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nextstep
Site Admin
Joined: 06 Jan 2007
Posts: 539
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 Posted: Wed Jun 29, 2011 12:03 am Post subject: |
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Hi all,
It's a Wonderful flower Abdelmajid . That's the proof that a mathematician can be a romantic person 
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Cheers,
Abderrahman |
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Phil999
Joined: 08 Feb 2007
Posts: 24
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| Posted: Thu Jun 30, 2011 3:36 am Post subject: |
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| indeed phantastic work. And next to the romantic side I also like the humour! |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Sat Jul 02, 2011 1:43 am Post subject: |
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Hi all,
Sure it's a crazy attempt, he looks like if I made it of wood by a knife (we still need reality and claws as well)
| Code: | (min(
((
( abs(x)^2.8+ 7*((y/(1-(x-0.5)^2/9))^2+((z-(1-cos(2*x))/5)/(1+x/8))^2)-4 )*
(
(((x+1.95)-max(sin(1.7*(z+1.3)+0.3)/8,1.5-(2*(z+1.3)+
0.3-2.5)^2/4)/2 )/(1+3.8*max(0,2-((z+1.3)-2.6)^2/4
)))^2+((abs(y)-0.32)/(1+2.0*max(0,(z+1.15)/6+1.7-((z+1.3)-2.6)^2/4
) ))^2+(((z+1.6)+0)/20)^2-0.01
)-0.002)*
(
( ((x-1-sin(z)/8)/1.2)^2+2*((abs(y)-0.35))^2+(z/(1.8-(x-1-sin(z)/8)/1.2))^2-0.16 )*
max( 2*(((x-1.19-sin(z-0.08)/8)+0.35)/(1+(z-0.08)/12))^2+4*(abs(y)-0.3)^2-0.0225, abs((z-0.08)+1.8)-0.8)-0.01 ) -0.0009 )*
( max( (z*cos(pi/3)-(x-0.9)*sin(pi/3))^2+y^2-0.1 , (abs(z+x-2.5)-0.5) ) )-0.001
,
min(
(( ((2.5*(x-1.8))/(1+(2.5*(z-1.35))^2/8))^2/1.3+((abs(2.5*y)-0.05)/(1+((2.5*(z-1.35))-0.3)^2/4))^2+(2.5*(z-1.35))^2-1 )*
(
(((2.5*(x-1.8))-(2*(2.5*(z-1.35))+sin(2*(2.5*(z-1.35))))/16-1.2)/(1+2*(2.5*(z-1.35))^2))^2/1.5+1.5*((2.5*y)/(1+1.5*((2.5*(z-1.35))-0.15)^2+exp(-(2.5*(z-1.35)))/5))^2+(abs((2.5*(z-1.35)))-(1-cos(10*(2.5*y)/(1+((2.5*(z-1.35))-0.5)/12)))/45)^2/1-0.25 )-0.01 )*
( ((2.5*(x-1.8))-0.6)^2/1.5+(abs(2.5*y)-0.4)^2/1.3+((2.5*(z-1.35))-0.45)^2-0.09 )-0.001 ,
4*( sqrt((1.3*(abs(2.5*y)-0.5))^2+((2.5*(z-1.35))+(2.5*(x-1.8))^2/2+0.3)^2)-1)^2+((atan2(1.3*(abs(2.5*y)-0.5),(2.5*(z-1.35)))-pi/6)/7)^2+((2.5*(x-1.8))/2/(1+((2.5*(z-1.35))-0.5)^2))^2-0.04 ) ) )*
(max(5.35*( sqrt((x+2.6)^2+(z-0.45)^2)-1)^2+((atan2((x+2.6),-(z-0.45))-pi/4)/7)^2+(2*y)^2-0.04 , z-0.45))-0.02
[x]: -3.5 , 3.3
[y]: -1.3 , 1.3
[z]: -2.5 , 2
more details:
F(x,y,z)= (min(
(( /* middle body */
( abs(x)^2.8+ 7*((y/(1-(x-0.5)^2/9))^2+((z-(1-cos(2*x))/5)/(1+x/8))^2)-4 )*
(
/* back legs */
(((x+1.95)-max(sin(1.7*(z+1.3)+0.3)/8,1.5-(2*(z+1.3)+
0.3-2.5)^2/4)/2 )/(1+3.8*max(0,2-((z+1.3)-2.6)^2/4
)))^2+((abs(y)-0.32)/(1+2.0*max(0,(z+1.15)/6+1.7-((z+1.3)-2.6)^2/4
) ))^2+(((z+1.6)+0)/20)^2-0.01
)-0.002)*
(
/* front legs */
( ((x-1-sin(z)/8)/1.2)^2+2*((abs(y)-0.35))^2+(z/(1.8-(x-1-sin(z)/8)/1.2))^2-0.16 )*
max( 2*(((x-1.19-sin(z-0.08)/8)+0.35)/(1+(z-0.08)/12))^2+4*(abs(y)-0.3)^2-0.0225, abs((z-0.08)+1.8)-0.8)-0.01 ) -0.0009 )*
/* neck */
( max( (z*cos(pi/3)-(x-0.9)*sin(pi/3))^2+y^2-0.1 , (abs(z+x-2.5)-0.5) ) )-0.001
,
/* head */
min(
(( ((2.5*(x-1.8))/(1+(2.5*(z-1.35))^2/8))^2/1.3+((abs(2.5*y)-0.05)/(1+((2.5*(z-1.35))-0.3)^2/4))^2+(2.5*(z-1.35))^2-1 )*
(
/* mouth */
(((2.5*(x-1.8))-(2*(2.5*(z-1.35))+sin(2*(2.5*(z-1.35))))/16-1.2)/(1+2*(2.5*(z-1.35))^2))^2/1.5+1.5*((2.5*y)/(1+1.5*((2.5*(z-1.35))-0.15)^2+exp(-(2.5*(z-1.35)))/5))^2+(abs((2.5*(z-1.35)))-(1-cos(10*(2.5*y)/(1+((2.5*(z-1.35))-0.5)/12)))/45)^2/1-0.25 )-0.01 )*
( ((2.5*(x-1.8))-0.6)^2/1.5+(abs(2.5*y)-0.4)^2/1.3+((2.5*(z-1.35))-0.45)^2-0.09 )-0.001 ,
/* ears */
4*( sqrt((1.3*(abs(2.5*y)-0.5))^2+((2.5*(z-1.35))+(2.5*(x-1.8))^2/2+0.3)^2)-1)^2+((atan2(1.3*(abs(2.5*y)-0.5),(2.5*(z-1.35)))-pi/6)/7)^2+((2.5*(x-1.8))/2/(1+((2.5*(z-1.35))-0.5)^2))^2-0.04 ) ) )*
/* tail */
(max(5.35*( sqrt((x+2.6)^2+(z-0.45)^2)-1)^2+((atan2((x+2.6),-(z-0.45))-pi/4)/7)^2+(2*y)^2-0.04 , z-0.45))-0.02
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I think now with just some modifications we can get easily one like this:
Thanks Phil999, Oh yes Taha mathematicians are not often socially successful  thank you Taha that's exactly what I was want to say 
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Last edited by abdelhamid belaid on Sun May 19, 2013 2:14 am; edited 4 times in total |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Sun Jul 10, 2011 1:58 am Post subject: |
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Hi all,
Firstly: always, hunting is not allowed here 
We have a stringray fish today (I like this fish). We can make it swims some of time using "Morph" :
| Code: | (
(
max(
max(
(
(
sqrt((x-1.5)^2+(y/1.5)^2)-acos(cos(atan2(y/1.5,x-1.5)))+(5*(z+1.5*y^2/20*cos(x-1.5+1.3*pi)))^2 -1 )*
(
(x+0.2)^2/4+(y/(0.9-x/4))^2+(1.5*z/(0.8-(x+0.2)/4))^2-0.9 )/2-0.1 )*
(
(x+1.2)^2/2.5+(abs(y)-0.55)^2/2+(z-0.6)^2-0.02 )-0.01
,
-( (x+1.2)^2+(abs(y)-0.75)^2+(z-0.7)^2/2-0.07) )
,
-( (x+0.75)^2+(abs(y)-0.75)^2+(z-0.6)^2/2-0.1) )*
(
((x-7)/6)^2+64*(y^2+1.2*(z-0.18+((x-2)/6)^2*sin((x-2)/1.9)/2.5 )^2)/(1+exp(-0.8*(x-3)) )^2 -1 )-0.04 )*
(
(x+1.2)^2+(abs(y)-0.65)^2+(z-0.6)^2-0.01 )-10^-7 )*
(
(x-3)^2+((abs(y)-0.1+(-(x-3)-1)/3)/(1+(x-3)/2.5))^2+(6*z)^2-0.25
)-0.0001
[x]: -4 , 13
[y]: -4.5 , 4.5
[z]: -0.6 , 1.4
More details:
Let's call
A: ( sqrt((x-1.5)^2+(y/1.5)^2)-acos(cos(atan2(y/1.5,x-1.5))) +(5*(z+1.5*y^2/20*cos(x-1.5+1.3*pi)))^2 -1 )
B: ( (x+0.2)^2/4+(y/(0.9-x/4))^2+(1.5*z/(0.8-(x+0.2)/4))^2-0.9 )
C: ( (x+1.2)^2/2.5+(abs(y)-0.55)^2/2+(z-0.6)^2-0.02 )
D: -( (x+1.2)^2+(abs(y)-0.75)^2+(z-0.7)^2/2-0.07)
E: -( (x+0.75)^2+(abs(y)-0.75)^2+(z-0.6)^2/2-0.1)
F: ( ((x-7)/6)^2+64*(y^2+1.2*(z-0.18+((x-2)/6)^2*sin((x-2)/1.9)/2.5 )^2)/(1+exp(-0.8*(x-3)) )^2 -1 )
G: ( (x+1.2)^2+(abs(y)-0.65)^2+(z-0.6)^2-0.01 )
H: ( (x-3)^2+((abs(y)-0.1+(-(x-3)-1)/3)/(1+(x-3)/2.5))^2+(6*z)^2-0.25 )
So F(x,y,z,t)=((max(max((A*B /2-0.1)*C-0.01,D),E)*F-0.04)*G-10^-7)*H-0.0001
To get animation (Morph use) you can try this:
F(x,y,z,t)= ( ( max( max( ( ( sqrt(((x+3*t)-1.5)^2+(y/1.5)^2)-acos(cos(atan2(y/1.5,(x+3*t)-1.5))) +(5*(z+1.5*y^2/35*cos(8*t+(x+3*t)-1.5+1.3*pi)))^2 -1 )*
(
((x+3*t)+0.2)^2/4+(y/(0.9-(x+3*t)/4))^2+(1.5*z/(0.8-((x+3*t)+0.2)/4))^2-0.9 )/2-0.1 )*
(
((x+3*t)+1.2)^2/2.5+(abs(y)-0.55)^2/2+(z-0.6)^2-0.02 )-0.01
,
-( ((x+3*t)+1.2)^2+(abs(y)-0.75)^2+(z-0.7)^2/2-0.07) )
,
-( ((x+3*t)+0.75)^2+(abs(y)-0.75)^2+(z-0.6)^2/2-0.1) )*
(
(((x+3*t)-7)/6)^2+64*(y^2+1.2*(z-0.18+(1-t)*(((x+3*t)-2)/6)^2*sin(((x+3*t)-2)/1.9)/2.5 )^2)/(1+exp(-0.8*((x+3*t)-3)) )^2 -1
)-0.04 )*
(
((x+3*t)+1.2)^2+(abs(y)-0.65)^2+(z-0.6)^2-0.01 )-10^-7 )*
(
((x+3*t)-3)^2+((abs(y)-0.1+(-((x+3*t)-3)-1)/3)/(1+((x+3*t)-3)/2.5))^2+(6*z)^2-0.25
)-0.0001
[x]: -7 , 13
[y]: -4.5 , 4.5
[z]: -0.8 , 1.6
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Last edited by abdelhamid belaid on Sun May 19, 2013 2:20 am; edited 4 times in total |
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nextstep
Site Admin
Joined: 06 Jan 2007
Posts: 539
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| Posted: Sun Jul 10, 2011 4:41 am Post subject: |
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Hi all,
Very nice Abdelhamid and It looks really good 
Also the blue color is perfect for it
Thank you again for making our dreams real and for sharing your passion with us
_________________
Cheers,
Abderrahman |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Fri Jul 15, 2011 1:51 am Post subject: |
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Hi all,
As you see a dangerous white shark now, I am intending to do more nature works and always I welcome your ideas and suggestions (or dreams) creating these works takes some of time but that's so enjoyable
| Code: | (
(
min(max(max(
((x+0.3)/2.5)^2+(y/1.3)^2+(z+0.1+(x+0.3)/2.8)^2-1 , (x+0.3)^2/3+(y/1.3)^2+(z+(x+0.3)/2.8-0.5)^2-1 ) , abs(y/1.2)-0.85-(x-0.3)^2/2 ) , (x-0.2)^2+4*(abs(y)-1.1)^2+(z-0.1)^2-0.01 )*
max( (x+1.3)^2/1.3+y^2/1.3+(z+(x+1.3)/2.8+0.3)^2-1.7 , (x+1.3)-2.5*(z+0.2+(x+0.3)/2.8)^2 )-0.05 )*
(
min(min(
((x+5)/5)^2+abs(y/2/(1-z/14))^2.6+((z+0.4)/2.2/(1+((x+5)/15)^2) )^2-1 ,
(1.2*((x+4)/(1+0.03*exp(-(abs(y)-3.5+(x+4)/1.5))/6)+((abs(y)-3.5+(x+4)/1.2)+0.5)^2/7)/(1-(abs(y)-3.5+(x+4)/1.2)/4.5))^2+((abs(y)-3.5+(x+4)/1.2)/2.3)^2+(3.8*(abs(z+2+(y/5)^2)+0.03)/(1+0.9*((x+4)/(1+0.03*exp(-(abs(y)-3.5+(x+4)/1.2))/5)+((abs(y)-3.5+(x+4)/1.2)+0.5)^2/7)/2))^2-1 ),
(0.6*((x+7)/(1+0.5*exp(-((1.0*(z-2.3))+(x+7)/1.3))/6)+(((1.0*(z-2.3))+(x+7)/1.2)+0.5)^2/7)/(1-((1.0*(z-2.3))+(x+7)/1.2)/4.5))^2+(((1.0*(z-2.3))+(x+7)/1.2)/2)^2+(4*(abs(y)+0.1)/(1+1.5*((x+7)/(1+0.5*exp(-((1.0*(z-2.3))+(x+7)/1.2))/5)+(((1.0*(z-2.3))+(x+7)/1.2)+0.5)^2/7)/2))^2-1 )*
(
min(min(min(min(
((x+12)/10)^2+(y/(0.8+1.3*sin((x+19)/8)^4) )^2+((z+0*((x+10)/10)^2+0.4)/(0.8+1.3*sin((x+19)/8)^4) )^2-1 , (1.5*(((x+22+(z+0.3)/12+exp(-((z+0.3)-2.8)^2)/6)/1.5)/(1+0.5*exp(-((abs((z+0.3))-1.5)+((x+22+(z+0.3)/12+exp(-((z+0.3)-2.8)^2)/6)/1.5)/1.3))/6)+(((abs((z+0.3))-1.5)+((x+22+(z+0.3)/12+exp(-((z+0.3)-2.8)^2)/6)/1.5)/1.2)+0.5)^2/7)/(1-((abs((z+0.3))-1.5)+((x+22+(z+0.3)/12+exp(-((z+0.3)-2.8)^2)/6)/1.5)/1.2)/4.5))^2/2+(((abs((z+0.3))-1.5)+((x+22+(z+0.3)/12+exp(-((z+0.3)-2.8)^2)/6)/1.5)/1.2)/2)^2+(4*(abs(y)+0.1)/(1+1.5*(((x+22+(z+0.3)/12+exp(-((z+0.3)-2.8)^2)/6)/1.5)/(1+0.5*exp(-((abs((z+0.3))-1.5)+((x+22+(z+0.3)/12+exp(-((z+0.3)-2.8)^2)/6)/1.5)/1.2))/5)+(((abs((z+0.3))-1.5)+((x+22+(z+0.3)/12+exp(-((z+0.3)-2.8)^2)/6)/1.5)/1.2)+0.5)^2/7)/2))^2-1 ), (1.5*(((x+11)-(abs(y)-1.3)/1.8)/(1+0.5*exp(-(3*(abs(y)-1.3)+((x+11)-(abs(y)-1.3)/1.8)/1.3))/6)+((3*(abs(y)-1.3)+((x+11)-(abs(y)-1.3)/1.8)/1.2)+0.5)^2/7)/(1-(3*(abs(y)-1.3)+((x+11)-(abs(y)-1.3)/1.8)/1.2)/4.5))^2+((3*(abs(y)-1.3)+((x+11)-(abs(y)-1.3)/1.8)/1.2)/2)^2+(4*(abs((z+abs(y/3) +1.2))+0.1)/(1+1.5*(((x+11)-(abs(y)-1.3)/1.8)/(1+0.5*exp(-(3*(abs(y)-1.3)+((x+11)-(abs(y)-1.3)/1.8)/1.2))/5)+((3*(abs(y)-1.3)+((x+11)-(abs(y)-1.3)/1.8)/1.2)+0.5)^2/7)/2))^2-1 ), max(
(((x+16)*cos(pi/3)+(z-0.3)*sin(pi/4))/0.5)^2+ ((z-0.3)*cos(pi/3)-(x+16)*sin(pi/3))^20 +(8*y/(1+x+16))^2-1 , -(z+0.5)) ), max(
(((x+17.5)*cos(pi/3)-(z+0.85)*sin(pi/4))/0.5)^2+ (-(z+0.85)*cos(pi/3)-(x+17.5)*sin(pi/3))^20 +(8*y/(1+(x+17.5)))^2-1 , z+0.5) ) )-0.01 )-0.03 )
[x]: -25 , 2
[y]: -6.7 , 6.7
[z]: -6 , 6 |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Sun Aug 21, 2011 4:18 pm Post subject: |
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Hi all,
These are my first attempts using the ray-tracing to visualize previous K3DSurf works 
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Last edited by abdelhamid belaid on Mon Nov 07, 2011 1:34 pm; edited 2 times in total |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Tue Aug 23, 2011 3:14 pm Post subject: |
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Hi all,
Previous patterned torus
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Last edited by abdelhamid belaid on Fri Oct 14, 2011 3:34 pm; edited 1 time in total |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Sat Aug 27, 2011 11:10 pm Post subject: |
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Hi all,
a varnished color, only 4 rays at each pixel and more smoothness had cost me about four hours of rendering
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Furan
Joined: 05 Oct 2010
Posts: 64
Location: Prague, Czech Republic
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| Posted: Sun Aug 28, 2011 12:00 pm Post subject: |
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Nice one! I'm confused, was that POV-ray or your own rendering program? How many polygons have you used?
4 hours is nothing
I created this one in monstrous 7680x7680xAA4 in about one hundred hours on 20 cores. Enjoy: http://furan.sweb.cz
Hi-res will be available in a month or so.
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Sun Aug 28, 2011 10:10 pm Post subject: |
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Thank you much Furan your works are always fantastic, I think there is no need to wish to be an actual artist, as I see you are an artist
Yes I'm using POV-Ray, just now I've began and there is much to learn, I have no idea about polygons and how to calculate it or to know that (?), and also polygons meshing, also Furan you're right 4 hours is nothing but I meant sure it will be 400 for other complex works.
these are also previous works :
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Last edited by abdelhamid belaid on Sun May 19, 2013 2:33 am; edited 2 times in total |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Fri Sep 02, 2011 1:30 am Post subject: |
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Hi all,
(hexagons patterned helix/torus) Unfortunately it's not real
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Fri Sep 02, 2011 8:01 pm Post subject: |
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Again unfortunately it's not real, gold prices are so high these days
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Tue Sep 06, 2011 2:02 pm Post subject: |
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Hi all,
How nice to see this isosurface on other images with other tastes:
| Code: | max(-( acos(cos(x))+acos(cos(y))+acos(cos(z))+acos(cos(x+y))+acos(cos(x-y))+acos(cos(x+z))+acos(cos(x-z))+acos(cos(y+z))+acos(cos(y-z))-15.5 )
, abs(max(max(abs(x),abs(y)),abs(z))-9.5)-0.5)
x,y,z : -10.1 , 10.1 |
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Last edited by abdelhamid belaid on Sun May 19, 2013 2:35 am; edited 1 time in total |
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abdelhamid belaid
Joined: 13 Aug 2009
Posts: 170
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| Posted: Tue Sep 13, 2011 4:34 pm Post subject: |
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Hello all,
The same vase but it's of glass this time
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