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Variations on an algorithm: P-91 - P-100

P-91b, computer generated pen plotter drawing, ink on paper, 50cm x 50cm, 1971

© 1971 by Manfred Mohr

About the algorithm:
P91b: Each square in the matrix is filled with horizontally oriented curves formed from random points and smoothed with a third degree spline function. The spaces between the curves are filled with parallel vertical lines at variable distances. At each square of the matrix, a smaller square area is cut out from the previously filled matrix square. In each of these squares, a path finding and space dividing algorithm follows a matrix of points within the square boundary. A randomly generated path is formed starting at an edge of the square boundary and finishing when it reaches another edge of the square boundary. The path is created from combinations of horizontal and vertical lines as well as arcs of circles. This procedure is repeated by generating non-overlapping paths until the space is filled and no other paths are possible.

Variations on this algorithm:

P91, 1971: Same as P91b except squares in matrix are separated

P95, 1971: Same as P91b without outer square and curves

P95aa, 1971: Same as P95 with the addition that the paths form surfaces when they are filled with parallel lines following the rules of parity.

P90, 1971: Same as P95 except each square does not contain the maximal number of paths possible.

P96, 1971: Same as P95 with only one large square as the matrix.

Little Book of Random Numbers, 1971: cover of book, same algorithm as P96, 1971
Details: My webpage about the Little Book of Random Numbers

P97, theoretical space projection, 1972: a combination of P96 and P95aa. In addition two such drawings are overlaid with a slight shift between them.
My webpage about P-97

P100, combinatorial framework of the ordinal 15, 1972: similar to P91b except the squares are filled with a mix of this and other algorithms from this time.
Details: My webpage about P-100
Drawings from the two algorithms above were published in the catalog: Manfred Mohr, "Drawings Dessins Zeichnungen Dibujos", Galerie Weiller, Paris and Galerie Gilles Gheerbrant, Montreal, 1974     Catalog and shows