If we wished to relate the space of the [Cubist] painters to geometry, we should have to refer it to the non-Euclidean mathematicians; we should have… - Albert Gleizes

We do not mechanically connect the sensation of white with the idea of light, any more than we connect the sensation of black with the idea of darkness. We admit that a black jewel, even if of a dead black, may be more luminous than the white or pink satin of its case. Loving light, we refuse to measure it, and we avoid the geometrical ideas of the focus and the ray, which imply the repetition-contrary to the principle of variety which guides us-of bright planes and sombre intervals in a given direction. Loving colour, we refuse to limit it, and subdued or dazzling, fresh or muddy, we accept all the possibilities contained between the two extreme points of the spectrum, between the cold and the warm tone.

Let the picture imitate nothing; let it nakedly present its raison d'être. We should indeed be ungrateful were we to deplore the absence of all those things flowers, or landscape, or faces whose mere reflection it might have been. Nevertheless, let us admit that the reminiscence of natural forms cannot be absolutely banished; not yet, at all events. An art cannot be raised to the level of a pure effusion at the first step.

We were still attached to the representational image. We cut into the form, the different angles from which it could be seen, the perspective. The object turned in our hands, we turned round it. We were tortured by this mystery of form.