Blending a Hydra shape with its own output and then repeating it yields self-similar fractal structure

A specific feedback technique: draw a shape, blend it with the previous output frame, then repeat (tile) the result back into the same buffer. Because the blended frame becomes the next ‘previous frame’ and is then tiled again, the tiling operates on something already tiled, so ‘four times’ becomes four-times-four and so on. The outcome is self-similarity across scales, a visual fractal, the same way any self-referential rule iterated produces nested copies. The repeat count and blend amount control the density and depth of the pattern.

Examples

shape(3).add(src(o0)).repeat(2,2).out(o0): each frame draws a triangle, blends it with the prior output, then tiles. Over successive frames the pattern fills with self-similar triangles at multiple scales.

Assessment

Write a Hydra sketch using a shape, feedback blend, and repeat that produces a fractal-like pattern, and explain step by step why self-similarity emerges.