Of trilateral figures, an equilateral triangle is that which has its three sides equal, an isosceles triangle that which has two of its sides alone equal, and a scalene triangle that which has its three sides unequal.
“Isosceles Follies” is composed solely of the two isosceles triangles shown below.
Euclid’s Elements – Book 1 – Definitions, definition XXII, simply says:
“A quadrilateral figure is one which is bounded by four sides.”
So any four sided shape is a quadrilateral. The shape I use in this piece is a form of a quadrilateral that Euclid describes as a kite. Yes, it’s the shape your thinking of, like the traditional flying kite shape.
Per Wikipedia: In Euclidean geometry, a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other rather than adjacent.
The diagonals of a kite are always perpendicular to each other.
Fabrication of this artwork is made possible with an ADAP grant from the Ohio Arts Council.
The following is from my grant application, titled “The Shape of Things to Come”:
With this grant, I will create 4 artworks, printed on rigid substrates as opposed to media of the traditional digital print (paper/canvas). Printing on rigid substrates opens up a new avenue of exploration in my work by allowing my geometric constructs to expand beyond the confines of square and rectangular formats with use of a Computer Numerical Control (CNC) Router that can cut the substrate panel to my specifications.