New Artwork – Three Hundred Forty Two Quadrilaterals

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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.

New Artwork – Four Squares and Forty Kites

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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.

New Artwork – Twenty Kites

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Twenty Kites, 2020
uv cured ink on cut-out composite aluminum panel mounted on wall mounted spindle
Panel can be turned both clockwise and counter clockwise.
dimensions variable (62″ x 62″ overall), edition of 3
This is position number 1. With each 45 degree rotation, the location of the colored kites changes as well as the orientation of the kites. Each position is its own composition.

Twenty Kites is an arrangement of the harmonics between the exponentially diminishing grouping of 4 sets of 5 kites meeting at a cross shape central connector.
Detail showing wall mounted spindle and attachment to artwork
Detail of spindle wall mounting plate