Roger Coqart

PERMUTABLES 

The principle of the permutable reposes son the possible variation of geometric elements inside a structured composition.

Permutable "Chromatic Square - 1975"


We depart from a chromatic square composed of yellow, blue and red triangles which are part of a larger square containing four identical chromatic squares forming a total of sixteen elements and which are accepted as the basic composition.

A computer program generating random numbers determines and codifies successively the number of elements of a given square composition as well as the position, the size and the colour or absence of colour of the elements in question.

In the chromatic square, two adjacent triangles will form their resulting colour, for example red + yellow = orange, etc the addition of three colour triangles form grey, from light grey to black according to their number.

Composition #05

In this manner we constructed 64 random chromatic squares which form the original alphabet of the present permutable. Next figure shows a few examples of the series.

#02 #12 #22

#32 #42 #52


This alphabet allows us to construct structured combinations comporting several randomly determined chromatic squares.

Composition 46-15-09-55

In a structured combination a multitude of other combination are possible by varying the position if the chromatic squares as well as their orientation.

A work of 220x350cm composed of 16 permutables painted on resin covered wooden panels.

 

Permutable "Esschius -1975" (limited edition of 30 )

Another type of permutable of the same period was executed with computer generated geometric structures based on the division of the square.

basic square of "Esschius" permutable

In 90 randomly chosen drawings, of a population of 72! (factorial 72), on white, grey and black cardboard, the resulting "window forms were cut out.

example of drawing + resulting window


The grey, white and black cut-out cardboard which may be oriented at will to form multiple (220) combinations are superposed and framed.

DIPTYCHS