# logic & structure: 2015 workshop

Not without an aggravation, but persistently, the participating artists performed a logical analysis of a formal structure with two unary relations. Each work consisted of 16 variations corresponding to the maximal number of Boolean combinations of two sets of elements with two distinct visual properties. Each contained elements having only one of the properties, elements with two properties, and some elements with none of the properties.

The existing visualization of 16 Boolean combination called Venn Diagram (above), served as a guide:

Beth Caspar

Beth Caspar, Untitled, 2015. 32” x 32” x 5”, acrylic on corrugated cardboard.

The elements of the structure (above) are triangular walls of a pyramid. The two properties are: “to be painted with red paint,” and “to be painted with green.” Some of the walls are painted solid red, some solid green, and some with both colors. In this sense, the wall painted with two colors has both properties. The walls painted only with red are bright red, the ones painted with both colors are muted red. To represent the elements with none of the two properties, some of the walls are painted dark brown; and to represent the empty relation, some of the walls are left white.

The structure shown below, follows the similar scheme. The elements are bands painted on a mailing tube, and the properties are “to be painted with blue paint,” and “to be painted with yellow.” The bands  painted with a mixture of blue and yellow represent both properties.

Beth Caspar, Untitled, 2015. 40” x 40” x 25”, acrylic on mailing tubes.

Robert James

Robert James, Architectonic Elements in the Landscape, 2015.

Top: six details, 10-3/4” x 12-1/2” each, digital prints on paper. Bottom: The Possibilities, four digital prints on paper, 17” x 50” each.

The elements of the structure are the supportive architectural elements. The properties are: “being a column” and “having a rectangular base.”  Columns with a rectangular base represent both properties.

Wanda Siedlecka

Wanda Siedlecka, Ad infinitum, 2015. Digital print, 13″ x 36″

The elements of the structure (above) are dots arranged in a horizontal row. They are printed with cyan, magenta, yellow, and black inks. The printed dots have two properties: “printed with cyan“ and “printed with yellow.” Dots printed with both inks have both properties, and dots printed with different than cyan and yellow inks represent the elements with none of the properties.

The elements of the structure (below) are stripes on a grey background of a folded piece of paper. The two properties are: “diagonal” and “beige.” Diagonal and beige stripes represent both properties, red stripes represent elements with none of the properties.

Wanda Siedlecka, Verbatim, 2015. 16 digital folded prints, 4″ x 10″ each.