New Artwork – Tipping Point II

click on image to enlarge (except mobile devices)

Tipping Point II, 2020
uv cured inkjet on shaped composite aluminum panel
dimensions variable (overall 44″x 44″), edition of 3

From Euclid’s Elements – Book I – definition 20:

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.

New Artwork – Tipping Point I

click on image to enlarge (except mobile devices)

Tipping Point I, 2020
uv cured inkjet on shaped composite aluminum panel
dimensions variable (overall 48″x 48″), edition of 3

From Euclid’s Elements – Book I – definition 20:

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.

New Artwork – Four Squares and Forty Kites

click on image to enlarge (except mobile devices)

Four Squares and Forty Kites, 2020
uv cured ink on shaped composite aluminum panel
dimensions variable, overall 44″ x 44″ inches
edition of 3

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.