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Analysis on the Order and Organization of Surface Curvature

 

Lucia Mobius Curvature Gradient Lucia Mobius Curvature Gradient Lucia Mobius Curvature Gradient Lucia Mobius Curvature Gradient Lucia Mobius Curvature Gradient

Five Studies on the Order and Structure of Mobius Surfaces, 3D printed models (2017).

 

 

Curvature Andrew Lucia

Four Studies on the Order and Structure of Planar Surfaces (2014).

Lucia Curvature Difference

Study on the Order and Structure of a Deformed Torus (2017).

Lucia Curvature Difference

Study on the Order and Structure of a Deformed Torus (2017).

Lucia Curvature Difference

Study on the Order and Structure of a Deformed Torus (2017).

The figures presented here demonstrate the curvature distribution (order) of a given surface. The rate of change upon a surface is calculated, removed from the surface, and remapped to a common origin. The corresponding spatial point cloud (shown below each respective surface) is a visualization of the organization and order of curvature inherent to each respective surface.

excerpts from the exhibition A CATALOG OF DIFFERENCE

Andrew Lucia
Cass Gilbert Visiting Assistant Professor

Zhetao Dong + Samantha Kowalke
Research Assistants

Portions of initial research were conducted by Andrew Lucia for LabStudio. Continued research was undertaken and supported through the Cass Gilbert Visiting Fellowship in the School of Architecture, University of Minnesota and generously funded therein.