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abdelhamid belaid
Joined: 13 Aug 2009 Posts: 170

Posted: Thu Feb 24, 2011 5:45 pm Post subject: 


Hi all,
I wish there is still fervency to the valentine's day there are more hearts and more enjoy
Yes with some exceptions we can do a lot, you're seeing the section of the tiny rods dwon, there is no sameness over all the heart surface but anyway it remains reasonable :
For the general case I write:
Code:  F(x,y,z)= heart^2 + mesh(x,y,z)^2  R^2 , so that
heart = sqrt((sqrt(x^2+(abs(y)+0.5)^2)1.5*acos(cos(atan2((abs(y)+0.5),x))^23 ) )^2+4*(z/(0.05*x+1))^2 )4
or
heart = (sqrt((sqrt(x^2+y^2)acos(cos(atan2(y,x))^5 ) )^2+8*z^2 )4 )/sqrt(2)
and "mesh" is a choosen function as you want. 
For exemple:
Code:  F(): ( (sqrt((sqrt(x^2+y^2)acos(cos(atan2(y,x))^5 ) )^2+8*z^2 )4 )/sqrt(2) )^2 +(cos(4*x)+cos(4*y)+cos(4*z))^2/160.0225
[x]: 8.5 , 6
[y]: 6 , 6
[z]: 1.5 , 1.5

Code:  F(): ( (sqrt((sqrt(x^2+y^2)acos(cos(atan2(y,x))^5 ) )^2+8*z^2 )4 )/sqrt(2) )^2 +(cos(4*x)+0.3*cos(12*x)+cos(4*y)+0.3*cos(12*y)+cos(4*z)+0.3*cos(12*z))^2/160.0225
[x]: 8.5 , 6
[y]: 6 , 6
[z]: 1.5 , 1.5 
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Last edited by abdelhamid belaid on Tue Mar 29, 2011 4:08 am; edited 1 time in total 

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Furan
Joined: 05 Oct 2010 Posts: 64 Location: Prague, Czech Republic

Posted: Sun Feb 27, 2011 7:21 am Post subject: 


This pattern is soooo cuuuuute I couldn't resist to put it in my raytracer.
Code: 
F(x,y,z,t)=atan((cos(32*x))^3+(cos(sqrt(3)*16*y+16*x))^3+(cos(sqrt(3)*16*y16*x))^3)+0.6+800*z^2=0
x [ 0.5, 0.5]
y [ 0.5, 0.5]
z [ 0.2, 0.2]



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

Posted: Mon Feb 28, 2011 9:41 am Post subject: 


hi all
the work of you will always interesting!
ciao
torolf _________________ Kontakte 

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abdelhamid belaid
Joined: 13 Aug 2009 Posts: 170

Posted: Fri Jun 10, 2011 5:51 pm Post subject: 


Hello all,
Oh yes Furan it's really so cute pattern very sorry I'm a little bit late
Code:  ( atan((cos(8*x))^3+(cos(sqrt(3)*4*y+4*x))^3+
(cos(sqrt(3)*4*y4*x))^3)+0.8 )^2/4
+
2*( (sqrt((sqrt(x^2+y^2)acos(cos(atan2(y,x))^5 ) )^2+8*z^2 )4 )/sqrt(2) )^20.0225
x]: 8 , 6
[y]: 6 , 6
[z]: 1.6 , 1.6 
_________________ My YouTube channel 

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