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for(float i,g,e,s,a;i++<50.;){vec3 c,p=vec3((FC.xy*2.-r)/r.y*g,g);mat2 m=rotate2D(t*.2);p.xz*=m;p.yz*=m;p.z+=t/PI;p++;a=s=9.;for(int j;j++<16;p/=e)p=mod(--p,2.)-1.,p.yz*=rotate2D(PI/4.),a=min(a,length(p)),s/=e=dot(p,p)*.5;g+=e=1./s;o+=.01/exp(e*1e3+g)*(2.+sin(vec4(1,4,6,9)*a));}

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yonatan

38,371 subscribers

696,430 Aufrufe • vor 3 Jahren •via X (Twitter)

Wissenschaft & Technologie
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9 Kommentare

Profilbild von yonatan
yonatanvor 3 Jahren

live version:

Profilbild von Bram Kanstein
Bram Kansteinvor 3 Jahren

Mandelbrot on steroids

Profilbild von Graphite Czech 🇨🇿🇩🇪🇺🇸
Graphite Czech 🇨🇿🇩🇪🇺🇸vor 3 Jahren

Fractals are fabulous 🤩

Profilbild von hawper 🌱
hawper 🌱vor 3 Jahren

dmt is math?

Profilbild von Just a humble Ape. 🦍
Just a humble Ape. 🦍vor 3 Jahren

Tell me they are Fractals without telling me they are Fractals!

Profilbild von Julian𝕏 - e/acc & eu/acc
Julian𝕏 - e/acc & eu/accvor 3 Jahren

I see you were in Amsterdam too

Profilbild von azoulejo
azoulejovor 3 Jahren

Les fractales on peut le vérifier dans la nature chez le brocoli et dans l'espace avec les galaxies.les mathématiques l'ont adopté.Genial

Profilbild von Peri
Perivor 3 Jahren

My obsessive-compulsive disorder is about to commit😂

Profilbild von pэſ
pэſvor 3 Jahren

This reminds me of the MilkDrop visualizer

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vec3 f=vec3(.2,.4,1.5),p;for(float i,e,g,S,u;i++<50.;o+=exp(e*5e3-sin(vec4(4,3,2,0)*p.z-log(S)))/50.){p=vec3((FC.xy-.5*r)/r.y*g,g)-i/3e4;mat2 M=rotate2D(t/8.);p.yz*=M*M;p--;p.yx*=M;S=5.;for(int j;j++<20;p/=u)S/=u=dot(p=2.*clamp(p,-f,f)-p,p);g-=e=p.z/S;} #つぶやきGLSL

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647,428 Aufrufe • vor 2 Jahren

vec3 f=vec3(.6,.2,2),p;for(float i,j,e,g,S,u;i++<50.;o+=exp(-e*e*1e13/S+sin(vec4(3,4,5,0)*exp(++p.z)-log(S)))/1e2){p=(FC.rgb/r.y-1.)*g;mat2 M=rotate2D(t/8.);p.yz*=M*M;p--;p.yx*=M;S=5.;for(j=s;j++<20.;p/=u)S/=u=dot(p=2.*clamp(p,-f,f)-p,p)*(.6+g*.2);g-=e=5e-4+p.z/S;} #つぶやきGLSL
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vec3 f=vec3(.6,.2,2),p;for(float i,j,e,g,S,u;i++<50.;o+=exp(-e*e*1e13/S+sin(vec4(3,4,5,0)*exp(++p.z)-log(S)))/1e2){p=(FC.rgb/r.y-1.)*g;mat2 M=rotate2D(t/8.);p.yz*=M*M;p--;p.yx*=M;S=5.;for(j=s;j++<20.;p/=u)S/=u=dot(p=2.*clamp(p,-f,f)-p,p)*(.6+g*.2);g-=e=5e-4+p.z/S;} #つぶやきGLSL

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for(float i,g,k,e,s,q;i++<1e2;o+=.01/exp(q*i)){vec3 p=vec3((FC.xy-r*.5)/r.y*g,g-4.);p.zy*=rotate2D(cos(k=t*.3));p=vec3(log(q=s=length(p))-k,p.y/s,atan(p.x,p.z)+k)/PI*9.;k=p.y--;for(int j;j++<9;p/=e)p-=sign(p=mod(++p,2.)-1.)*.02*k*k*log(8./s),q*=e=dot(p,p);g+=q*.05;} #つぶやきGLSL
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for(float i,g,k,e,s,q;i++<1e2;o+=.01/exp(q*i)){vec3 p=vec3((FC.xy-r*.5)/r.y*g,g-4.);p.zy*=rotate2D(cos(k=t*.3));p=vec3(log(q=s=length(p))-k,p.y/s,atan(p.x,p.z)+k)/PI*9.;k=p.y--;for(int j;j++<9;p/=e)p-=sign(p=mod(++p,2.)-1.)*.02*k*k*log(8./s),q*=e=dot(p,p);g+=q*.05;} #つぶやきGLSL

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229,793 Aufrufe • vor 2 Jahren

252 chars in #つぶやきGLSL for(float i,g,e,s;++i<90.;){vec3 p=vec3(((FC.xy*2.-r)/r.x)*.7+vec2(0,1),g+.1);p.zx*=rotate2D(t*.3);s=2.;for(int i;i++<17;p=vec3(2,5,2)-abs(abs(p)*e-vec3(4)))s*=e=max(1.01,13./dot(p,p));g+=mod(length(p.xz),p.y*5.)/s;s=log(s*.1);o.rgb+=hsv(g,p.z,s/6e2);}
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252 chars in #つぶやきGLSL for(float i,g,e,s;++i<90.;){vec3 p=vec3(((FC.xy*2.-r)/r.x)*.7+vec2(0,1),g+.1);p.zx*=rotate2D(t*.3);s=2.;for(int i;i++<17;p=vec3(2,5,2)-abs(abs(p)*e-vec3(4)))s*=e=max(1.01,13./dot(p,p));g+=mod(length(p.xz),p.y*5.)/s;s=log(s*.1);o.rgb+=hsv(g,p.z,s/6e2);}

Yohei Nishitsuji

23,357 Aufrufe • vor 1 Jahr

for(float i,g,e,s;++i<139.;){vec3 p=vec3((FC.xy-.5*r)/r*.1+vec2(0,1.24),g-1.5);p.zx*=rotate2D(t*.3-2.);s=1.;for(int i;i++<23;p=vec3(.2,3.96,-.65)-abs(abs(p)*e-vec3(2.7,3.95+e*.15,3.5-g)))s*=e=5./dot(p,p*.47);g+=p.y/s;s=log(s)*g;o.rgb+=.01-hsv(e/i-.4,p.y*.4,s/1e3);}s;#つぶやきGLSL
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for(float i,g,e,s;++i<139.;){vec3 p=vec3((FC.xy-.5*r)/r*.1+vec2(0,1.24),g-1.5);p.zx*=rotate2D(t*.3-2.);s=1.;for(int i;i++<23;p=vec3(.2,3.96,-.65)-abs(abs(p)*e-vec3(2.7,3.95+e*.15,3.5-g)))s*=e=5./dot(p,p*.47);g+=p.y/s;s=log(s)*g;o.rgb+=.01-hsv(e/i-.4,p.y*.4,s/1e3);}s;#つぶやきGLSL

Yohei Nishitsuji

16,062 Aufrufe • vor 7 Monaten

for(float i,k,j,g,e,s,n=15.;i++<1e2;o.rgb+=hsv(s=log(s)/n,.5,s/2e2*k)+FC.zww*g*k/6e4){vec3 q,p=vec3((FC.xy-.5*r)/r.y*g-9.,g)+n;p.zx*=rotate2D(t/n);s=j=3.;k=s+snoise3D(vec3(p.xz*.1,t));for(q=p;j++<23.;p=vec3(0,4,-1)-abs(abs(p)*e-vec3(3,4,3)))s*=e=n/dot(p,p);g+=min(30.-q.y,p.y/s);}
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for(float i,k,j,g,e,s,n=15.;i++<1e2;o.rgb+=hsv(s=log(s)/n,.5,s/2e2*k)+FC.zww*g*k/6e4){vec3 q,p=vec3((FC.xy-.5*r)/r.y*g-9.,g)+n;p.zx*=rotate2D(t/n);s=j=3.;k=s+snoise3D(vec3(p.xz*.1,t));for(q=p;j++<23.;p=vec3(0,4,-1)-abs(abs(p)*e-vec3(3,4,3)))s*=e=n/dot(p,p);g+=min(30.-q.y,p.y/s);}

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100,341 Aufrufe • vor 1 Jahr

for(float i,g,e,s;++i<139.;){vec3 p=vec3((FC.xy-.5*r)/r*.1+vec2(0,1.18),g-1.4);p.zx*=rotate2D(t*.3-9.);s=1.;for(int i;i++<26;p=vec3(.33,4,-.64)-abs(abs(p)*e-vec3(2.7,3.95+e*.15,3.5-g)))s*=e=5./dot(p,p*.5);g+=p.y/s;s=log(s)*g+g;o.rgb+=.01-hsv(e/i-.38,p.y*.4,s/1e3);}s;#つぶやきGLSL
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for(float i,g,e,s;++i<139.;){vec3 p=vec3((FC.xy-.5*r)/r*.1+vec2(0,1.18),g-1.4);p.zx*=rotate2D(t*.3-9.);s=1.;for(int i;i++<26;p=vec3(.33,4,-.64)-abs(abs(p)*e-vec3(2.7,3.95+e*.15,3.5-g)))s*=e=5./dot(p,p*.5);g+=p.y/s;s=log(s)*g+g;o.rgb+=.01-hsv(e/i-.38,p.y*.4,s/1e3);}s;#つぶやきGLSL

Yohei Nishitsuji

23,857 Aufrufe • vor 9 Monaten

for(float e,i,a,w,x,g,h;i++<90.;o+=.01-.02/exp(max(s,e)*3e3)/h){vec3 p=vec3((FC.xy-.5*r)/r.y*g+2.,g);p.zy*=rotate2D(.5);e=p.y;h=e+p.x*.3;p.z+=t;for(a=.6;a>.001;a*=.7)p.xz*=rotate2D(5.),x=(p.x+p.z)/a+t+t,e-=w=exp(sin(x)-3.)*a,h+=abs(dot(sin(p.xz/a*.3)*a,r/r));g+=e=min(e,h*.5-1.);}
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for(float e,i,a,w,x,g,h;i++<90.;o+=.01-.02/exp(max(s,e)*3e3)/h){vec3 p=vec3((FC.xy-.5*r)/r.y*g+2.,g);p.zy*=rotate2D(.5);e=p.y;h=e+p.x*.3;p.z+=t;for(a=.6;a>.001;a*=.7)p.xz*=rotate2D(5.),x=(p.x+p.z)/a+t+t,e-=w=exp(sin(x)-3.)*a,h+=abs(dot(sin(p.xz/a*.3)*a,r/r));g+=e=min(e,h*.5-1.);}

yonatan

3,122,189 Aufrufe • vor 2 Jahren

#つぶやきGLSL for(float i,g,e,s;++i<99.;o.rgb+=hsv(.506,g*6./s,s/6e2)){vec3 p=vec3((FC.xy-.5*r)/r.y*3.6+vec2(0,3),g+.9)*rotate3D(8.9-sin(t*.3)*.3,vec3(0,9,cos(t*.3)*.1-1.2));s=3.;for(int i;i++<17;p=vec3(0,4,-1)-abs(abs(p)*e-vec3(3,4,3)))s*=e=7.5/dot(p,p*.5);g+=p.y/s;s=log(s);}
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#つぶやきGLSL for(float i,g,e,s;++i<99.;o.rgb+=hsv(.506,g*6./s,s/6e2)){vec3 p=vec3((FC.xy-.5*r)/r.y*3.6+vec2(0,3),g+.9)*rotate3D(8.9-sin(t*.3)*.3,vec3(0,9,cos(t*.3)*.1-1.2));s=3.;for(int i;i++<17;p=vec3(0,4,-1)-abs(abs(p)*e-vec3(3,4,3)))s*=e=7.5/dot(p,p*.5);g+=p.y/s;s=log(s);}

Yohei Nishitsuji

30,694 Aufrufe • vor 1 Jahr

float i,e,R,s;vec3 q,p,d=vec3(FC.xy/r-.2,.4);for(q.yz--;i++<99.;){o.rgb+=hsv(.6+e,.3,min(e*s*e/.01,.4-e)/9.);s=1.;p=q+=d*e*R*.3;p=vec3(log2(R=length(p))-t*.6,exp(-p.z/R+.5),atan(p.x,p.y)-t*.3);for(e=--p.y;s<1e3;s+=s)e+=-abs(dot(cos(p.zxy*s),.2-sin(t*.3-p*s)))/s*.24;}#つぶやきGLSL
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float i,e,R,s;vec3 q,p,d=vec3(FC.xy/r-.2,.4);for(q.yz--;i++<99.;){o.rgb+=hsv(.6+e,.3,min(e*s*e/.01,.4-e)/9.);s=1.;p=q+=d*e*R*.3;p=vec3(log2(R=length(p))-t*.6,exp(-p.z/R+.5),atan(p.x,p.y)-t*.3);for(e=--p.y;s<1e3;s+=s)e+=-abs(dot(cos(p.zxy*s),.2-sin(t*.3-p*s)))/s*.24;}#つぶやきGLSL

Yohei Nishitsuji

22,098 Aufrufe • vor 1 Jahr

o++;vec3 p,c=vec3(8,6,7)/6e2;for(float q=2.,e,i,a,g,h,k;i++<2e2;g+=a=min(e,h-q)/3.,o-=mix(c.ggbr,c.rgrr+h/7e2,h-q)/exp(a*a*1e7)/h)for(p=vec3((FC.xy-r/q)/r.y*g,g),e=p.y-g*.7+q,p.z+=t,h=e+p.x*.4,a=q;a<5e2;a/=.8)p.xz*=rotate2D(q),h-=exp(sin(k=p.z*a)/a-1.)-.44,e-=exp(sin(k+t+t)-q)/a;
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o++;vec3 p,c=vec3(8,6,7)/6e2;for(float q=2.,e,i,a,g,h,k;i++<2e2;g+=a=min(e,h-q)/3.,o-=mix(c.ggbr,c.rgrr+h/7e2,h-q)/exp(a*a*1e7)/h)for(p=vec3((FC.xy-r/q)/r.y*g,g),e=p.y-g*.7+q,p.z+=t,h=e+p.x*.4,a=q;a<5e2;a/=.8)p.xz*=rotate2D(q),h-=exp(sin(k=p.z*a)/a-1.)-.44,e-=exp(sin(k+t+t)-q)/a;

yonatan

287,341 Aufrufe • vor 2 Jahren

vec3 q,p;q.z--;for(float i,e,v;i++<1e2;o+=.01/exp(e*1e4)){p=q+=e*(.5-FC.rgb/r.y)*rotate3D(t,q+.03);p/=dot(p,p);p=vec3(log(v=length(p))+t/4.,p.y/v-1.5,atan(p.z,p.x));p=fract(p/PI*3.5)-.5;for(int i;i++<9;p=abs(p/e))v/=e=dot(p,p=mod(--p,2.)-1.);e=max(p.y-.1,length(p.xz)-1.)/v*.3;}
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vec3 q,p;q.z--;for(float i,e,v;i++<1e2;o+=.01/exp(e*1e4)){p=q+=e*(.5-FC.rgb/r.y)*rotate3D(t,q+.03);p/=dot(p,p);p=vec3(log(v=length(p))+t/4.,p.y/v-1.5,atan(p.z,p.x));p=fract(p/PI*3.5)-.5;for(int i;i++<9;p=abs(p/e))v/=e=dot(p,p=mod(--p,2.)-1.);e=max(p.y-.1,length(p.xz)-1.)/v*.3;}

yonatan

34,906 Aufrufe • vor 2 Jahren

#つぶやきGLSL float i,e,R,s;vec3 q,p,d=vec3(FC.xy/r*.8-vec2(.4,-.6),1);for(q.zy--;i++<80.;){o.rgb+=hsv(q.z,.5,min(e*s-.3,1.)/35.);s=5.;p=q+=d*e*R*.3;p=vec3(log(R=length(p*1.3)),exp2(-p.z/R),atan(p.y,p.x)-t*.3);for(e=--p.y;s<1e3;s+=s)e+=cos(dot(sin(p*s),cos(p.yyz*s+t*.9)))/s*.45;}
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#つぶやきGLSL float i,e,R,s;vec3 q,p,d=vec3(FC.xy/r*.8-vec2(.4,-.6),1);for(q.zy--;i++<80.;){o.rgb+=hsv(q.z,.5,min(e*s-.3,1.)/35.);s=5.;p=q+=d*e*R*.3;p=vec3(log(R=length(p*1.3)),exp2(-p.z/R),atan(p.y,p.x)-t*.3);for(e=--p.y;s<1e3;s+=s)e+=cos(dot(sin(p*s),cos(p.yyz*s+t*.9)))/s*.45;}

Yohei Nishitsuji

35,050 Aufrufe • vor 11 Tagen

for(float i,z,d,s;i++<1e2;){vec3 p=z*normalize(FC.rgb*2.-r.xyy);p.yz*=rotate2D(.2);for(d=5.;d<2e2;d+=d)p+=.5*sin(p.yzx*d-t*PI/10.)/d;z+=d=.5*(.01+.5*max(s=.3-abs(p.y),-s*.1));o+=(cos(s/.07+p.x+t*PI/10.-vec4(0,1,2,3)-3.)+1.5)*exp(s*9.)/d;}o=tanh(o*o/4e8);
0:20

for(float i,z,d,s;i++<1e2;){vec3 p=z*normalize(FC.rgb*2.-r.xyy);p.yz*=rotate2D(.2);for(d=5.;d<2e2;d+=d)p+=.5*sin(p.yzx*d-t*PI/10.)/d;z+=d=.5*(.01+.5*max(s=.3-abs(p.y),-s*.1));o+=(cos(s/.07+p.x+t*PI/10.-vec4(0,1,2,3)-3.)+1.5)*exp(s*9.)/d;}o=tanh(o*o/4e8);

Xor

68,134 Aufrufe • vor 1 Jahr

"LED Cube 2" for(float i,z,d,s,c;i++<5e1;){vec3 p=z*normalize(FC.rgb*2.-r.xyy);p.z+=8.;p.xz*=mat2(cos(t/4.+vec4(0,33,11,0)));z+=d=max(length(cos(p/.2))/8.,length(clamp(p,-3.,3.)-p));o+=(cos(dot(cos(p),sin(p/.6).yzx)+t+vec4(0,1,2,3))+1.1)/d/z;}o=tanh(o/7e1);
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"LED Cube 2" for(float i,z,d,s,c;i++<5e1;){vec3 p=z*normalize(FC.rgb*2.-r.xyy);p.z+=8.;p.xz*=mat2(cos(t/4.+vec4(0,33,11,0)));z+=d=max(length(cos(p/.2))/8.,length(clamp(p,-3.,3.)-p));o+=(cos(dot(cos(p),sin(p/.6).yzx)+t+vec4(0,1,2,3))+1.1)/d/z;}o=tanh(o/7e1);

Xor

18,343 Aufrufe • vor 1 Jahr

vec4 x=vec4(9,8,7,1);float i,e,a,y;vec3 p,q,d=FC.bgr/r.y-.5;q-=8.;for(d.xz*=rotate2D(.4);i++<2e2;e=max(-e,y))for(o+=i>175.?d/=d+d,tanh(log(e+=.01))/x/x:x/2e3/exp(e*1e3),p=q+=d*e,y=p.y,p.y=mod(y+t,40.)-20.,a=6.;a>.1;a*=.6)p=abs(p)-a-a,e=min(e,max(max(p.x,p.z),p.y+.5+.5*sin(y+a)));
0:40

vec4 x=vec4(9,8,7,1);float i,e,a,y;vec3 p,q,d=FC.bgr/r.y-.5;q-=8.;for(d.xz*=rotate2D(.4);i++<2e2;e=max(-e,y))for(o+=i>175.?d/=d+d,tanh(log(e+=.01))/x/x:x/2e3/exp(e*1e3),p=q+=d*e,y=p.y,p.y=mod(y+t,40.)-20.,a=6.;a>.1;a*=.6)p=abs(p)-a-a,e=min(e,max(max(p.x,p.z),p.y+.5+.5*sin(y+a)));

yonatan

36,452 Aufrufe • vor 1 Jahr

vec4 x=vec4(3,2,1,1);float i,e,a,y;vec3 p,q,d=FC.bgr/r.y-.5;q++;for(q.x-=9.,q.xz*=rotate2D(t/8.);i++<2e2;e=max(min(++y,-e),y-7.))for(o+=i>150.?d/=d+d,tanh(log(e+=1e-4))/40./x:exp(-e*1e3)/4e2*x,p=q+=d*e,y=p.y,a=3.;a>.04;a*=.6)p=abs(p)-a-a-y*.1+.2,e=min(e,max(p.x,(max(p.y,p.z))));
0:50

vec4 x=vec4(3,2,1,1);float i,e,a,y;vec3 p,q,d=FC.bgr/r.y-.5;q++;for(q.x-=9.,q.xz*=rotate2D(t/8.);i++<2e2;e=max(min(++y,-e),y-7.))for(o+=i>150.?d/=d+d,tanh(log(e+=1e-4))/40./x:exp(-e*1e3)/4e2*x,p=q+=d*e,y=p.y,a=3.;a>.04;a*=.6)p=abs(p)-a-a-y*.1+.2,e=min(e,max(p.x,(max(p.y,p.z))));

yonatan

25,133 Aufrufe • vor 1 Jahr

vec3 p=vec3(0,-.4,t),q;for(float i,d,a;i++<1e2;o+=.01/exp(d*1e4)){q=p+=vec3((FC.xy-r*.5)/r.y,1)*rotate3D(.67,FC.wzz)*d*.5;d=s;for(a=.8;a<1e3;q+=a+=a)d+=abs(dot(sin(q*a),q/q))/a*.2;q=abs(fract(p)-.5);q=q.x>q.z?q.zyx:q;d=min(max(d,.4)-p.y,length(q.xy)-.02-pow(cos(q.z*75.)*.4,6.));}
0:25

vec3 p=vec3(0,-.4,t),q;for(float i,d,a;i++<1e2;o+=.01/exp(d*1e4)){q=p+=vec3((FC.xy-r*.5)/r.y,1)*rotate3D(.67,FC.wzz)*d*.5;d=s;for(a=.8;a<1e3;q+=a+=a)d+=abs(dot(sin(q*a),q/q))/a*.2;q=abs(fract(p)-.5);q=q.x>q.z?q.zyx:q;d=min(max(d,.4)-p.y,length(q.xy)-.02-pow(cos(q.z*75.)*.4,6.));}

Kamoshika

32,399 Aufrufe • vor 1 Jahr

"Caustics" in 146 chars of #GLSL vec2 p=FC.xy/r.y*2e1+t;for(float i;i++<8.;)p+=sin(p+t/.2+i)*.4,p*=mat2(6,-8,8,6)/9.;o=vec4(tanh(length(fwidth(sin(p*.3)/.1))),texture(b,FC.xy/r));
0:20

"Caustics" in 146 chars of #GLSL vec2 p=FC.xy/r.y*2e1+t;for(float i;i++<8.;)p+=sin(p+t/.2+i)*.4,p*=mat2(6,-8,8,6)/9.;o=vec4(tanh(length(fwidth(sin(p*.3)/.1))),texture(b,FC.xy/r));

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