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nextstep
Site Admin
Joined: 06 Jan 2007
Posts: 158
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 Posted: Fri Sep 07, 2007 5:03 am Post subject: "Mirrored" Isosurfaces |
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Hi all,
You can use this formula to obtain a mirrored view of an isosurface F() :
| Quote: | G(x,y,z) = F(x,y,z)* F(x - 2*P(x,y,z)*a/R,
y - 2*P(x,y,z)*b/R,
z - 2*P(x,y,z)*c/R)
Where :
P(x,y,z) = ax+by+cz+d (Equation of the Plan)
R = sqrt(a^2 + b^2 + c^2) |
Maybe for future use in minimal surface? 
Enjoy 
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Cheers,
Taha |
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inode
Joined: 27 Jan 2007
Posts: 60
Location: Austria
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| Posted: Fri Sep 14, 2007 11:44 pm Post subject: |
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can you publish an example?
e.g. hyperbolic paraboloid x^2-y^2-z |
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nextstep
Site Admin
Joined: 06 Jan 2007
Posts: 158
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| Posted: Sat Sep 15, 2007 6:05 am Post subject: |
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Hi all,
Here it is  . I added the plan to the equation for better understanding. We can probably make interesting shapes by using this formulas especially for minimal surfaces...
| Quote: | /*
Hyperbol and it's mirrored image to the plan defined
by : y = 4 (or y-4 =0)
*/
Name: Mirror_1
F(): (x^2-y^2-z) *(x^2-(y-2*(y-4))^2-z) :
y-4:
[x]: -4 , 4
[y]: -4 , 12
[z]: -4 , 4
; |
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Cheers,
Taha |
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