I've implemented your animation at http://www.brainjam.ca/stackoverflow/webglspiral.html. It will give you a "WebGL not supported" message if your browser does not support WebGL. It is adapted from a sandbox created by mrdoob. The basic idea is to show a rectangular surface (consisting of two triangles) and to apply the shader to the surface.
The actual shader code is as follows:
uniform float time;
uniform vec2 resolution;
uniform vec2 aspect;
void main( void ) {
vec2 position = -aspect.xy + 2.0 * gl_FragCoord.xy / resolution.xy * aspect.xy;
float angle = 0.0 ;
float radius = length(position) ;
if (position.x != 0.0 && position.y != 0.0){
angle = degrees(atan(position.y,position.x)) ;
}
float amod = mod(angle+30.0*time-120.0*log(radius), 30.0) ;
if (amod<15.0){
gl_FragColor = vec4( 0.0, 0.0, 0.0, 1.0 );
} else{
gl_FragColor = vec4( 1.0, 1.0, 1.0, 1.0 );
}
}
The spiral resizes with the browser window, but you could easily opt for a fixed size canvas instead.
Update: Just for fun, here's the exact same implementation in a jsfiddle: http://jsfiddle.net/z9EmN/
