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.
Three Hundred Forty Two Quadrilaterals, 2020 uv cured inkjet on cnc cut acrylic mounted to composite aluminum panel tubular aluminum backing frame with french cleat 48″h x 36″w, 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.
The kite shape I’m using in this piece is the one below. It looks different than the kite above but it’s still a kite. It has two pairs of equal-length sides adjacent to each other and it’s diagonals are perpendicular to each other. It’s basically been squashed where the horizontal diagonal is smaller than the vertical diagonal (shown by dashed lines) as opposed to the more traditional shape, as shown in the illustration above whereby it’s the opposite; the horizontal diagonal is longer than the vertical diagonal.
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.
