Fomenko A.T.
MATHEMATICAL IMPRESSIONS

AMS (American Mathematical Society), USA,Provedence, 1990.

POSTERS BY ANATOLY FOMENKO

A fiber space

No. 64, 1970 ( Topology of manifolds)

India ink on paper, 30.5x43 cm.

In this somewhat more hard-edged elucidation of space, planes, tangents, and fibers spin out from a central point. The space is fleshed out in a very angular way, as large fibers are up and out, toward some far away destination on the horizon. Indeed, the central theme here is the fibering of a tangent to a circle with a single angular point. The circle, embedded in a two-dimensional plane, serves as the base of the fiberings, while other fibers spin off to make up tangents. The picture itself is a conditional representation of this entire process. Tangents have been twisted through angles, while one of those tangents stands out from the rest. Since the tangent is not defined at a singular point, the fibers in the picture grow smaller as they reach toward infinity. The circle, too, is represented as a drop, hanging by a singular point. Meanwhile, the space itself is organized by the shapes, warped by the presence of these strong, arching forms.


A fiber space