Mondrian: Order and randomness in abstract painting

Meyer Schapiro
Modern Art
(Nov. 1978)


Mondrian’s abstract paintings appeared to certain of his contemporaries extremely rigid, more a product of theory than of feeling. One thought of the painter as narrow, doctrinaire, in his inflexible commitment to the right angle and the unmixed primary colors. We learn that he broke with a fellow-artist and friend who had ventured to insert a diagonal in that fixed system of vertical and horizontal lines. “After your arbitrary correction of Neo-Plasticism,” he wrote to van Doesburg, “any collaboration, of no matter what kind, has become impossible for me,” and withdrew from the board of the magazine De Stijl, the organ of their advanced ideas.1

Yet in the large comprehensive shows of his art one discovers an astonishing range of qualities, a continuous growth from his twenties to his last years in fertile response to the new art of others and to a new milieu. Even while holding strictly to the horizontal and vertical in the painted lines, Mondrian brought back the abhorred diagonal in the frequent diamond shape of a square canvas. Diagonal axes are implicit too in his placing of paired colors. And in his late work he deviated from his long-held principle of the single plane by interlacing the lines to suggest a layered grid in depth. If his abstract paintings of the 1920s and 1930s seem dogmatically limited in their straight forms, these constant elements, through carefully pondered variation of length, thickness, and interval, compose a scale of forces that he deploys in always individual combinations. When studied closely, the barest works, with only a few units, reveal his canny finesse in shaping a balanced order; that variety in the sparse and straight is a ground of their continuing fascination. One need not analyze that structure, however, to sense its precision and strength. These qualities come to the eye directly like the harmony of a Greek temple. His gravely serious art unites in its forms the large regularities of architecture as a canonical constructed order with a complexity of relations inherited from the painting of nature and the city scene. The persisting white field, in heightened contrast to the black lines, is a luminous ground — it has what may be called after Keats: “the power of white Simplicity” — and, in its division by those lines, provides a measure of the rhythm of the enclosing rectangles.

Like Picasso’s art, Mondrian’s would have to be characterized very differently according to one’s choice of a particular phase as typical. Before the constructive abstract art by which he is best known, his works had been in turn impressionistic, romantic, lyrical, visionary, and symbolic; and in his last years, at seventy, after that severely intellectual style, his paintings became surprisingly sensuous and elated. In assimilating before 1914 the most advanced art of his time, he stood out unmistakably as a painter with his own qualities and powers. Moving from Holland to Paris and later to London and New York, this ascetic artist reacted to each new environment with a quiet enthusiasm, inventing new features that transformed the face of his art. When he worked in the style of Picasso and Braque in 1911 to 1913, he was not far behind them, having absorbed the most recent stage of their rapidly evolving art, and was soon able to move on to more strictly abstract forms of his own invention. Mondrian’s warm embrace of Cubism was the more surprising since he was forty then, with a long-matured practice that would have seemed to discourage the change to a style so different in principle from his own. Even more remarkable is that in adopting this challenging art from painters younger than himself, he derived from it conclusions still more radical, which were to stimulate and guide painters in Europe and America in the following decades. His later work was an outcome of reflection and a firm will to rigor, in keeping with a philosophizing habit and long meditated ideals. Few artists in our century have displayed so ardent a growth.


Mondrian wrote in more than one article that his goal was to achieve an art of “pure relations.” These, he believed, had been “veiled” in older painting by the particulars of nature which could only distract the viewer from the universal and absolute in art, the true ground of aesthetic harmony.

I wish in this essay to explore closely several of his abstract works in order to bring into clearer sight the character of those “pure relations” and to show their continuity with structures of representation in the preceding art. For this a minute analysis is necessary. It may be tedious or seem superfluous to one who grasps with feeling the order of a work of Mondrian on immediate view. I shall risk it in the belief that it will also bring us nearer to his sensibility and thought.

In a painting of 1926 in the Museum of Modern Art labeled Composition in White and Black, what seems at first glance a square set within a diamond square — a banal motif of decorators and doodlers — becomes to the probing eye a complex design with a subtly balanced asymmetry of unequal lines. We see the square as partly covered and extending into an imaginary field beyond the diamond canvas. If modeling and perspective have been given up, another cue for depth comes into play in this flat painting on the impenetrable plane of the canvas: the overlapping of forms. The intercepting edge advances and the intercepted square recedes as if passing underneath the edge. The whole appears then as a cropped representation of an object in a three-dimensional space. The missing parts are cut off from view at the limits of the diamond field. Only at the upper left corner of the square is the angle closed; but its vertical and horizontal lines cross at that point and are prolonged just enough for us to suppose that what we first perceived as a partly masked square belongs to a larger whole, a lattice or grid formed by bars of varied thickness.2 We are induced by that single crossing to imagine a similar completion of the other bars and their continuity beyond the square. The black grid seems to exist in a space between the plane of the diamond and the white voids enclosed by the painted bars.

Even if we fix our attention on the canvas as a limited plane surface with a painted set of flat marks complete in themselves as a balanced asymmetric design, another mode of spatial intuition is soon aroused: our habitual response to recognizably incomplete forms. The black bars are envisioned unreflectively as parts of a whole continuing beyond the limits of the overlapping diamond field, although no familiar object has been depicted (unless we regard the thick lines of the “abstract” square as a concrete object like the surface of the canvas itself). Each black line is seen then as an intercepted side of a complete square, just as in a perspective view we identify a partly covered object with its whole. The diamond form of Mondrian’s canvas reinforces this effect by the strong contrast of its diagonal edges with the painted lines of the square and by providing between the angles, and especially those above and below, a much greater span than between the parallel lines of the inscribed form. The latter stands out even more decidedly from a larger field in which two lines of the square cross and four triangles are marked as opposing shapes.

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Iakov Chernikhov's "Architectural Fantasy" (1929)

The spatiotemporal dimensions of abstract art and the genesis of modern architecture


Read Ross Wolfe’s “The Graveyard of Utopia: Soviet Urbanism and the Fate of the International Avant-Garde”

Modernist Architecture — Positive Bases

The theory and practice of modernist architecture were positively based on two primary phenomena that developed under capitalism: the abstract sense of space and time created by the internal dynamic of capitalism, and the more concrete process of industrialization that took place in Europe over the course of the nineteenth century. The former of these developments, the abstract side of capitalism’s spatiotemporal dialectic, first manifested itself spatially in the medium of Cubist and post-Cubist abstract painting (Neo-plasticism, Purism, Suprematism) and temporally in the simultaneous representation of motion and light by movements such as Futurism and Rayonism. This abstract temporal dimension was deepened and refined by the avant-garde’s appropriation of Taylorism, the system of “scientific management” in industry founded in America just prior to the First World War.[211] A discussion of Taylorization’s impact on modernist architecture will lead into a more general discussion of the inescapable influence that European industrialization had on its overall development. Specifically, it will examine the modernists’ fascination with machine technologies, efficiency, and the principle of standardization. All these aspects of modern society had been brought into existence by nineteenth-century capitalism in the shift from more primitive manufacturing techniques to full-blown industrialism. In this way, modernist architecture can be seen in its positive connection to the forces and logic unfolding out of capitalist modernity, in addition to its negative bases that were outlined in the previous subsection. Modernism captured in its architecture the greater project of “rationalization” that was taking place throughout the Western world during this time, as theorized by thinkers such as Weber, Adorno, and Horkheimer.

A tertiary influence may be cited alongside these two main positive bases of avant-garde architecture: the working class. In some sense, the modernists’ identification with the European proletariat can be traced to their general disgust with bourgeois society, coupled with the widespread leftist idea that the working class could play a revolutionary role in the construction of a new and more rational society. But in another sense, the modernists’ valorization of working class must have stemmed from its association with industrial production, which held an obvious positive appeal for avant-garde architects. Though this affirmation of the laboring masses of Europe thus had its sources in both positive and negative aspects of modern society, its general character should be seen as positive. Either way, the avant-garde expressed its solidarity with workers in its quest to provide them with adequate dwelling conditions, and, more broadly, to overcome the chronic shortage of urban housing. The modernists’ efforts to this end can be seen in their commitment to the creation of a standard Existenzminimuml’habitation minimum, Kleinstwohnung,or “minimum dwelling.”[212]




































FIGURE 1: The Spatiotemporal Dialectic of Capitalism and Architecture

Before detailing this more social component of modernist architectural ideology, it is proper to examine the formal properties imparted to it by the abstract spatiotemporal dimension of capitalism. Referring back to the characteristics established beforehand as belonging to the abstract forms of space and time manifested under capitalism,[213] the extent to which these qualities were expressed by modernist art and architecture will be made clear. The scientific, cyclical, and synchronous character of its temporality; the geometric, centrifugal, and global/international character of its spatiality; their mutual homogeneity — all these categories will be important to bear in mind moving through the following analysis. For these traits, generated by the inherent dynamism of modern society, would embed themselves in the artistic unconscious of a generation of painters and architects. These then would bubble to the surface in the works of the modernists, which expressed the new spatiotemporal sensibility of their age. Such expressions of this new aesthetic orientation should be seen as manifestations of the latent social dynamic of capitalism, however, mediated perhaps by the genius of individual artists.[214]

Ivan Kudriashev’s “Construction of a Rectilinear Motion” (1925)

Iakov Chernikhov’s “Architectural Fantasy 11” (1925-1931)

In his groundbreaking 1938 lectures on Space, Time, and Architecture, the modernist and insider historian of the avant-garde movement Sigfried Giedion credited the rise of the new architecture to a newfound sense of “space-time” that congealed around the turn of the twentieth century. According to Giedion, this modern aesthetic[215] sensibility described an abstract, four-dimensional unity of temporalized spatiality, much like the kind outlined in physics by Albert Einstein in 1905. This placed a heavy emphasis on the notion of “simultaneity.”[216] Giedion could have easily added the work that was taking place in philosophy in the writings of Henri Bergson around the same time.[217] In either case, he claimed that explicit awareness of this new sense of space and time appeared first in the works of abstract art, years before the artists’ insights were later taken up and applied by modernist architects. In the first decade of the century, Giedion asserted, “[p]ainters very different in type but sharing a common isolation from the public worked steadily toward a new conception of space. And no one can understand contemporary architecture, become aware of the feelings hidden behind it, unless he has grasped the spirit animating this painting.”[218] Continue reading