LYGIA Shader Library

kaleidoscope (lygia/space/kaleidoscope)

Converts carteesian coordinates into polar coordinates emulating a kaleidoscope visual effect. Based on Daniel Ilett's tutorial on reflecting polar coordinates: https://danielilett.com/2020-02-19-tut3-8-crazy-kaleidoscopes/

Dependencies:

Check it on Github



// Use when when you want to specify the segment count and the phase for animation
vec2 kaleidoscope(in vec2 coord, in float segmentCount, in float phase) {    
    vec2 uv;

#ifdef CENTER_2D
    uv = coord - CENTER_2D;
#else
    uv = coord - 0.5;
#endif

    float radius = length(uv);
    float angle = atan(uv.y, uv.x);

    float segmentAngle = TWO_PI / segmentCount;
    angle -= segmentAngle * floor(angle / segmentAngle);
    angle = min(angle, segmentAngle - angle);    

    vec2 kuv = vec2(cos(angle + phase), sin(angle + phase)) * radius + 0.5;  
    kuv = max(min(kuv, 2.0 - kuv), -kuv);  

    return kuv;
}

// Default use when just the coordinates are given, the segment count is set to 8
vec2 kaleidoscope(in vec2 coord) {
    return kaleidoscope(coord, 8.0, 0.0);
}

// Use when when you want to specify the segment count
vec2 kaleidoscope(in vec2 coord, in float segmentCount) {    
    return kaleidoscope(coord, segmentCount, 0.0);
}

Dependencies:

Check it on Github



// Use when when you want to specify the segment count and the phase for animation
float2 kaleidoscope(float2 coord, float segmentCount, float phase) {    
    float2 uv;

#ifdef CENTER_2D
    uv = coord - CENTER_2D;
#else
    uv = coord - 0.5;
#endif

    float radius = length(uv);
    float angle = atan2(uv.y, uv.x);

    float segmentAngle = TWO_PI / segmentCount;
    angle -= segmentAngle * floor(angle / segmentAngle);
    angle = min(angle, segmentAngle - angle);    

    float2 kuv = float2(cos(angle + phase), sin(angle + phase)) * radius + 0.5;  
    kuv = max(min(kuv, 2.0 - kuv), -kuv);  

    return kuv;
}

// Default use when just the coordinates are given, the segment count is set to 8
float2 kaleidoscope(float2 coord) {
    return kaleidoscope(coord, 8.0, 0.0);
}

// Use when when you want to specify the segment count
float2 kaleidoscope(float2 coord, float segmentCount) {    
    return kaleidoscope(coord, segmentCount, 0.0);
}

License

LYGIA is dual-licensed under the Prosperity License and the Patron License for sponsors and contributors.

Sponsors and contributors are automatically added to the Patron License and they can ignore the any non-commercial rule of the Prosperity Licensed software (please take a look to the exception).

It's also possible to get a permanent comercial license hook to a single and specific version of LYGIA.

Get the latest news and releases

Sign up for the news letter bellow, joing the LYGIA's channel on Discord or follow the Github repository