Mathematik Skulpturen-Wettbewerb

 
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Thu Apr 23, 2009 4:15 pm    Post subject: Mathematik Skulpturen-Wettbewerb Reply with quote

Anybody seen this nice MathePunguin at
http://kommentare.zeit.de/article/2008/02/28/mathe-pinguin
or his brother at
http://kommentare.zeit.de/article/2008/02/28/mathe-pinguin-2 ?

It's part of the competition Mathematik Skulpturen-Wettbewerb
http://kommentare.zeit.de/article/2008/01/23/mathematik-skulpturenwettbewerb (a german side with many formulas)



Rearranged for K3dSurf you can load MathePinguin2 from a *.k3ds file
Code:
Name: MathePinguin2
F(): ((z-1.8)^2+(y+0.3)^2+(x+0.3)^2-0.01)* ((z-1.8)^2+(y+0.3)^2+(x-0.3)^2-0.01)* ((-(y-1.5)-2.5-2.8*(x+0.5)^2)^2 + 0.1*x^2 +0.1*(y-1.5)^2 +8*(z+2)^2 -0.8)* ((-(y-1.5)-2.5-2.8*(x-0.5)^2)^2 + 0.1*x^2 +0.1*(y-1.5)^2 +8*(z+2)^2 -0.8)* (5*(z-1.5)^2 +4*x^2 -(y+1.2)^3*(1-(y+1.2))-0.01)* (((0.3*(z+0.5)^2+y^2+x^2-1)* (0.3*(z-1.3)^2+y^2+x^2-0.3)* (20*((z-0.5)*cos( 1.3)-(x+0.5)*sin( 1.3))^2 +0.7*((z-0.5)*sin( 1.3)+(x+0.5)*cos( 1.3)+1.4)^2 +2*y^2-1)* (20*((z-0.5)*cos(-1.3)-(x-0.5)*sin(-1.3))^2 +0.7*((z-0.5)*sin(-1.3)+(x-0.5)*cos(-1.3)-1.4)^2 +2*y^2-1))-0.5)
[x]: -1.3 , 1.3
[y]: -1.4 , 1.1
[z]: -2.4 , 2.4
;


Wink Gerd
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nextstep
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Joined: 06 Jan 2007
Posts: 538

PostPosted: Thu Apr 23, 2009 9:38 pm    Post subject: Reply with quote

Hi,
Very interesting links and mathematical models . Thanks Wink
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Cheers,
Abderrahman
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Sun Apr 26, 2009 5:58 am    Post subject: Reply with quote

Some Sculptures appears a little bit different in K3dSurf...

http://kommentare.zeit.de/article/2008/02/13/blume

Here the formula for a flower called "Blume" in german.
Code:
Name: Blume
/* http://kommentare.zeit.de/article/2008/02/13/blume */
F():  (25*y*y+125*z*z +(4*x*x-100)*0.005*(16-8*x*x+x^4)) *(25*x*x+125*z*z +(4*y*y-100)*0.005*(16-8*y*y+y^4))*(12.5*(x+y)^2+125*z*z+(2*(x-y)^2-100)*0.005*(16-4*(x-y)^2+0.25*(x-y)^4))*(12.5*(x-y)^2+125*z*z+(2*(x+y)^2-100)*0.005*(16-4*(x+y)^2+0.25*(x+y)^4))*(4-x*x-y*y-150*z*z)
[x]: -5 , 5
[y]: -5 , 5
[z]: -1 , 1
;

Wink Gerd


Last edited by inode on Fri Jul 03, 2009 10:13 am; edited 1 time in total
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Sun Apr 26, 2009 6:09 am    Post subject: Reply with quote

Another nice creation

http://kommentare.zeit.de/article/2008/01/26/styled-cubus
Code:
Name: StyledCubus
/* http://kommentare.zeit.de/article/2008/01/26/styled-cubus */
F(): -2/125 +x^16 +y^16 +z^16 -2*x^12 -2*y^12 -2*z^12 +1.25*x^4 +1.25*y^4 +1.25*z^4-0.25*x^2 -0.25*y^2 -0.25*z^2+0.03125
[x]: -1.2 , 1.2
[y]: -1.2 , 1.2
[z]: -1.2 , 1.2
;
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Fri Jul 03, 2009 10:23 am    Post subject: Reply with quote

oh nooo - so many spikes

http://kommentare.zeit.de/article/2008/03/09/supernova-2
Code:
Name: Supernova2
/* http://kommentare.zeit.de/article/2008/03/09/supernova-2 */
F(): (x^2*y^2*(x^2-y^2)^2+y^2*z^2*(y^2-z^2)^2+z^2*x^2*(z^2-x^2)^2)-4
[x]: -4 , 4
[y]: -4 , 4
[z]: -4 , 4
;
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