FILLING CURVES

SERIES

“Filling curves are recursive fractals that adopt maximalist generative algorithms, creating conceptually simple matrices that morph into seemingly intricate forms. They epitomize the formal realization of simplexity.”

le_Brimet

In mathematical analysis, Filling curves are characterized by their intricate geometric patterns, and employ recursive algorithms to intricately traverse and fill higher-dimensional spaces, ensuring comprehensive coverage of all points within the defined region- The fractal geometry that defines the lines of the filling curves (simultaneously aesthetic and structural) is a paradigmatic example of how to take advantage of generative algorithms, respecting their rules and enhancing their genesis. Creating a line that fills space automatically generates an organic and infinite path that guides the extruder of the robotic arm toward a formal conception that merges form with function. The lines serve as the input; however, the output leverages the materialization of curves into surfaces, which are more high-tech, crystalline, or organic, composing tables or lamps. Each selected recycled material follows the formal matrix and explores the substance that gives body to the design piece in a unique and distinctive way.

01. Gosper filling curve diagram,  recursive fractal, 

02. Gary’s fractal space-filling curves diagram. 

03. Sierpinski space filling-curve.

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