Far from creating a new formalism, what these can yield is something far transcending surface values since they not only embody form as beauty, but also form in which intuitions or ideas or conjectures have taken visible substance.

The orbit of human vision has widened and art has annexed fresh territories that were formerly denied to it.

I endeavor to make a picture, for instance, exert a positive influence on the observer by its coloring, mood, and compositional idea, encouraging, say, activation, tranquilization, concentration, or harmony.

Thus, the more succinctly a train of thought was expounded, and the more comprehensive the unity of its basic idea, the closer it would approximate to the prerequisites of the mathematical way of thinking.

We call those works of art concrete that came into being on the basis of their inherent resources and rules - without external borrowing from natural phenomena, without transforming those phenomena, in other words: not by abstraction.

I made the first Moebius strip without knowing what it was.

Far from creating a new formalism, what these can yield is something far transcending surface values since they not only embody form as beauty, but also form in which intuitions or ideas or conjectures have taken visible substance.