + y*sin(z)))*2) [x]: -6 , 6 [y]: -6 , 6 [z]: -6 , 6 ; Name: Helix Double F(): (sqrt((x*cos(z) + y*sin(z))^2 + (y*cos(z) - x*sin(z))^2)-3)^2 + (atan((y*cos(z) - x*sin(z)) / (x*cos(z) + y*sin(z))) )^2 -1 [x]: -4 , 4 [y]: -4 , 4 [z]: -6 , 6 ; Name: Helix Spiral stair F():(sqrt((x*cos(z) + y*sin(z))^2 + (y*cos(z) - x*sin(z))^2)-3)^3 + (atan((y*cos(z) - x*sin(z)) - (x*cos(z) + y*sin(z)))*2)^2 -1 [x]: -4 , 4 [y]: -4 , 4 [z]: -6 , 6 ; Name: Helix Donughts F(): (sqrt((x*cos(z) + y*sin(z))^2 + (y*cos(z) - x*sin(z))^2)-3)^2 + (atan((y*cos(z) - x*sin(z)) - (x*cos(z) + y*sin(z)))*2)^2 -1 [x]: -4 , 4 [y]: -4 , 4 [z]: -6 , 6 ; Name: Helix Screw F(): (sqrt((x*cos(z) + y*sin(z))^2 + (y*cos(z) - x*sin(z))^2)-3)^2 + (cos((y*cos(z) - x*sin(z)) - (x*cos(z) + y*sin(z)))*2)/2 [x]: -4 , 4 [y]: -4 , 4 [z]: -6 , 6 ; Name: Helix Stairway F(): (sqrt((x*cos(z) + y*sin(z))*2 + (y*cos(z) - x*sin(z))^2)-3)*2 + (atan((y*cos(z) - x*sin(z)) / (x*cos(z) + y*sin(z)))+4 )*2 -1 [x]: -4 , 4 [y]: -4 , 4 [z]: -4 , 4 ;
abdelhamid belaid

Joined: 13 Aug 2009
Posts: 170

 Posted: Sat Apr 03, 2010 10:41 am    Post subject: hello all Good work Tom and I am very happy with your message thank you so much. This image is a previous work ( the cube/cage ) I had created it using if-condition function : if( (cos(3*x)/0.9)^20+(cos(3*y)/0.9)^20+(cos(3*z)/0.9)^20-1>0,abs ((x^100+y^100+z^100)^0.01-3.801 )-0.1 , 1) x,y,z € [-3.902,3.902] I hope you like: Last edited by abdelhamid belaid on Fri Feb 24, 2012 8:16 pm; edited 4 times in total
tomot

Joined: 21 Jul 2007
Posts: 23
Location: Vancouver

Posted: Sun Apr 04, 2010 11:28 pm    Post subject:

Hi Abdelhamid: I have been using "if" in same examples , I will do some more exploring , thank you.

 Code: Name:  Cube22 symmetry /*Simplify if "abs: statement & diagonal symmetry, try changing things */ F(): x*y+x*z+y*z-1.9*if((abs(x)<4)&(abs(y)<4)&(abs(z)<4), (cos(2*x) * cos(2*y)+cos(2*y) * cos(2*z)+ cos(2*z) * cos(2*x)-.1), -120)-x*y+x*z+y*z-1.9*if((abs(x)<4)&(abs(y)<4)&(abs(z)<4), (cos(2*x) * cos(2*y)+cos(2*y) * cos(2*z)+ cos(2*z) * cos(2*x)-.1), -120) [x]:-4 , 4 [y]:-4 , 4 [z]:-4 , 4 ;

abdelhamid belaid

Joined: 13 Aug 2009
Posts: 170

 Posted: Mon Apr 05, 2010 2:58 pm    Post subject: Hi all, Also with nature Last edited by abdelhamid belaid on Sun May 19, 2013 3:48 pm; edited 2 times in total
abdelhamid belaid

Joined: 13 Aug 2009
Posts: 170

 Posted: Tue Apr 06, 2010 4:39 pm    Post subject: hi all, I have made simplifying to the formula of the Helix ( u^2+v^2=x^2+y^2 ), I don't know how, maybe beauty of k3dsurf made me so busy, I'm so sorry. Last edited by abdelhamid belaid on Sun May 19, 2013 4:07 pm; edited 4 times in total
abdelhamid belaid

Joined: 13 Aug 2009
Posts: 170

 Posted: Fri Apr 09, 2010 9:43 pm    Post subject: hi all, Do not tell anyone Last edited by abdelhamid belaid on Sun May 19, 2013 4:08 pm; edited 2 times in total
abdelhamid belaid

Joined: 13 Aug 2009
Posts: 170

 Posted: Wed Apr 14, 2010 6:20 pm    Post subject: Hi all, A patterned cube with six windows Last edited by abdelhamid belaid on Sat Aug 20, 2011 10:38 pm; edited 4 times in total
singerarts

Joined: 25 Jul 2008
Posts: 13

 Posted: Fri Apr 16, 2010 2:47 am    Post subject: New mathematical Objects As an artist I really enjoy seeing how inventive you can be using K3dsurf. I am adding these new forms to my art and it opens new unimagined horizons. Someone should write a book about this stuff..
abdelhamid belaid

Joined: 13 Aug 2009
Posts: 170

 Posted: Fri Apr 16, 2010 11:05 pm    Post subject: Hello all, Thank you my dear friend, you don't know how much I'm glad for your message I hope you like these too: Last edited by abdelhamid belaid on Sat Aug 20, 2011 10:37 pm; edited 3 times in total
abdelhamid belaid

Joined: 13 Aug 2009
Posts: 170

 Posted: Sun Apr 18, 2010 2:15 pm    Post subject: Hi all Last edited by abdelhamid belaid on Sat Aug 20, 2011 10:35 pm; edited 1 time in total
nextstep

Joined: 06 Jan 2007
Posts: 538

 Posted: Mon Apr 19, 2010 4:50 pm    Post subject: Hi Abdelhamid, Fantastic models (I especially like the sphere). Very well done Abdelhamid _________________Cheers, Abderrahman
abdelhamid belaid

Joined: 13 Aug 2009
Posts: 170

 Posted: Wed Apr 21, 2010 10:50 pm    Post subject: Hi all, Thank you Taha, I hope you like these too Last edited by abdelhamid belaid on Sat Aug 20, 2011 10:07 pm; edited 3 times in total
abdelhamid belaid

Joined: 13 Aug 2009
Posts: 170

 Posted: Fri Apr 23, 2010 7:40 pm    Post subject: Hi all, It was a problem and finally solved it. Last edited by abdelhamid belaid on Sun May 19, 2013 4:10 pm; edited 4 times in total
abdelhamid belaid

Joined: 13 Aug 2009
Posts: 170

 Posted: Tue Apr 27, 2010 5:29 pm    Post subject: Hi all, Just helices Last edited by abdelhamid belaid on Mon Nov 07, 2011 11:42 am; edited 3 times in total
abdelhamid belaid

Joined: 13 Aug 2009
Posts: 170

 Posted: Sat May 01, 2010 10:26 am    Post subject: hi all, my dear friends you will find more pictures on my Flickr page: http://www.flickr.com/photos/43056454@N04/sets/72157622368691449/ Last edited by abdelhamid belaid on Sat Aug 20, 2011 10:09 pm; edited 5 times in total
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