By Juan Uriagereka
Lucas structures can be abstracted from within Fibonacci structures expressed as Lindenmayer-trees by «atomizing» certain chunks of structure (which yields the Padovan series) and by pruning the immediate context of said atomizations. Such conditions may define a space with arguable syntactic significance. Fibonacci and Lucas structures are common in nature, and have been most studied in botanics. Padovan structures have been independently studied in aesthetics.