Fomenko A.T.
MATHEMATICAL IMPRESSIONS

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

POSTERS BY ANATOLY FOMENKO

Construction of complicated polyhedra from simple ones, II

No. 77, 1972

(Topology)

India ink and color pencil on paper, 30 x 43 cm.

The ancient light of distant galaxies travels through space, visiting a medieval temple that stands suspended on a great pedestal. Simple building blocks make up this scheme, each one equipped with a piecewise linear structure and, in particular, has faces that are rectilinear polytopes. If two building blocks have linearly isomorphic faces, then one can identify them with the help of linear homeomorphisms, or nonsingular linear mappings. Consequently, by gluing together the blocks along the faces, we can create much more complicated polyhedra, for instance, the mysterious temple pictured here.


Construction of complicated polyhedra from simple ones, II