A small generative lab
Span Bloom
a flower grown from two directions
The idea
A flower grown inside the span of two vectors.
Each petal begins as a pair of coefficients in the flower's own local space. Two basis directions, v and w, decide what that space looks like on the canvas.
Every sampled point, vein, seed, and glint reaches the image through the same map: center + a·v + b·w. Change the basis and the whole bloom re-forms, still faithful to the rule.
How it's built
One map, from local coefficients to canvas
a b
Coefficients
Each point starts as a pair (a, b) in the flower's local grid.
v w
Basis
Two vectors, v and w, set the directions the span can reach.
p
Sampling
Feed every point through the map and the bloom appears.