Created in 1953, the “Spirals” engraving is one of the multicomponent series of mathematical works of the Dutch graphic artist Maurits Cornelis Escher, made in the style of op-art on a wooden surface. The idea of this work, like all other ideas of "curly" engravings, Escher got from mathematical articles about mosaic fragmentation of space, projection of three-dimensional figures on a flat or two-dimensional surface, as well as ideas of non-Euclidean geometry.
“Spirals” are longitudinal figures twisted into spirals, the edges of which are constantly approaching and moving away from each other in equally distant parts of space. The farther from our gaze the spiral is curled, the more the bands we observe are wrapped and twisted as if into themselves, thereby forming a kind of recursive torus.
When the circle visible to the viewer ends and the torus returns to the starting point of the spiral strip exit, then the second row does not, contrary to expectations, create a second-order circle, but as if it enters the first twist tunnel, forming a model of a smaller spiral enclosed inside a larger one.
As in his other works, in The Spirals, Escher tries, firstly, to feel, and secondly, to visually and through figured groundedness show the dynamics of not just space, but also life phenomena, fragmented and distorted into many dimensions by various circumstances as well as objects. However, on the example of Spirals, taking into account the specifics of specific figures, in addition to the dynamism of various phenomena, the author also illustrates the interconnectedness of existential events, as if proclaiming causal-cosmological determinism as the basis of the order of things.
The graph was sincerely convinced that in order to understand the surrounding life, a person needs to turn to geometry and only correctly place the necessary figures on the sheet. In this case, visual modeling and designing will give a person the key to understanding, and subsequently - restoring order in your life.
In general, in the work of the Dutch graphic, three types of spirals can be distinguished at once. These are mosaic spirals, by means of which the author tried to illustrate the extent of space occupancy by means of an infinite set (the painting "Whirlpool"), the formation of a spherical surface (the work "Spherical spirals"), and, finally, the twisting recursive spirals discussed above.
Birch Grove Levitan Picture