Vector Field Metal Print

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Original abstract oil painting, 30 inches by 30 inches, 2011

A somewhat abstracted and fanciful painting of a vector field. Of course there is (to my knowledge) no non-abstracted way to paint a vector field. This particular vector field features patterns from liquid crystal physics, along with the general div, grad and curl + cross and dot product definitions, and the non-chiral terms of the Frank elastic free energy for liquid crystals (twist, splay, and bend deformation contributions). The first thing the hubs said when he saw it was �ooooh, nabla!�
A scalar field is simply a space with a quantity assigned to each point. Each set of coordinates pulls up a value for the field in addition to a location in the space. A vector field is populated with vectors. Each set of coordinates pulls up a vector magnitude and direction. Many of the features of nematic liquid crystals are described in terms of where the molecule (or optical or dipolar) axes point on average, how unif...

Follow me on Twitter @NerdlyPainter See my images available for Royalty free and Rights Managed Licenses ! (easy peasy checkout) Statement: Art can illuminate even the most elusive and difficult to comprehend ideas. Scientific imagery can be as impenetrable as well as intriguing and beautiful. Analysis of many technical diagrams, presentations of data, and scientific images is a set of commonly accepted rules that are learned and internalized over years of study and publication. These rules and tightly codified visual metaphors help scientists communicate complex ideas mostly amongst themselves, but they could also become barriers to new ideas and insights. Valluzzi's images are abstracted and diverge from the typical rules and...