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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))^2/16-0.0225 [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))^2/16-0.0225 [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
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*y-16*x))^3)+0.6+800*z^2=0 x [ -0.5, 0.5] y [ -0.5, 0.5] z [ -0.2, 0.2]

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
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*y-4*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)   )^2-0.0225 x]: -8 , 6 [y]: -6 , 6 [z]: -1.6 , 1.6

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