The fasciate flower aggregates (inflorescences) of Celosia cristata (Amaranthaceae) exhibit fractal behavior in the range from ~2 to ~21 cm and have a surface fractal dimension ~3 in 3-dimensional embedding Euclidean space. The inflorescence of this plant thus provides an outstanding example of the space-filling concept that originated from Peano in 1890. Such a structure of Celosia cristata may be advantageous in wind pollination.