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tomot
Joined: 21 Jul 2007
Posts: 23
Location: Vancouver
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 Posted: Fri Apr 02, 2010 11:24 pm Post subject: |
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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
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Sat Apr 03, 2010 10:41 am Post subject: |
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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 |
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tomot
Joined: 21 Jul 2007
Posts: 23
Location: Vancouver
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| Posted: Sun Apr 04, 2010 11:28 pm Post subject: |
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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
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Mon Apr 05, 2010 2:58 pm Post subject: |
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Hi all,
Also with nature 
Last edited by abdelhamid belaid on Sun May 19, 2013 3:48 pm; edited 2 times in total |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Tue Apr 06, 2010 4:39 pm Post subject: |
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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 |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Fri Apr 09, 2010 9:43 pm Post subject: |
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hi all,
Do not tell anyone 
Last edited by abdelhamid belaid on Sun May 19, 2013 4:08 pm; edited 2 times in total |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Wed Apr 14, 2010 6:20 pm Post subject: |
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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 |
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singerarts
Joined: 25 Jul 2008
Posts: 13
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| Posted: Fri Apr 16, 2010 2:47 am Post subject: New mathematical Objects |
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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.. |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Fri Apr 16, 2010 11:05 pm Post subject: |
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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 |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Sun Apr 18, 2010 2:15 pm Post subject: |
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Hi all 
Last edited by abdelhamid belaid on Sat Aug 20, 2011 10:35 pm; edited 1 time in total |
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nextstep
Site Admin
Joined: 06 Jan 2007
Posts: 539
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| Posted: Mon Apr 19, 2010 4:50 pm Post subject: |
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Hi Abdelhamid,
Fantastic models (I especially like the sphere). Very well done Abdelhamid
_________________
Cheers,
Abderrahman |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Wed Apr 21, 2010 10:50 pm Post subject: |
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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 |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Fri Apr 23, 2010 7:40 pm Post subject: |
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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 |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Tue Apr 27, 2010 5:29 pm Post subject: |
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Hi all,
Just helices
Last edited by abdelhamid belaid on Mon Nov 07, 2011 11:42 am; edited 3 times in total |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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