back to menu



Manfred Mohr: Themes / Ideas


Linear Transformations (Translation) 1970 - 1978

I used Linear Transformations (Translation) in a number of different ways - to create surfaces, to create patterns, transformations in series. The artworks below exhibit the various ideas I had.



click on images below for associated webpages and details



Linear transformations from one form to another creating surfaces 1970 - 1972




P-32, Matrix Elements, 1970
P-52, Quark Lines, 1970



A set of random points are connected and then linearly transformed to a horizontal line.



A set of random points are connected and then linearly transformed to a horizontal line. This is repeated in the reverse.

Both these drawings were published in the catalog: "Manfred Mohr, Computer Graphics, Une esthétique programée", ARC - Musée d'Art Moderne, Paris, 1971



P-59, N + 3Hz, 1970
P-62, Floating Points, 1970



Two sets of inversed modulated sine curves are linearly transformed to the zero line. The curves are formed by spline functions.



Random points are selected around a circle. Spline functions are used to form a closed curve. They are then linearly transformed to a point.

Both these drawings were published in the catalog: "Manfred Mohr, Computer Graphics, Une esthétique programée", ARC - Musée d'Art Moderne, Paris, 1971



P-80, Cube Drawing, 1971
P-80 test, Cube Drawing, 1971



Random points along 4 sides of a cube are linearly transformed to their respective base straight lines.



Random points along 4 sides of a cube are linearly transformed to their respective base straight lines.

P-80 test is published in the catalog: "Buchleiter/Mohr/Murle/Treiber", Kunstverein Pforzheim 1972



P-112, Lady Quark, 1972
P-40, F 107, 1970



Random points are chosen around a circle and linearly transformed to 4 sides of a square.



Sets of random points around a circle are linearly transformed to a common point in the center.

P-112 was published in the catalog: "Manfred Mohr, Drawings Dessins Zeichnungen Dibujos", Galerie Weiller, Paris and Galerie Gilles Gheerbrant, Montreal, 1974
P-40 was published in the catalog: "Manfred Mohr, Computer Graphics, Une esthétique programée", ARC - Musée d'Art Moderne, Paris, 1971




Linear transformations creating patterns, 1973






P-137, Graph Pattern, 1973



A grid of squares each contain a second square within it. By linear transforming the 4 sides of this second square according to different global rules, various patterns are formed.

P-137 was published in the catalog "Ordinateur et Creation Artistique", Les Cahiers SESA, Catalog Espace Cardin, Num. 5, Paris, Oct. 1973
P-137 was published in the catalog: "Manfred Mohr, Drawings Dessins Zeichnungen Dibujos", Galerie Weiller, Paris and Galerie Gilles Gheerbrant, Montreal, 1974



P-136, studies for P-137, 1973
Linear transformations of lines of one square over grid of 3x3 squares. Linear transformations of lines of a square where the path of transformation is shown, rendering it black.




Linear transformations from one form to another in a series of steps, films and drawings 1971 - 1978







P-75, La Trame de Base, 1971
P-188, Cubic Limit, 1975 - 1978






A form is deformed vertically in small steps by a linear transformation to a set of randomly placed points.
Linear transformation of a grid into 2 cubes. The horizontal lines of the grid transform into one cube and the vertical lines transform into the second cube.

P-75 was published in the catalog: "Manfred Mohr, Computer Graphics, Une esthétique programée", ARC - Musée d'Art Moderne, Paris, 1971



Linear transformations of a sketch of the city hall into the coat of arms of the town of Pforzheim 1972 - 1973

Series of drawings of the transformations 1972 - 1973
Transition I, a computer generated 16mm film 1972 - 1973




- Various linear transformations of the building sketch.
- Linear transformations of the coat of arms into the building sketch using different rules.

A slow linear transformation from the sketch of the city hall into the coat of arms of the town of Pforzheim shown in a computer generated algorithmic 16mm film.

The drawings were published in the book: "Pforzheim 1973", Festschrift der Stadt Pforzheim, 1973



Cube Transformation Study, a computer generated 16mm film 1972
Square Roots, a computer generated 16mm film 1972 - 1973






A study of a cube linearly transforming to random points and back
Some images from the film showing linear transformations. A square is transformed to a circle and back again. A circle is transformed to an oval. A circle is transformed to a larger square.


Experimenting with computer generated films







© 2018 by Manfred Mohr